Manuel wrote:
> > 1. Constraints.
> > [...]
> > 2. Machine learning.
> > [...]
> > 3. Knowledge-based Internet applications.
> > [...]
>
> re 1: I agree on the constraints applications, i.e., FLP as the better
> LP.
>
> re 2: Although, I am (very) far from being an expert in machine
> learning, I think, a large number (if not most) of the big
> applications there are written in Lisp and not in an LP language. Of
> course, you can argue that FLP also generalizes FP, but I am not sure
> if that really is much of an advantage for machine learning. The
> reason is that if you want to be successful in machine learning you
> better avoid (exhaustive) search, instead many heuristics and good
> classification routines (like Quinlan's C4.5) are important.
The majority of current ML applications are propositional. However, there
is a strong move at present to apply first order learning. This is mainly
in the ILP (Inductive Logic Programming) field. They have some impressive
fielded applications. (Incidentally, Quinlan is heavily
involved in this thru the FOIL system.) Why do we want to move to first
order? Because it's much more expressive. The ILP people have strong arguments
to support this answer. So first order learning is harder than propositional
learning, but you definitely want to do it anyway.
But there are good arguments to go further. We will move to higher order
learning for exactly the same reason - greater expressive power. One
higher-order construct that is really attractive here is sets. There are
two aspects to this. First one gets an expressive logic in which to learn the
theory. Second, in contrast to neural network approaches, one actually gets a
theory! The non-symbolic approaches to learning are very powerful
and effective, but there is no useful way to explain what they have learned.
In symbolic learning you get a theory you can study. The more expressive
it is the better.
In fact, the ILP people have touched briefly on this. A paper by Muggleton
and Page makes the case for higher order. Unfortunately, it's not convincing
as they propose an uncritical use of Prolog for this, so it turns into a mess.
A good flp language is needed here.
I think the clear conclusion one can draw by following the history of this
is that one day, perhaps soon, we will be learning higher-order theories.
I enclose below a short position paper which makes the case for flp in ML.
> re 3: I don't see the advantage of FLP over FP here (the examples you
> gave are very much database-oriented, so maybe SQL is the
> canditate...)
The applications that can be handled by SQL aren't at all interesting
for us. I'm talking about serious knowledge base applications involving
sophisticated query answering, uncertainty, non-monotonic reasoning, and so on
- just the kind of applications that LP languages are good for. The technology
for doing this effectively on the Web hardly exists at the moment, but some
LP researchers have begun to move in the right direction. I think
we have a real opportunity to find a significant niche here.
John
***************************************************************************
%!PS-Adobe-2.0
%%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software
%%Title: learn_position.dvi
%%Pages: 7
%%PageOrder: Ascend
%%BoundingBox: 0 0 596 842
%%DocumentPaperSizes: a4
%%EndComments
%DVIPSCommandLine: dvips learn_position.dvi
%DVIPSParameters: dpi=600, compressed, comments removed
%DVIPSSource: TeX output 1997.07.04:1642
%%BeginProcSet: texc.pro
/TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N
/X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72
mul N /landplus90{false}def /_at_rigin{isls{[0 landplus90{1 -1}{-1 1}
ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale
isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div
hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul
TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if}
forall round exch round exch]setmatrix}N /_at_landscape{/isls true N}B
/_at_manualfeed{statusdict /manualfeed true put}B /_at_copies{/#copies X}B
/FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{
/nn 8 dict N nn begin /FontType 3 N /FontMatrix fntrx N /FontBBox FBB N
string /base X array /BitMaps X /BuildChar{CharBuilder}N /Encoding IE N
end dup{/foo setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /df{
/sf 1 N /fntrx FMat N df-tail}B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0]
N df-tail}B /E{pop nn dup definefont setfont}B /ch-width{ch-data dup
length 5 sub get}B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{
128 ch-data dup length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub
get 127 sub}B /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data
dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N
/rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup
/base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx
0 ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff
setcachedevice ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff
.1 sub]/id ch-image N /rw ch-width 7 add 8 idiv string N /rc 0 N /gp 0 N
/cp 0 N{rc 0 ne{rc 1 sub /rc X rw}{G}ifelse}imagemask restore}B /G{{id
gp get /gp gp 1 add N dup 18 mod S 18 idiv pl S get exec}loop}B /adv{cp
add /cp X}B /chg{rw cp id gp 4 index getinterval putinterval dup gp add
/gp X adv}B /nd{/cp 0 N rw exit}B /lsh{rw cp 2 copy get dup 0 eq{pop 1}{
dup 255 eq{pop 254}{dup dup add 255 and S 1 and or}ifelse}ifelse put 1
adv}B /rsh{rw cp 2 copy get dup 0 eq{pop 128}{dup 255 eq{pop 127}{dup 2
idiv S 128 and or}ifelse}ifelse put 1 adv}B /clr{rw cp 2 index string
putinterval adv}B /set{rw cp fillstr 0 4 index getinterval putinterval
adv}B /fillstr 18 string 0 1 17{2 copy 255 put pop}for N /pl[{adv 1 chg}
{adv 1 chg nd}{1 add chg}{1 add chg nd}{adv lsh}{adv lsh nd}{adv rsh}{
adv rsh nd}{1 add adv}{/rc X nd}{1 add set}{1 add clr}{adv 2 chg}{adv 2
chg nd}{pop nd}]dup{bind pop}forall N /D{/cc X dup type /stringtype ne{]
}if nn /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup
length 1 sub dup 2 index S get sf div put}if put /ctr ctr 1 add N}B /I{
cc 1 add D}B /bop{userdict /bop-hook known{bop-hook}if /SI save N _at_rigin
0 0 moveto /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul
add .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore userdict
/eop-hook known{eop-hook}if showpage}N /_at_start{userdict /start-hook
known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X
/IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for
65781.76 div /vsize X 65781.76 div /hsize X}N /p{show}N /RMat[1 0 0 -1 0
0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V
{}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7
getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{pop false}
ifelse}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale rulex ruley false
RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR rulex ruley scale 1 1
false RMat{BDot}imagemask grestore}}ifelse B /QV{gsave newpath transform
round exch round exch itransform moveto rulex 0 rlineto 0 ruley neg
rlineto rulex neg 0 rlineto fill grestore}B /a{moveto}B /delta 0 N /tail
{dup /delta X 0 rmoveto}B /M{S p delta add tail}B /b{S p tail}B /c{-4 M}
B /d{-3 M}B /e{-2 M}B /f{-1 M}B /g{0 M}B /h{1 M}B /i{2 M}B /j{3 M}B /k{
4 M}B /w{0 rmoveto}B /l{p -4 w}B /m{p -3 w}B /n{p -2 w}B /o{p -1 w}B /q{
p 1 w}B /r{p 2 w}B /s{p 3 w}B /t{p 4 w}B /x{0 S rmoveto}B /y{3 2 roll p
a}B /bos{/SS save N}B /eos{SS restore}B end
%%EndProcSet
TeXDict begin 39158280 55380996 1000 600 600 (learn_position.dvi)
_at_start /Fa 1 1 df<B712FEA327037A8F34>0 D E /Fb 13 118
df<141E143E14FE1307133FB5FCA313CFEA000FB3B3A6007FB61280A4213779B630>49
D<B612FCA439007FF800B3B3ADB612FCA41E397DB824>73 D<EDFFF8020FEBFF80027F14
F0903A01FFC01FFC010790380007FFD91FFC010113C0D93FF06D6C7E49486E7E49486E7E
48496E7E48834890C86C7EA248486F1380A248486F13C0A2003F18E0A348486F13F0A400
FF18F8AC007F18F06D5DA3003F18E0A26D5D001F18C0A26C6C4B13806C18006E5C6C6D4A
5A6C5F6C6D4A5A6D6C4A5AD93FFC49485A6DB401075B0107D9C01F90C7FC010190B512FC
6D6C14F0020F1480020001F8C8FC3D3B7BB948>79 D<003FB91280A4D9F800EBF003D87F
C09238007FC049161F007EC7150FA2007C1707A200781703A400F818E0481701A4C892C7
FCB3AE010FB7FCA43B387DB742>84 D<903803FF80011F13F0017F13FC3901FF83FE3A03
FE007F804848133F484814C0001FEC1FE05B003FEC0FF0A2485A16F8150712FFA290B6FC
A301E0C8FCA4127FA36C7E1678121F6C6C14F86D14F000071403D801FFEB0FE06C9038C0
7FC06DB51200010F13FC010113E025257DA42C>101 D<13FFB5FCA412077EAFED7FC091
3803FFF8020F13FE91381F03FFDA3C01138014784A7E4A14C05CA25CA291C7FCB3A3B5D8
FC3F13FFA4303A7DB935>104 D<01FED97FE0EB0FFC00FF902601FFFC90383FFF800207
01FF90B512E0DA1F81903983F03FF0DA3C00903887801F000749DACF007F00034914DE6D
48D97FFC6D7E4A5CA24A5CA291C75BB3A3B5D8FC1FB50083B512F0A44C257DA451>109
D<01FEEB7FC000FF903803FFF8020F13FE91381F03FFDA3C011380000713780003497E6D
4814C05CA25CA291C7FCB3A3B5D8FC3F13FFA430257DA435>I<903801FFC0010F13F801
7F13FFD9FF807F3A03FE003FE048486D7E48486D7E48486D7EA2003F81491303007F81A3
00FF1680A9007F1600A3003F5D6D1307001F5DA26C6C495A6C6C495A6C6C495A6C6C6CB4
5A6C6CB5C7FC011F13FC010113C029257DA430>I<9039FF01FF80B5000F13F0023F13FC
9138FE07FFDAF00113800003496C13C00280EB7FE091C713F0EE3FF8A2EE1FFCA3EE0FFE
AA17FC161FA217F8163F17F06E137F6E14E06EEBFFC0DAF00313809139FC07FE0091383F
FFF8020F13E0020390C7FC91C9FCACB512FCA42F357EA435>I<9038FE03F000FFEB0FFE
EC3FFF91387C7F809138F8FFC000075B6C6C5A5CA29138807F80ED3F00150C92C7FC91C8
FCB3A2B512FEA422257EA427>114 D<130FA55BA45BA25B5BA25A1207001FEBFFE0B6FC
A3000390C7FCB21578A815F86CEB80F014816CEBC3E090383FFFC06D1380903803FE001D
357EB425>116 D<01FFEC3FC0B5EB3FFFA4000714016C80B3A35DA25DA26C5C6E4813E0
6CD9C03E13FF90387FFFFC011F13F00103138030257DA435>I E
/Fc 40 125 df<EB0FC0EB3FE0497E497E80EA01F8EBF07C147E0003133E13E0A5147E14
7C9138FC3FF89039F0F87FFCEA01F1EBF3F001F7EB3FF89138E01F009038FFC03F6CEB80
3EA2EC007E49137C485A486C13FC00075CEBFF01D80FDF5B381F9F81383F8F8390380FC3
E0387E07E75D38FC03F7EB01FF5D6D1410ED007C80A26CEBFF80D87E0113C0D87F03EBE0
FC3A3F87F7F1F89038FFE3FF6C01C113F06C13806C9038007FC0D801FCEB1F8026357EB3
2C>38 D<143814FC13011303EB07F8EB0FF0EB1FC0EB3F80EB7F0013FE485A485A5B1207
5B120F5B485AA2123F90C7FCA25A127EA312FE5AAC7E127EA3127F7EA27F121FA26C7E7F
12077F12037F6C7E6C7E137FEB3F80EB1FC0EB0FF0EB07F8EB03FC130113001438164272
B92C>40 D<127012FC7E7E6C7E6C7EEA0FE06C7E6C7E6C7E6C7E137F7F1480131F14C013
0FEB07E0A214F01303A214F81301A314FC1300AC130114F8A3130314F0A2130714E0A2EB
0FC0131F1480133F14005B13FE485A485A485A485AEA3FC0485A48C7FC5A5A1270164279
B92C>I<EA0F80EA1FE0EA3FF0EA7FF8A213FCA3123F121F120F120013F8A21201EA03F0
1207EA1FE0EA7FC0EAFF80130012FC12700E17718A2C>44 D<007FB6FCB71280A46C1500
21067B9B2C>I<1307497EA2131FA2133F137F13FF5A1207127FB5FC13DF139FEA7C1F12
00B3AE007FB512E0B612F0A36C14E01C3477B32C>49 D<EB0FF890387FFF8048B512E000
07804814FC391FF80FFE393FE001FF903880007F48C7EA3F80007E141F00FE15C0150F6C
15E01507A3127E123CC8FCA2150F16C0151F1680153F16005D15FE4A5A14034A5A4A5A4A
5A4A5AECFF804948C7FC495A495A495AEB3FE0EB7F8049C8FC485A4848EB03C04848EB07
E0EA1FE0485A48B6FCB7FCA36C15C023347CB32C>I<EB0FFC90387FFF8048B512E00007
14F84880391FF807FEEBC0004848137F6D7F1680151FA26C5A6CC7FCC8FC153F16005D15
FE14014A5AEC1FF890381FFFF0495BA215F86D7F90380007FEEC00FF81ED3F80ED1FC015
0FA216E01507A2123C127EB4FC150F16C0A248141F007FEC3F806DEB7F006C6C5B391FF8
07FE6CB55A6C5C6C14E0C66C1380D90FFCC7FC23357CB32C>I<EC07F04A7E141F143FA2
147EA214FCEB01F8A2EB03F0EB07E0A2EB0FC0EB1F80A2EB3F00137EA25B485AA2485A5B
1207485AA2485A48C7FCA2127E5AB712FC16FEA36C15FCC8EAF800AA91387FFFF091B512
F8A36E13F027347EB32C>I<121FEA3F80EA7FC0EAFFE0A5EA7FC0EA3F80EA1F00C7FCAE
121FEA3F80EA7FC0EAFFE0A5EA7FC0EA3F80EA1F000B2470A32C>58
D<EA0F80EA1FC0EA3FE0EA7FF0A5EA3FE0EA1FC0EA0F80C7FCAEEA0F80EA1FC0EA3FE012
7F13F0A4123F121F120F1201120313E01207EA0FC0A2EA3F80EA7F005A5A12F812700C30
71A32C>I<007FB612F0B712F8A4003F15F0CAFCA8003FB612F0B712F8A46C15F025147D
A22C>61 D<127012FC7E6C7E13E06C7EEA1FFC6C7E3803FF80C67FEB7FF0EB1FF8EB0FFE
EB03FF6D13C06D6C7EEC3FF8EC0FFC6EB4FC0201138080A25C02071300EC0FFCEC3FF8EC
7FE049485A4990C7FCEB0FFEEB1FF8EB7FF0EBFFC000035BD80FFEC8FC485AEA7FF0485A
138048C9FC5A1270212A7BAD2C>I<007FB512E015F8B612FE6C8016C03903F0003FED0F
E0ED07F01503A2ED01F8A6ED03F0A21507ED0FE0ED1FC0EDFF8090B612005D5D15FF16C0
9039F0001FE0ED07F0ED03F81501ED00FCA216FE167EA616FE16FC1501ED03F8150FED3F
F0007FB612E016C0B712806CECFE0015F027337FB22C>66 D<007FB612F8B712FCA37ED8
03F0C7FCA716781600A515F04A7EA490B5FCA5EBF001A46E5A92C7FCAD387FFFE0B5FC80
5C7E26337EB22C>70 D<007FB612FCB712FEA43AFC007E007EA70078153CC71400B3AF90
383FFFFCA2497F6D5BA227337EB22C>84 D<387FFFFCB512FEA314FC00FCC7FCB3B3B3B5
12FC14FEA36C13FC17416FB92C>91 D<387FFFFCB512FEA37EC7127EB3B3B3387FFFFEB5
FCA36C13FC17417DB92C>93 D<3801FFF0000713FE001F6D7E15E048809038C01FF81407
EC01FC381F80000006C77EC8127EA3ECFFFE131F90B5FC1203120F48EB807E383FF800EA
7FC090C7FC12FE5AA47E007F14FEEB8003383FE01F6CB612FC6C15FE6C14BF0001EBFE1F
3A003FF007FC27247CA32C>97 D<EA7FF0487EA3127F1201AAEC1FE0ECFFF801FB13FE90
B6FC16809138F07FC09138801FE091380007F049EB03F85BED01FC491300A216FE167EA8
16FE6D14FCA2ED01F86D13036DEB07F0150F9138801FE09138E07FC091B51280160001FB
5B01F813F83900F03FC027337FB22C>I<903803FFE0011F13F8017F13FE48B5FC488048
48C6FCEA0FF0485A49137E4848131890C9FC5A127EA25AA8127EA2127F6C140F6DEB1F80
6C7E6D133F6C6CEB7F003907FE03FF6CB55A6C5C6C6C5B011F13E0010390C7FC21247AA3
2C>I<EB03FE90381FFFC0017F13F048B57E48803907FE03FE390FF800FFD81FE0EB3F80
5B4848EB1FC090C7120F5A007E15E015075AB7FCA416C000FCC9FC7E127EA2127F6CEC03
C06DEB07E06C7ED80FF0130F6C6CEB3FC001FF13FF000190B512806C1500013F13FC010F
13F00101138023247CA32C>101 D<EC0FF8EC3FFE91B5FC4914805B903807FC7F14F090
390FE03F0014C092C7FCA6007FB512FEB7FCA36C5C26000FC0C7FCB3A8003FB512F04880
A36C5C21337DB22C>I<EA7FF0487EA3127F1201AAEC1FE0EC7FFC9038F9FFFE01FB7F90
B6FC9138F03F80ECC01F02807FEC000F5B5BA25BB3267FFFE0B5FCB500F11480A36C01E0
140029337FB22C>104 D<1307EB1FC0A2497EA36D5AA20107C7FC90C8FCA7387FFFC080
B5FC7EA2EA0007B3A8007FB512FCB612FEA36C14FC1F3479B32C>I<387FFFE0B57EA37E
EA0003B3B3A5007FB61280B712C0A36C158022337BB22C>108 D<3A7F83F007E09039CF
FC1FF83AFFDFFE3FFCD87FFF13FF91B57E3A07FE1FFC3E01FCEBF83F496C487E01F013E0
01E013C0A301C01380B33B7FFC3FF87FF0027F13FFD8FFFE6D13F8D87FFC4913F0023F13
7F2D2481A32C>I<397FF01FE039FFF87FFC9038F9FFFE01FB7F6CB6FC00019038F03F80
ECC01F02807FEC000F5B5BA25BB3267FFFE0B5FCB500F11480A36C01E0140029247FA32C
>I<EB07FCEB1FFF017F13C048B512F048803907FC07FC390FF001FE48486C7E0180133F
003F158090C7121F007EEC0FC0A348EC07E0A76C140F007E15C0A2007F141F6C15806D13
3F6C6CEB7F006D5B6C6C485A3907FC07FC6CB55A6C5C6C6C13C0011F90C7FCEB07FC2324
7CA32C>I<397FF01FE039FFF8FFF801FB13FE90B6FC6C158000019038F07FC09138801F
E091380007F049EB03F85BED01FC491300A216FE167EA816FE6D14FCA2ED01F86D13036D
EB07F0150F9138801FE09138E07FC091B51280160001FB5B01F813F8EC3FC091C8FCAD38
7FFFE0B57EA36C5B27367FA32C>I<D87FFEEB3FC0B53801FFF0020713F8021F13FC6C5B
39003F7FE1ECFF019138FC00F84A13704A13005CA25C5CA391C8FCAF007FB512E0B67EA3
6C5C26247EA32C>114 D<90387FF8700003B512F8120F5A5A387FC00F387E0003481301
5AA36CEB00F0007F140013F0383FFFC06C13FE6CEBFF80000314E0C66C13F8010113FCEB
0007EC00FE0078147F00FC143F151F7EA26C143F6D133E6D13FE9038F007FC90B5FC15F8
15E000F8148039701FFC0020247AA32C>I<131E133FA9007FB6FCB71280A36C1500D800
3FC8FCB1ED03C0ED07E0A5EC800F011FEB1FC0ECE07F6DB51280160001035B6D13F89038
003FE0232E7EAD2C>I<3A7FF003FF80486C487FA3007F7F0001EB000FB3A3151FA2153F
6D137F3900FE03FF90B7FC6D15807F6D13CF902603FE07130029247FA32C>I<3A7FFF01
FFFCB514FE148314016C15FC3A03E0000F80A26D131F00011500A26D5B0000143EA26D13
7E017C137CA2017E13FC013E5BA2EB3F01011F5BA21483010F5BA214C701075BA214EF01
035BA214FF6D90C7FCA26D5A147C27247EA32C>I<D87FFFEB7FFF6EB5FCB515806C1600
4A7ED807C0EB01F0A66C6C495AA3143E147FA2D801F0495AECFF87A214F7A201F113C700
005D9038F9E3CFA201FB13EFA3D97BC190C7FC017F13FFA21480A2013F5B90381F007C29
247FA32C>I<3A3FFF03FFF048018713F8A36C010313F03A00FC007E005D90387E01F801
3F5BEB1F83EC87E090380FCFC0903807EF80EB03FF6D90C7FC5C6D5A147C14FE13018090
3803EF80903807CFC0EB0FC7EC83E090381F01F0013F7FEB7E00017C137C49137E000180
3A7FFF01FFFC1483B514FE6C15FC140127247EA32C>I<3A7FFF01FFFCB5008113FE1483
14816C010113FC3A03E0000F806C7E151F6D140012005D6D133E137C017E137E013E137C
A2013F13FC6D5BA2EB0F815DA2EB07C1ECC3E0A2EB03E3ECE7C0130114F75DEB00FFA292
C7FC80A2143EA2147E147CA214FC5CA2EA0C01003F5BEA7F83EB87E0EA7E0F495A387FFF
806C90C8FC6C5A6C5AEA07E027367EA32C>I<003FB612E04815F0A4007EC7EA1FE0ED3F
C0ED7F80EDFF004A5A003C495AC7485A4A5A4A5A4A5A4A5A4AC7FCEB01FC495AEB0FF049
5A495A495A49C8FC4848EB01E04848EB03F0485A485A485A485A485AB7FCA46C15E02424
7DA32C>I<127812FCB3B3B3A9127806416DB92C>124 D E /Fd 34
122 df<EE3FFC4BB51280923907E007C092391F8001E0DB3F0013F0037E13034B1307A2
4A5A18E04A48EB038094C7FCA314075DA4140F5DA3010FB7FCA25F903A001F80007EA217
FE023F5C92C7FCA216015F5C147E16035FA214FE4A13075FA30101140F5F4AECC1C0A216
1F1783010316805CA2EF870013074A5CEE0F8EEE079EEE03FC010FEC00F04A91C7FCA35C
131FA2001C90CAFC127E5BEAFE3E133C137CEAF878EA78F0EA3FE0EA0F80344C82BA2F>
12 D<120EEA3F80127F12FFA31300127E123C0909778819>46 D<0107B612FCEFFF8018
C0903B000FF0001FF04BEB07F81703021F15FC17014B14FEA2023F1400A24B1301A2147F
18FC92C7120318F84A140718F04AEC0FE0EF1FC00101ED3F80EF7F004AEB01FEEE07F849
B612E05F9139F80007F0EE01FC01076E7E177F4AEC3F80A2010F16C0171F5CA2131F173F
5CA2133FEF7F805C1800017F5D4C5A91C7485A5F49140FEE1FE0494A5A00014AB45AB748
C7FC16F816C037397BB83A>66 D<0107B8FCA3903A000FF000034BEB007F183E141F181E
5DA2143FA25D181C147FA29238000380A24A130718004A91C7FC5E13015E4A133E167E49
B512FEA25EECF8000107147C163C4A1338A2010F147818E04A13701701011F16C016004A
14031880013F150718004A5CA2017F151E173E91C8123C177C4915FC4C5A4914070001ED
7FF0B8FCA25F38397BB838>69 D<0107B712FEA3903A000FF000074B1300187C021F153C
A25DA2143FA25D1838147FA292C8FCEE03804A130718004A91C7FCA201015CA24A131E16
3E010314FE91B5FC5EA2903807F800167C4A1378A2130FA24A1370A2011F14F0A24A90C8
FCA2133FA25CA2137FA291CAFCA25BA25B487EB6FCA337397BB836>I<0103B512F8A390
390007F8005DA2140FA25DA2141FA25DA2143FA25DA2147FA292C7FCA25CA25CA21301A2
5CA21303A25CA21307A25CA2130FA25CA2131FA25CA2133FA25CA2137FA291C8FC497EB6
FCA25C25397CB820>73 D<0207B512F0A391390007FC006F5AA215075EA3150F5EA3151F
5EA3153F5EA3157F93C7FCA35D5DA314015DA314035DA31407A25DA2140FA2003F5C5A14
1F485CA24A5A12FC00E049C8FC14FE00705B495A6C485A381E0FC06CB4C9FCEA01F82C3B
78B82C>I<0107B512FCA25E9026000FF8C7FC5D5D141FA25DA2143FA25DA2147FA292C8
FCA25CA25CA21301A25CA21303A25CA21307A25CA2130F170C4A141CA2011F153C17384A
1478A2013F157017F04A14E01601017F140317C091C71207160F49EC1F80163F4914FF00
0102071300B8FCA25E2E397BB834>76 D<0107B612F817FF1880903B000FF0003FE04BEB
0FF0EF03F8141FEF01FC5DA2023F15FEA25DA2147FEF03FC92C7FCA24A15F817074A15F0
EF0FE01301EF1FC04AEC3F80EFFE0001034A5AEE0FF091B612C04CC7FCD907F8C9FCA25C
A2130FA25CA2131FA25CA2133FA25CA2137FA291CAFCA25BA25B1201B512FCA337397BB8
38>80 D<92383FC00E913901FFF01C020713FC91391FC07E3C91393F001F7C027CEB0FF8
4A130749481303495A4948EB01F0A2495AA2011F15E091C7FCA34915C0A36E90C7FCA280
6D7E14FCECFF806D13F015FE6D6D7E6D14E0010080023F7F14079138007FFC150F150315
01A21500A2167C120EA3001E15FC5EA3003E4A5AA24B5AA2007F4A5A4B5A6D49C7FC6D13
3ED8F9F013FC39F8FC03F839F07FFFE0D8E01F138026C003FCC8FC2F3D7ABA2F>83
D<0007B812E0A25AD9F800EB001F01C049EB07C0485AD900011403121E001C5C003C1780
1403123800785C00701607140700F01700485CA2140FC792C7FC5DA2141FA25DA2143FA2
5DA2147FA292C9FCA25CA25CA21301A25CA21303A25CA21307A25CA2130FA25CEB3FF000
7FB512F8B6FCA2333971B83B>I<14F8EB07FE90381F871C90383E03FE137CEBF8011201
48486C5A485A120FEBC001001F5CA2EA3F801403007F5C1300A21407485C5AA2140F5D48
ECC1C0A2141F15831680143F1587007C017F1300ECFF076C485B9038038F8E391F0F079E
3907FE03FC3901F000F0222677A42A>97 D<133FEA1FFFA3C67E137EA313FE5BA312015B
A312035BA31207EBE0F8EBE7FE9038EF0F80390FFC07C013F89038F003E013E0D81FC013
F0A21380A2123F1300A214075A127EA2140F12FE4814E0A2141F15C05AEC3F80A215005C
147E5C387801F8007C5B383C03E0383E07C0381E1F80D80FFEC7FCEA01F01C3B77B926>
I<147F903803FFC090380FC1E090381F0070017E13784913383901F801F83803F0031207
13E0120FD81FC013F091C7FC485AA2127F90C8FCA35A5AA45AA3153015381578007C14F0
007EEB01E0003EEB03C0EC0F806CEB3E00380F81F83803FFE0C690C7FC1D2677A426>I<
ED01F815FFA3150316F0A21507A216E0A2150FA216C0A2151FA21680A2153FA202F81300
EB07FE90381F877F90383E03FF017C5BEBF80112013803F00048485B120FEBC001121F5D
EA3F801403127F01005BA214075A485CA2140FA248ECC1C0A2141F15C3ED8380143F1587
007C017F1300ECFF076C485B9038038F8E391F0F079E3907FE03FC3901F000F0253B77B9
2A>I<147F903803FFC090380FC1E090383F00F0017E13785B485A485A485A120F4913F8
001F14F0383F8001EC07E0EC1F80397F81FF00EBFFF891C7FC90C8FC5A5AA55AA2153000
7C14381578007E14F0003EEB01E0EC03C06CEB0F806CEB3E00380781F83803FFE0C690C7
FC1D2677A426>I<ED07C0ED1FF0ED3E38ED7C3CEDF8FC15F9140115F1020313F8EDF0F0
160014075DA4140F5DA4141F5D010FB512C05B16809039003F800092C7FCA45C147EA414
FE5CA413015CA413035CA413075CA4130F5CA3131F5CA391C8FC5B121CEA7E3EA2EAFE3C
137C1378EAF8F01278EA3FC0EA0F80264C82BA19>I<EC07C0EC3FF09138FC38E0903901
F01FF0EB03E0903807C00FEB0F80011F1307D93F0013E05B017E130F13FE4914C0120115
1F1203491480A2153F1207491400A25DA249137EA215FEA25D00031301140314076C6C48
5A0000131FEB787BEB3FF390380FC3F0EB00031407A25DA2140F5D121C007E131F5D00FE
49C7FC147E5C387801F8387C07E0381FFF80D803FEC8FC24367CA426>I<EB03F0EA01FF
A3EA00075CA3130F5CA3131F5CA3133F91C8FCA35B90387E07F0EC1FFCEC783E9038FFE0
1F02C01380EC800F1400485A16C05B49EB1F8012035BA2153F000715005BA25D000F147E
5B15FE5D121FD98001131C15F8163C003F01031338010013F0A216704814E0007E15F016
E0EDE1C000FE903801E38048903800FF000038143C263B7BB92A>I<EB01C0EB07E014F0
130F14E01307EB038090C7FCAB13F0EA03FCEA071EEA0E1F121CA212385B1270A25BEAF0
7E12E013FEC65AA212015B1203A25B12075BA2000F13E013C013C1001F13C01381A2EB83
801303EB0700A2130E6C5AEA07F8EA01E0143879B619>I<EB03F0EA01FFA3EA00075CA3
130F5CA3131F5CA3133F91C8FCA35B017EEB0F80ED3FE015F09039FE01C1F09038FC0387
EC0707140E0001011C13E0EBF83891383003800270C7FC00035BEBF1C0EBF38001FFC8FC
EA07FC7FEBFFC0EBE7F8380FE1FCEBC07E147F80001F809039801F81C0A21583003F013F
138001001303A21507481500007E133EEC1E0E151E00FE6D5A48EB07F80038EB01E0243B
7BB926>107 D<EB0FC0EA07FFA3EA001F1480A2133FA21400A25BA2137EA213FEA25BA2
1201A25BA21203A25BA21207A25BA2120FA25BA2121FA25BA2123FA290C7FCA25AA2EA7E
0EA212FE131EEAFC1CA2133C133812F81378EA7870EA7CE0121FEA0F80123B79B915>I<
D801E001FEEB07F03C07F803FF801FFC3C0E3C0F07C0783E3C1E3E3C03E1E01F261C1F78
D9F3C013803C383FF001F7800F02E01400007801C013FE007018C002805B4A4848EB1F80
EAF07FD8E07E5CA200000207143F01FE1700495CA2030F5C0001177E495C18FE031F5C12
0349DA8001131C18F8033F153C00070403133849020013F0A24B1570000F17E049017E15
F019E003FEECE1C0001FEE01E34949903800FF000007C70038143C3E2679A444>I<D801
E013FE3A07F803FF803A0E3C0F07C03A1E3E3C03E0261C1F787F39383FF00114E0007813
C000708114804A485AEAF07FEAE07EA20000140701FE5C5BA2150F00015D5B151F5E1203
4990383F8380160316070007027F130049137EA2160E000F147C49141E161C5E001FEC3C
7849EB1FE00007C7EA0780292679A42F>I<147F903803FFC090380FC1F090381F00F801
7E137C5B4848137E4848133E0007143F5B120F485AA2485A157F127F90C7FCA215FF5A48
14FEA2140115FC5AEC03F8A2EC07F015E0140F007C14C0007EEB1F80003EEB3F00147E6C
13F8380F83F03803FFC0C648C7FC202677A42A>I<9039078007C090391FE03FF090393C
F0787C903938F8E03E9038787FC00170497EECFF00D9F0FE148013E05CEA01E113C15CA2
D80003143FA25CA20107147FA24A1400A2010F5C5E5C4B5A131F5EEC80035E013F495A6E
485A5E6E48C7FC017F133EEC70FC90387E3FF0EC0F8001FEC9FCA25BA21201A25BA21203
A25B1207B512C0A3293580A42A>I<3903C003F0390FF01FFC391E783C0F381C7C703A3C
3EE03F8038383FC0EB7F800078150000701300151CD8F07E90C7FCEAE0FE5BA212001201
5BA312035BA312075BA3120F5BA3121F5BA3123F90C9FC120E212679A423>114
D<14FE903807FF8090380F83C090383E00E04913F00178137001F813F00001130313F0A2
15E00003EB01C06DC7FC7FEBFFC06C13F814FE6C7F6D13807F010F13C01300143F141F14
0F123E127E00FE1480A348EB1F0012E06C133E00705B6C5B381E03E06CB45AD801FEC7FC
1C267AA422>I<EB0380EB07C0130FA4131F1480A3133F1400A35B137E007FB5FCA2B6FC
3800FC00A312015BA312035BA312075BA3120F5BA3121FEB801CA2143C003F1338EB0078
147014F014E0EB01C0EA3E03381F0780380F0F00EA07FCEA01F0183579B31C>I<13F8D8
03FEEB01C0D8078FEB03E0390E0F8007121E121C0038140F131F007815C01270013F131F
00F0130000E015805BD8007E133FA201FE14005B5D120149137EA215FE120349EBFC0EA2
0201131E161C15F813E0163CD9F003133814070001ECF07091381EF8F03A00F83C78E090
393FF03FC090390FC00F00272679A42D>I<01F0130ED803FC133FD8071EEB7F80EA0E1F
121C123C0038143F49131F0070140FA25BD8F07E140000E08013FEC6485B150E12015B15
1E0003141C5BA2153C000714385B5DA35DA24A5A140300035C6D48C7FC0001130E3800F8
3CEB7FF8EB0FC0212679A426>I<01F01507D803FC903903801F80D8071E903907C03FC0
D80E1F130F121C123C0038021F131F49EC800F00701607A249133FD8F07E168000E0ED00
0313FEC64849130718000001147E5B03FE5B0003160E495BA2171E00070101141C01E05B
173C1738A217781770020314F05F0003010713016D486C485A000190391E7C07802800FC
3C3E0FC7FC90393FF81FFE90390FE003F0322679A437>I<903907E007C090391FF81FF8
9039787C383C9038F03E703A01E01EE0FE3803C01F018013C0D8070014FC481480000E15
70023F1300001E91C7FC121CA2C75AA2147EA214FEA25CA21301A24A1370A2010314F016
E0001C5B007E1401010714C000FEEC0380010F1307010EEB0F0039781CF81E9038387C3C
393FF03FF03907C00FC027267CA427>I<13F0D803FCEB01C0D8071EEB03E0D80E1F1307
121C123C0038140F4914C01270A249131FD8F07E148012E013FEC648133F160012015B5D
0003147E5BA215FE00075C5BA214015DA314035D14070003130FEBF01F3901F87FE03800
7FF7EB1FC7EB000F5DA2141F003F5C48133F92C7FC147E147C007E13FC387001F8EB03E0
6C485A383C1F80D80FFEC8FCEA03F0233679A428>I E /Fe 5 113
df<130E131F5BA2133E131C90C7FCA8EA03E0EA0FF0EA1C78EA387C123012605B12C0A2
EA01F0A3485AA2485AA2EBC180EA0F81EB8300EA1F031306120F131CEA07F8EA03E01127
7DA617>105 D<1407EC0F80141FA21500140E91C7FCA8EB03E0EB0FF8EB1C3CEB303E13
60A213C05CEA0180C7FCA25CA4495AA4495AA4495AA4495AA21238D87C1FC7FCEAFC1E5B
EAF8F8EA7FF0EA1F80193280A61B>I<3B07801FC007E03B1FE07FF01FF83B19F0E0F878
7C3B30FB807CE03E3A60FF007D804990387F001E49017E133EEAC1F849137C1201A24848
495BA35F4848485A1830EE01F018603B0F8003E003E018C01601EFE38001009039C000FF
00000E4A137C34197D983B>109 D<3907801FC0391FE07FF03939F0E0F83930FB807C38
60FF005B5BEAC1F85B1201A248485BA34A5AEA07C01660EC03E016C0390F8007C0EDC180
1403EDC70090380001FE000EEB00F823197D9829>I<9038F00FC03903FC3FF090383E70
7839061FC03C000CEB801CEC001E5B1218013E131F1200017E131E153E137CA201FC133C
157C5B1578000114F0EC01E015C09038FC03803903FE0F00EBF7FEEBE1F001E0C7FC1207
A25BA2120FA25B121FEAFFF8A22024809822>112 D E /Ff 3 51
df<EB3F803801FFF03803E0F83807803C48487E001E7F003E1480A2003C1307007C14C0
A400FC14E0AE007C14C0A36CEB0F80A36CEB1F006C131E6C6C5A3803E0F86CB45A38003F
801B277EA521>48 D<13381378EA01F8121F12FE12E01200B3AB487EB512F8A215267BA5
21>I<13FF000313E0380E03F0381800F848137C48137E00787F12FC6CEB1F80A4127CC7
FC15005C143E147E147C5C495A495A5C495A010EC7FC5B5B903870018013E0EA01803903
00030012065A001FB5FC5A485BB5FCA219267DA521>I E /Fg 28
121 df<133F14C0EB07F06D7E801301A26D7EA3147FA36E7EA36E7EA36E7EA36E7EA36E
7EA36E7EA26E7EA214014A7E5C4A7E91381E3F80143C14784A6C7E1301EB03E049486C7E
EB0F80EB1F00496D7E137E5B48486D7E485A485A000F6E7E485A485A48C87E12FE167F48
16800070151F293B7CB930>21 D<027FB512C00103B612E0130F5B017F15C09026FF81FE
C7FC3901FC007E48487F485A497F484880485AA248C7FCA2127EA2153F00FE92C7FC5AA2
5D157E5A5DA24A5AA24A5A007C495A5D003C495A003E013FC8FC6C137C380F81F83803FF
E0C66CC9FC2B257DA32F>27 D<013FB512FE90B7FC5A5A4815FE260F801CC7FCEA1E005A
00385B5A5A481378C7FC147014F0A4495AA31303A3495AA3130FA25C131FA3133FA291C8
FC131E28257EA324>I<121C127FEAFF80A5EA7F00121C0909798817>58
D<121C127FEAFF80A213C0A3127F121C1200A412011380A2120313005A1206120E5A5A5A
12600A19798817>I<1760177017F01601A21603A21607160FA24C7EA216331673166316
C3A2ED0183A2ED0303150683150C160115181530A21560A215C014011580DA03007FA202
061300140E140C5C021FB5FC5CA20260C7FC5C83495A8349C8FC1306A25BA25B13385B01
F01680487E000716FFB56C013F13FF5EA2383C7DBB3E>65 D<0103B77E4916F018FC903B
0007F80003FE4BEB00FFF07F80020FED3FC0181F4B15E0A2141FA25DA2143F19C04B143F
1980027F157F190092C812FE4D5A4A4A5AEF0FF04AEC1FC005FFC7FC49B612FC5F02FCC7
B4FCEF3FC00103ED0FE0717E5C717E1307844A1401A2130F17035CA2131F4D5A5C4D5A13
3F4D5A4A4A5A4D5A017F4BC7FC4C5A91C7EA07FC49EC3FF0B812C094C8FC16F83B397DB8
3F>I<9339FF8001C0030F13E0037F9038F80380913A01FF807E07913A07F8000F0FDA1F
E0EB079FDA3F80903803BF0002FFC76CB4FCD901FC80495A4948157E495A495A4948153E
017F163C49C9FC5B1201484816385B1207485A1830121F4993C7FCA2485AA3127F5BA312
FF90CCFCA41703A25F1706A26C160E170C171C5F6C7E5F001F5E6D4A5A6C6C4A5A16076C
6C020EC8FC6C6C143C6C6C5C6CB4495A90393FE00FC0010FB5C9FC010313FC9038007FC0
3A3D7CBA3B>I<0103B7FC4916E018F8903B0007F80007FE4BEB00FFF03F80020FED1FC0
180F4B15E0F007F0021F1503A24B15F81801143F19FC5DA2147FA292C8FCA25C18035CA2
130119F84A1507A2130319F04A150FA2010717E0181F4A16C0A2010FEE3F80A24AED7F00
187E011F16FE4D5A4A5D4D5A013F4B5A4D5A4A4A5A057FC7FC017F15FEEE03FC91C7EA0F
F049EC7FC0B8C8FC16FC16C03E397DB845>I<0103B812F05BA290260007F8C7123F4B14
07F003E0020F150118005DA2141FA25D19C0143FA24B1330A2027F1470190092C7126017
E05C16014A495A160F49B6FCA25F9138FC000F01031407A24A6DC8FCA201075C18034A13
0660010F160693C7FC4A150E180C011F161C18184A1538A2013F5E18F04A4A5AA2017F15
074D5A91C8123F49913803FF80B9FCA295C7FC3C397DB83D>I<0103B812E05BA2902600
07F8C7123F4B140FF003C0140F18015DA2141FA25D1980143FA25D1760027F14E095C7FC
92C75AA24A1301A24A495A16070101141F91B6FC94C8FCA2903903FC001F824A130EA213
07A24A130CA2010F141CA24A90C9FCA2131FA25CA2133FA25CA2137FA291CBFC497EB612
C0A33B397DB835>I<0003B812FEA25A903AF8003FC00101C0913880007E4848163C90C7
007F141C121E001C92C7FCA2485CA200305C007017180060130112E0485CA21403C71600
5DA21407A25DA2140FA25DA2141FA25DA2143FA25DA2147FA292C9FCA25CA25CA21301A2
5CA21303A25CEB0FFC003FB6FC5AA237397EB831>84 D<267FFFFC91383FFFC0B55DA200
0390C83807FC006C48ED03E06060000094C7FC5F17065FA25F6D5DA26D5D17E05F4C5AA2
4CC8FC6E1306A2013F5C161C16185EA25E6E5BA2011F495A150393C9FC1506A25D6E5AA2
010F5B157015605DA2ECE18002E3CAFC14F3EB07F614FE5C5CA25C5CA26D5AA25C91CBFC
3A3B7CB830>86 D<147E903803FF8090390FC1C38090391F00EFC0017E137F49133F485A
4848EB1F8012075B000F143F48481400A2485A5D007F147E90C7FCA215FE485C5AA21401
5D48150CA21403EDF01C16181407007C1538007E010F1330003E131F027B13706C01E113
E03A0F83C0F9C03A03FF007F80D800FCEB1F0026267DA42C>97 D<133FEA1FFFA3C67E13
7EA313FE5BA312015BA312035BA31207EBE0FCEBE3FF9038E707C0390FFE03E09038F801
F001F013F8EBE000485A15FC5BA2123F90C7FCA214015A127EA2140312FE4814F8A21407
15F05AEC0FE0A215C0EC1F80143F00781400007C137E5C383C01F86C485A380F07C06CB4
C7FCEA01FC1E3B7CB924>I<EC3FC0903801FFF0903807E07890381F801C90387E001E49
130E485A485A1207485A49131E001F141C153C484813F8EC03E0007FEB3FC09038FFFE00
14E090C8FC5A5AA7007E140315071506003E140E153C6C14706C6C13E0EC07C03903E03F
003801FFF838003FC020267DA427>101 D<16F8ED03FEED0F8792381F0F80ED3E3F167F
157CA215FC1700161C4A48C7FCA414035DA414075DA20107B512F0A39026000FE0C7FC5D
A4141F5DA4143F92C8FCA45C147EA514FE5CA413015CA4495AA45C1307A25C121E123F38
7F8F80A200FF90C9FC131E12FEEA7C3CEA7878EA1FF0EA07C0294C7CBA29>I<14E0EB03
F8A21307A314F0EB01C090C7FCAB13F8EA03FEEA070F000E1380121C121812381230EA70
1F1260133F00E0130012C05BEA007EA213FE5B1201A25B12035BA20007131813E0143800
0F133013C01470EB806014E014C01381EB838038078700EA03FEEA00F815397EB71D>
105 D<150FED3F80A2157FA31600151C92C7FCABEC0F80EC3FE0ECF0F0903801C0F84948
7E14005B130E130C131CEB1801133801305BA2EB0003A25DA21407A25DA2140FA25DA214
1FA25DA2143FA292C7FCA25CA2147EA214FEA25CA21301001E5B123F387F83F0A238FF87
E0495A00FE5BD87C1FC8FCEA707EEA3FF8EA0FC0214981B722>I<EB0FC0EA03FF5AA2EA
001F1480A2133FA21400A25BA2137EA213FEA25BA21201A25BA21203A25BA21207A25BA2
120FA25BA2121FA25BA2123FA290C7FCA25AA2EA7E03A2EAFE07130612FCA2130E130C13
1C1318EA7C38EA3C70EA1FE0EA0780123B7DB919>108 D<D803E0017F14FE3D07F801FF
E003FFC03D0E3C0781F00F03E03D1C3E1E00F83C01F026383F38D9FC707F00304914E04A
90387DC000007049EB7F8000604991C7FCA200E090C700FE1301485A017E5CA200000201
140301FE5F495CA203031407000160495C180F03075D1203494A011F13601980030F023F
13E00007F000C0495C1901031F023E1380000F1803494A150061033F150E001FEF1E1C49
91C7EA0FF80007C7000EEC03E043267EA449>I<EC1FC0ECFFF8903807E07E90380F801F
90393F000F80017E14C0491307484814E0485A4848EB03F0120F5B121F48481307A2127F
90C7FCA2150F5A4815E0A2151F16C0A248EC3F8016005D157E007E5C4A5A003E495A003F
495A6C495A6C6C48C7FC3807E07E3801FFF038003F8024267DA428>111
D<90390F8003F090391FE00FFC903939F03C1F903A70F8700F80903AE0FDE007C09038C0
FF80030013E00001491303018015F05CEA038113015CA2D800031407A25CA20107140FA2
4A14E0A2010F141F17C05CEE3F80131FEE7F004A137E16FE013F5C6E485A4B5A6E485A90
397F700F80DA383FC7FC90387E1FFCEC07E001FEC9FCA25BA21201A25BA21203A25B1207
B512C0A32C3583A42A>I<3903E001F83907F807FE390E3C1E07391C3E381F3A183F703F
800038EBE07F0030EBC0FF00705B00601500EC007E153CD8E07F90C7FCEAC07EA2120013
FE5BA312015BA312035BA312075BA3120F5BA3121F5B0007C9FC21267EA425>114
D<14FF010313C090380F80F090383E00380178131C153C4913FC0001130113E0A33903F0
00F06D13007F3801FFE014FC14FF6C14806D13C0011F13E013039038003FF01407140300
1E1301127FA24814E0A348EB03C012F800E0EB07800070EB0F006C133E001E13F83807FF
E0000190C7FC1E267CA427>I<EB01C0497E1307A4130F5CA3131F5CA3133F91C7FC007F
B51280A2B6FCD8007EC7FCA313FE5BA312015BA312035BA312075BA3120FEBC006A2140E
001F130CEB801C141814385C146014E0380F81C038078780D803FEC7FCEA00F819357EB3
1E>I<13F8D803FE1438D8070F147C000E6D13FC121C1218003814011230D8701F5C1260
1503EAE03F00C001005B5BD8007E1307A201FE5C5B150F1201495CA2151F120349EC80C0
A2153F1681EE0180A2ED7F0303FF130012014A5B3A00F8079F0E90397C0E0F1C90393FFC
07F8903907F001F02A267EA430>I<903907E001F090391FF807FC9039783E0E0F9039E0
1F1C1FD801C09038383F803A03800FF07F0100EBE0FF5A000E4A1300000C157E021F133C
001C4AC7FC1218A2C7123FA292C8FCA25CA2147EA214FEA24A130CA20101141C001E1518
003F5BD87F81143801835C00FF1560010714E03AFE0E7C01C0D87C1C495A2778383E0FC7
FC391FF00FFC3907C003F029267EA42F>120 D E /Fh 23 86 df<EC0FF0EC7FFE49B512
80903903F01FC090390F800FE090391E0007F0011C14F8133C017F13031480A201FF1307
A3EB7F00013E130F90C713F0A2ED1FE016C0ED3F80A2ED7E005D4A5AEC0FE0D903FFC7FC
15E090380001F8EC00FE157FED3F8016C0A2ED1FE0A416F0A2001F143FD87F8014E07F12
FFA2ED7FC0A249148090C712FF00FC150000E0495A0070495A6C495A001E495A390FC03F
C06CB55A000101FCC7FC38003FE0253A7BB72A>51 D<166016E0150115031507150F16C0
151F153F157F15FFEC01DF913803BF80153F1406140C141C14389138707F00146014C0EB
0180EB03005B010E13FE5B13185B5B5B0001495AEA0380130012065A5A0038495A5A5AB7
12F8A3C73807F8005DA4140FA25DA4EC3FF0011FB512C0A325397BB82A>I<010C141801
0F147890391FE007F091B512E016C01680160015FC4913F0013113800130C8FCA4137013
60A513E0EBC07F9038C3FFE09038CF81F09038FC00FC01F0137E4848133E49133F491480
C8FC151F16C0A3153FA4121FEA7F80157F00FF1580A390C7EAFF005A00C05C6C13015D00
60495A0070495A7E003CEB1FC06C495A6C6CB4C7FC3807FFFC000113F038007F80253A7A
B72A>I<EC01FE91380FFF80023F13E09138FF01F0903901F80070903907F001F890380F
C00390381F8007EB3F005B13FE4914F00001EC01C0484890C7FCA2485A120F5BA2121FEB
C07F393FC3FFC09038C781F09038CE00F84848137C01B87F01F0133F5B49EB1F8012FF49
14C0A390C7FC153FA35AA3157F1680A316005D5DA2007E495A5D003E1303003F495A6C6C
485AEC1F80260FE07FC7FC3803FFFC6C13F038003FC0253A79B72A>I<160EA2161EA216
3E163F5EA25EA25D83ED037FA21506A2150C83ED183FA21530A2156083EDC01F14011580
140303007F5C0206130F140E140C141C0218800238130714301470146091B6FC835B9138
80000349C7FCA2130683491401A25BA24981A201708013F0486C4A1380D80FFC4A13C0B5
6C017F13FF93B6FC18FE383C7DBB3E>65 D<017FB612F017FEEFFF8001009039C0003FE0
6E48EB1FF0EF07F814FF92C7EA03FC18FEA21701A25B5CA21703A218FC010315074A15F8
EF0FF0EF1FE0EF3FC0EF7F800107913801FF004AEB07FC91B612F05F9139F80007FCEE00
FE010FED7F804AEC3FC0171F18E018F0170F131F4A15F8A5013F16F04A141FA218E0173F
EF7FC0137F4AECFF804C13004C5AEE0FFCD801FFEC3FF0B812C094C7FC16F837397DB83B
>I<DB07FC130692397FFF800E4AB5EAE01E913A07FC01F03C913A1FE000787CDA7F80EB
1CFC02FEC7120FD903FC1407495A4948EC03F849481401495A4948140049C9FC5A4916F0
4848167012075B120FA248481660A25B003F1700A3485AA512FF5BA51703A2127FA25F17
066C6C150EA25F121F6D5D000F5E7F6C6C5D00034B5A6C6C4A5A6C6C020FC7FCD97F8013
1E6D6C137890390FF803F00103B512C0010091C8FCEC1FF8373D77BA3C>I<017FB612F0
17FE717E0100D9C0007F6E48EB1FE0EF07F002FF6E7E92C76C7E717E8484F03F805B5C19
C0181FA219E013035CA513074A153FA5010F17C04A157FA31980A2011F16FF4A1600A24D
5AA24D5A013F5E4A1407604D5A4D5A173F017F4B5A4A02FEC7FC4C5AEE07F8EE1FF0D801
FFECFFC0B8C8FC16FC16C03B397DB83F>I<017FB712FEA301009038C000076E48130018
3E02FF151E92C8FC180EA45B4A1506A3933801800CA20103EC03004A1500A25EA25E0107
141E4A137E91B512FEA3ECF800010F143C4A131CA3160C041C1306011F0218130C5CA293
C71218A3013F16305C1870186018E0A2017F15014AEC03C01707171FEF7F80D801FFEC03
FFB9FC1800A237397DB839>I<017FB712FCA301009038C0000F6E481301EF007C02FF15
3C92C8FC181CA45B4A150CA318181603010314064A1500A3160EA201075C4A133C16FC91
B5FCA390390FF801F89138F000781638A4011F14305CA393C8FCA2133F5CA5137F5CA448
487EB612E0A336397DB836>I<DB07FE130392393FFF80074AB5EAE00F913A07FE01F81E
913A1FF0003C3EDA7F80EB1E7E4AC7EA07FEEB03FC494814034948EC01FC49481400495A
495A49C9127CA2484816784848163812075B120FA248481630A348481600A3485AA512FF
5BA293B6FC18FE5D92C713C0007FEE7F80A417FF6C7E1800A26C7EA26C6C5CA26C6C5D6C
6C14036C6C14076C6CEC0E7E6D6C131CD93FE0EB783E903A0FFC03F01C0103B5EAC00C01
0091C8FCEC0FF8383D78BA41>I<017FB500C0B61280A24C150001009026C0000113806E
486D90C7FC5F14FF92C75BA417035B4A5DA4170713034A5DA4170F13074A5D91B7FCA302
F8C7121F130F4A5DA4173F131F4A5DA4177F133F4A5DA417FF137F4A92C8FCA448486C01
037FB60081B6FCA203015C41397DB83E>I<013FB512E0A25B9039007FE0006E5AA2147F
5DA514FF92C7FCA55B5CA513035CA513075CA5130F5CA5131F5CA5133F5CA4EBFFE0007F
EBFFC0A2B6FC23397EB81E>I<017FB500C090B512C01A80A2010001C0C7383FF8006E48
EC1FC096C7FC02FF151C92C85A6060EF03C04DC8FC49150E4A5C5F5FEE01C04C5A01034A
C9FC4A130E5E167016F04B7E010713034A487E151FED3BFE1573EDE1FF90380FF9C1DAF7
007F14FE4A6D7E5C4A6D7E131F4A6D7EA2160F83A2013F6E7E5C707EA2707EA2017F6E7F
5C717EA24D7E48486C4913F8B6D8800FEBFFC04C5CA242397DB841>75
D<017FB512F0A3010001C0C8FC6E5AA214FF92C9FCA55B5CA513035CA513075CA5130F5C
A4EF0180011FED03005CA25F1706A2013F150E4A140CA2171C173C1738017F15784A14F8
1601EE07F0161FD801FF14FFB8FC5FA231397DB834>I<90267FFF80923803FFFE816101
00F0FE00027FEE0DFCDA6FE0151B14EF02CFEE33F8A2DAC7F01563A219C7130102879238
0187F0DA83F8EC0307A21806190F90260381FC140C02015F1818A218306E6C151F491660
010604C05BA2037FEB0180A2943803003F130E010C03065CED3F805F5F197F011C6D6C5A
011895C7FC5FA25FDB0FE05C0138ECE180013002E3C75AA216E6ED07F604FC1301137001
604A5C150301F05C00015DD807FCEE07FEB500E0D9C003B512FC150116804F397DB84C>
I<90267FFFC00103B51280A26F1600D9007F9138003FF06FEC0F8072C7FCECEFF802CF15
06ECC7FCA2ECC3FE180E903801C1FF0281150C02807FA26F7E181C01036D7E020015186F
7EA26F7E1838496D7E010616306F7EA26F7E6F1470010E1580010C027F136017C0163F17
E0041F13E0011C15F00118020F5B17F8160717FCEE03FD013815FF01306E5BA282A2177F
137001606FC8FCA201F0811201D807FC81B512E017065C41397DB83E>I<ED0FFC92B57E
913903F80FE091390FC003F8023FC77E027E147ED901F8804948EC1F804948EC0FC04948
15E049481407013F16F049C8FC01FEED03F812014916FC1203491501000717FE485AA212
1F5BA2123F17035B127FA54848ED07FCA4EF0FF8A3EF1FF0127F18E0173F18C0EF7F806C
7EEFFF005F001F15016D4A5A000F5E6C6C4A5A4C5A6C6C4A5A6C6C4AC7FC6C6C147E017F
495A90391F8007F090390FF01FC0902601FFFEC8FC9038003FF0373D77BA41>I<017FB6
12E017FC17FF0100D9C00013C06E48EB1FE0EF0FF002FFEC07F892C7EA03FCA318FEA25B
5CA418FC010315075C18F8EF0FF0A2EF1FE00107ED3FC04AEC7F00EE01FEEE0FF891B612
E094C7FCD90FF8C9FC5CA5131F5CA5133F5CA5137F5CA448487EB67EA337397DB839>I<
017FB6FC17F017FC01009038C003FF913A7F80007FC0EF1FE002FF6E7E92C7FC717EA284
A25B5CA44D5A13034A5D4D5A604D5A4DC7FC0107EC01FE4AEB03F8EE3FE091B6C8FC16FC
9138F8007F010FEC1FC04A6D7E707E83160383131F5CA5013F14075CA5017F17C05CA218
01198048486C1503B6D880031400706C5A92C7130ECAEA3FFCEF07F03A3B7DB83D>82
D<DA03FC133091391FFF8070027FEBE0F0903A01FC03F1E0903903F0007B4948133F4948
131F4948130F49C71207013E15C0017E14035BA3000115014915807FA46D91C7FC7F8014
E06C13FEECFFC06D13FC6D13FF16C06D14F00107801301D9003F7F14039138007FFE1507
15036F7E81A2821218A30038157EA45EA2007C5D1501007E4A5A007F5D6D495A6D495AD8
F9F0013FC7FCD8F0FE13FE90383FFFF8D8E00F13E0D8C00190C8FC2C3D7CBA2E>I<0007
B812FCA3903AF8007FE003D80FC090383FC00049163C000EC7127F001E4B131C121CA212
180038170C003014FF93C7FCA25A1818A2485BC7491400A514035DA514075DA5140F5DA5
141F5DA5143F5DA3147F4A7E0003B612F85AA2363977B83C>I<B6D88007B5FCA2030014
FE000101809038007FE06C90C8EA1F00170E5A49150CA4171C1203491518A41738120749
1530A41770120F491560A417E0121F495DA41601123F495DA3160394C7FCA25E1606160E
001F150C161C5E6C6C14785E6C6C495A00034A5A6D495A6C6C011FC8FC39007F80FC6DB4
5A010F13E0010190C9FC383B74B83E>I E /Fi 25 111 df<0060150600F0150F6C151F
007C153E6C157C6C15F86C6CEB01F06C6CEB03E06C6CEB07C06C6CEB0F806C6CEB1F0001
7C133E6D5B6D5B90380F81F0903807C3E0903803E7C06DB45A6D90C7FC147EA214FF497F
903803E7C0903807C3E090380F81F049C67E013E137C497F497F4848EB0F804848EB07C0
4848EB03E04848EB01F048C812F8003E157C48153E48151F48150F00601506282874A841
>2 D<EB1FF0EB7FFC48B5FC4814804814C04814E04814F04814F8A24814FCA3B612FEA8
6C14FCA36C14F8A26C14F06C14E06C14C06C14806C140038007FFCEB1FF01F207BA42A>
15 D<021FB6128091B712C01303010F1680D93FF0C9FCEB7F8001FECAFCEA01F8EA03E0
485A485A90CBFC5A121E123E123C127C1278A212F85AAA7E1278A2127C123C123E121E12
1F7E7F6C7E6C7EEA01F8EA00FEEB7F80EB3FF0010FB71280010316C01300021F158091CA
FCAE001FB812804817C0A26C1780324479B441>18 D<126012F812FEEA7F80EA3FE0EA0F
F8EA03FEC66C7EEB3FE0EB0FF8EB03FE903800FF80EC3FE0EC0FF8EC03FE913800FF80ED
3FE0ED0FF8ED03FE923800FF80EE3FE0EE0FF8EE03FE933800FF80EF3FC0171FEF7F8093
3801FF00EE07FCEE1FF0EE7FC04B48C7FCED07FCED1FF0ED7FC04A48C8FCEC07FCEC1FF0
EC7FC04948C9FCEB07FCEB1FF0EB7FC04848CAFCEA07FCEA1FF0EA7FC048CBFC12FC1270
CCFCAE007FB81280B912C0A26C1780324479B441>21 D<1478A414F85CA213015C130349
5AA2495A49CCFC5B137E5B485A485AEA0FE0003FBA12FEBCFCA2003F19FED80FE0CCFCEA
03F06C7E6C7E137E7F7F6D7E6D7EA26D7E1301801300A2801478A4482C7BAA53>32
D<181EA4181F84A285180785727EA2727E727E85197E85F11F80F10FC0F107F0007FBA12
FCBCFCA26C19FCCCEA07F0F10FC0F11F80F13F00197E61614E5A4E5AA24E5A61180F96C7
FCA260181EA4482C7BAA53>I<91381FFFFE91B6FC13074914FED93FF0C7FCEB7F8001FC
C8FC485AEA03E0485A485A90C9FC5A121E123E123C127C1278A212F85AA3B712FE16FFA2
16FE00F0C9FCA37E1278A2127C123C123E121E121F7E7F6C7E6C7EEA01F86C7EEB7F80EB
3FF0010FB512FE6D14FF1300021F13FE283279AD37>50 D<EE0180EE03C016071780160F
17005E161E163E163C167C167816F85E15015E15035E15075E150F93C7FC5D151E153E15
3C157C157815F85D14015D14035D14075D140F92C8FC5C143E143C147C147814F85C1301
5C13035C13075C130F91C9FC5B131E133E133C137C137813F85B12015B12035B12075B12
0F90CAFC5A121E123E123C127C127812F85A12602A4E75BB00>54
D<0060161800F0163CA26C167C00781678A2007C16F8003C16F0003E1501001E16E0A200
1F15036C16C0A26D1407000716806D140F00031600A26D5C6CB612FEA36C5D01F8C7127C
01781478A2017C14F8013C5CA2013E1301011E5C011F13036D5CA2EC800701075CA2ECC0
0F010391C7FC6E5A0101131EA2ECF03E0100133CA2ECF87CEC7878EC7CF8EC3CF0A2143F
6E5AA36E5AA26E5AA26EC8FC2E3C80B92F>56 D<007FB612F0B712F8A27EC91278B3A500
3FB612F85AA27EC91278B3A5007FB612F8B7FCA26C15F0253A7CB92E>I<007FB712F8B8
12FCA27ECA123CB217182E177C9D37>I<156015F0A21401903807F1E0EB3FFFEB7C1FEB
F00748486C5AD803C07F4848487ED80F007FA24880001EEB0FBC153C003E143E141F141E
4880A2143E143CA2147C00FC01781380A314F814F0A2130114E0A3130314C0A313071480
A2130F1400A3D87C1F1400131EA2D87E3E5B133C003E143EA2137C1378001F5C13F86C48
137815F800075C0003495AEBE0033901F007802603FC1FC7FCEBFFFEEBC7F001C0C8FC12
075BA26CC9FC21477CBF2A>I<0218EB07FC027890383FFF80D901F890B512C001070103
14E0011FEB0F81903B7BF01C003FF001630178131F010349130FECF1E0902607F3C01307
ECF78002FF15E092C7FC4A15C0A24AEC0F80010F16004A141E5F4A5C17E04948EB03C004
0FC7FC163C9138C001F0ED0FFC903A3F803FFF8092B57E028114F0DA03017F91C7EA3FFC
496E7E1607017E6E7E827013805B177FA2173F485AA31800485A173EA2495D1207495D5F
D80FC34A5A018F4A5A261FBF8049C7FC496C130E02F0137C003E9038FC03F06DB512C048
6C91C8FCD8780713F8D8E00113C0343D7EBA37>66 D<ED03FE92381FFF80037F13C04AB5
FCEC07C091381E003F0238131F5C49481480495A495A49C71300495C013E143E133C017C
5C5B495C12010003EC01E0491480000791C8FC5BA2120F5B121FA290CAFC5AA35A127EA4
12FEA87E160C163C6D14F8127F6D495A5E6C6C495A6D495A6C6C010EC7FC01FE5B390FFF
80F86CEBFFE06C1480C649C8FCEB3FF02A3D7FBA2C>I<0203B512F0027F14FF49B712E0
010716F890271FC3F00713FED978039038007FFF01E0030F13802603C007020313C0D807
80030013E0D80F00167F48EF3FF0003E4AEC1FF8180F5A0070EF07FC00C0010F1503C7FC
5D1801A3141F5DA219F8A24AC8FCA2F003F0A2147E19E0180719C05CF00F8019004A5D01
01163E183C4A5D01035E4D5A4A4A5A01074B5A050EC7FC4A143C010F15704A495AEE0780
011F023EC8FC91380001F849EB3FE091B5128090B500FCC9FC000314E04801FCCAFC3E39
7FB840>I<ED03FE92383FFFC092B512E0020314F0EC0FC091381C001F0278130F4AEB07
E0495A010315C049481480EE0F004948130C93C7FC131FA2133FA380A280806D7E14FE90
380FFFC06D13FE6D5B010013F0EC7FC0D901F8C8FCEB0780010EC9FC5B13785B485A485A
1207485AA248CAFCA25A123E127E1618167800FE4A5AA26C4A5A5E6D495A6D49C7FC6C6C
131C01F85B393FFF03F06CEBFFC06C91C8FC000313FC38007FC02C3D7EBA2C>I<F30FC0
1BFF1A03501380626203031800030F4C5A4B17C04B6C037CC7FC1A7062624B7E19016282
156F1903036793C8FCEDE7F0611906EDC3F8A2190E912601C1FC140C1581191CDB80FE14
181403A2DB007E1438047F1430A25C02066D6C1370196083020E131F020C16E0706C5B14
1C1418933807F00102385E1430EE03F81803027002FC90C9FC02601301A202E06D6C5A4A
1506010115FF4A147F188E0103ED3F8C91C813CCD83007ED1FECD83E0E16FCD87FFE150F
496F5A12FF496F5A495E007FEE01806C4892CBFCEA07C0524582C044>78
D<0203B512F8027FECFF8049B712F001078290271FC3F00313FED978039038003FFF01E0
030713802603C0076E13C0D807801500D80F00167F48EF3FE0003E4A141FA25A0070170F
00C0130FC717C05DA21980181F021F16005D183EA2604AC81278604D5A4D5A027E4A5A05
0EC7FC173C17704AEB03E0EE3F80DB1FFEC8FC9138F87FF80101EBFFC0DAF9FCC9FC02F8
CAFC495AA35C1307A25C130F5CA2131F91CBFC5BA2133E137E137C13785B13C03B3D7FB8
3A>80 D<0203B512FE027FECFFF049B712FC010716FF90271FC3F00080D9780302077F01
E015012603C0076E6C7ED80780163FD80F00161F5A003E4A140FA25A00706000C0130FC7
FC4B5D181F96C7FC181E021F153E4B5C1878604D5A4AC7EA0380050FC8FC173CEE03F802
7EEBFFE0030313804B48C9FC4B7EECFC036F7F6F7F4A137F010181163F4A6D7E1303707E
5C01071407834A01031510010F6F1470F101E04A6D6CEB03C0011F933880078091C8EC0F
00F0C01E4992387FE038013E92383FF0F0017EEEFFE0017C6F138001786F48C7FC01E0ED
07F0443B7FB846>82 D<0060161800F0163CB3B27E0078167C1778007C16F8003C16F000
3E15016CED03E0D80FC0EC0FC0D807F0EC3F80D803FCECFF003A01FFC00FFE6C6CB512F8
011F14E0010714809026007FF8C7FC2E347CB137>91 D<14034A7EA24A7EA24A7EA24A7E
143CEC7CF8EC7878A2ECF87CECF03C0101133EECE01E0103131F4A7EA2010780EC800701
0F80EC00034980011E1301013E80013C1300A2017C800178147801F8147C49143C000115
3E49141EA20003151F498000071680491407000F16C090C812034816E0001E1501A2003E
16F0003C1500007C16F80078167800F8167C48163CA2006016182E347CB137>94
D<0060161800F0163CA26C167C00781678007C16F8003C16F0003E1501001E16E0A2001F
15036C16C06D1407000716806D140F000316006D5C0001151EA26D143E0000153C6D147C
01781478017C14F8013C5CA2013E1301011E5C011F13036D5CEC800701075CECC00F0103
91C7FCA26E5A0101131EECF03E0100133CECF87CEC7878A2EC7CF8EC3CF0143F6E5AA26E
5AA26E5AA26EC8FC2E347CB137>I<EC01F8140FEC3F80ECFC00495A495A495AA2130F5C
B3A7131F5C133F49C7FC13FEEA03F8EA7FE048C8FCEA7FE0EA03F8EA00FE137F6D7E131F
80130FB3A7801307A26D7E6D7E6D7EEC3F80EC0FF814011D537ABD2A>102
D<12FCEAFFC0EA07F0EA01FCEA007E7F80131F80130FB3A7801307806D7E6D7EEB007EEC
1FF0EC07F8EC1FF0EC7E00495A495A495A5C130F5CB3A7131F5C133F91C7FC137E485AEA
07F0EAFFC000FCC8FC1D537ABD2A>I<126012F0A27E1278A2127C123CA2123E121EA212
1F7EA27F1207A27F1203A27F12017F1200A27F1378A2137C133CA2133E131EA2131F7FA2
801307A2801303A2801301A2801300A2801478A2147C143CA2143E141EA2141F80158014
07A215C01403A215E01401A215F01400A215F81578A2157C153CA2153E151EA2150C1F53
7BBD2A>110 D E /Fj 78 124 df<DA0FF813FC91397FFF07FF903B01F807DF83C0903A
07E001FF0F903B1F8007FE1FE090393F000FFC137E16F85B9338F007804848010790C7FC
1503ACB812F8A32801F80003F0C7FCB3AB486C497E267FFFE0B512F0A3333B7FBA30>11
D<EC0FF8EC7FFE903901F80780903907E001C090391F8000E090383F0007017E497EA25B
A2485A6F5AED018092C8FCA9ED03F0B7FCA33901F8000F1503B3AA486C497E267FFFE0B5
12C0A32A3B7FBA2E>I<EC0FFC91387FFF70903901F803F0903807E00790381F800FEB3F
00137EA25B150748481303ADB7FCA33901F80003B3AB486C497E267FFFE0B512C0A32A3B
7FBA2E>I<DA0FF0EB1FF0DA7FFEEBFFFC903B01F80F83F00F903C07E001CFC00380903C
1F8000FF0001C090273F0007FE130F017E4948497EA2495CA248485C03076E5A03030203
C7FC95C8FCA9F007E0BAFCA33C01F80003F0001F1807B3AA486C496C497E267FFFE0B500
C1B51280A3413B7FBA45>I<121C127FEAFF80A8EA7F00AB123EAB121CABC7FCA8121C12
7FEAFF80A5EA7F00121C093C79BB17>33 D<001C131C007F137F39FF80FF80A26D13C0A3
007F137F001C131C00001300A40001130101801380A20003130301001300485B00061306
000E130E485B485B485B006013601A197DB92A>I<121C127FEAFF80A213C0A3127F121C
1200A412011380A2120313005A1206120E5A5A5A12600A1979B917>39
D<146014E0EB01C0EB0380EB0700130E131E5B5BA25B485AA2485AA212075B120F90C7FC
A25A121EA2123EA35AA65AB2127CA67EA3121EA2121F7EA27F12077F1203A26C7EA26C7E
1378A27F7F130E7FEB0380EB01C0EB00E01460135278BD20>I<12C07E12707E7E7E120F
6C7E6C7EA26C7E6C7EA21378A2137C133C133E131EA2131F7FA21480A3EB07C0A6EB03E0
B2EB07C0A6EB0F80A31400A25B131EA2133E133C137C1378A25BA2485A485AA2485A48C7
FC120E5A5A5A5A5A13527CBD20>I<EB0380497EA7397803803C00FC147E00FE14FE397F
8383FC393FC387F8390FE38FE03903FBBF803900FFFE00EB3FF8EB0FE0A2EB3FF8EBFFFE
3903FBBF80390FE38FE0393FC387F8397F8383FC39FE0380FE00FC147E0078143C390007
C000A76D5A1F247BBD2A>I<15301578B3A6007FB812F8B912FCA26C17F8C80078C8FCB3
A6153036367BAF41>I<121C127FEAFF80A213C0A3127F121C1200A412011380A2120313
005A1206120E5A5A5A12600A19798817>I<B512FCA516057F941C>I<121C127FEAFF80A5
EA7F00121C0909798817>I<150C151EA2153E153CA2157C1578A215F815F0A2140115E0
A2140315C0A214071580A2140F15005C141EA2143E143CA2147C1478A214F85CA213015C
A213035CA213075CA2130F91C7FCA25B131EA2133E133CA2137C1378A213F85BA212015B
12035BA212075BA2120F90C8FCA25A121EA2123E123CA2127C1278A212F85AA212601F53
7BBD2A>I<EB03F8EB1FFF90387E0FC09038F803E03901E000F0484813780007147C4848
7FA248C77EA2481580A3007EEC0FC0A600FE15E0B3007E15C0A4007F141F6C1580A36C15
006D5B000F143EA26C6C5B6C6C5B6C6C485A6C6C485A90387E0FC0D91FFFC7FCEB03F823
3A7DB72A>I<EB01C013031307131F13FFB5FCA2131F1200B3B3A8497E007FB512F0A31C
3879B72A>I<EB0FF0EB7FFE48B57E3903E03FE0390F000FF0000E6D7E486D7E486D7E12
3000706D7E126012FCB4EC7F807FA56CC7FC121CC8FCEDFF00A34A5A5D14035D4A5A5D14
0F4A5A4A5A92C7FC147C5C495A495A495A495A91C8FC011EEB01805B5B49130348481400
485A485A000EC75A000FB6FC5A5A485CB6FCA321387CB72A>I<EB07F8EB3FFF4913C039
01F80FF03903C007F848486C7E380E0001000F80381FE0006D7FA56C5A6C5AC85A1401A2
5D4A5AA24A5A5DEC0F80027EC7FCEB1FFCECFF809038000FE06E7EEC01FC816E7EED7F80
A216C0A2153F16E0A2121EEA7F80487EA416C049137F007F1580007EC7FC0070ECFF006C
495A121E390F8003F83907F00FF00001B512C06C6C90C7FCEB0FF8233A7DB72A>I<1538
A2157815F8A2140114031407A2140F141F141B14331473146314C313011483EB03031307
1306130C131C131813301370136013C01201EA038013005A120E120C5A123812305A12E0
B712F8A3C73803F800AB4A7E0103B512F8A325397EB82A>I<0006140CD80780133C9038
F003F890B5FC5D5D158092C7FC14FC38067FE090C9FCABEB07F8EB3FFE9038780F803907
E007E090388003F0496C7E12066E7EC87EA28181A21680A4123E127F487EA490C7130048
5C12E000605C12700030495A00385C6C1303001E495A6C6C485A3907E03F800001B5C7FC
38007FFCEB1FE0213A7CB72A>I<EC3FC0903801FFF0010713FC90380FE03E90383F8007
90387E001F49EB3F804848137F485AA2485A000FEC3F0049131E001F91C7FCA2485AA312
7F90C9FCEB01FC903807FF8039FF1E07E090383801F0496C7E01607F01E0137E497FA249
148016C0151FA290C713E0A57EA56C7E16C0A2121FED3F807F000F15006C6C5B15FE6C6C
5B6C6C485A3900FE07F090383FFFC06D90C7FCEB03FC233A7DB72A>I<12301238123E00
3FB612E0A316C05A168016000070C712060060140E5D151800E01438485C5D5DC712014A
5A92C7FC5C140E140C141C5CA25CA214F0495AA21303A25C1307A2130FA3495AA3133FA5
137FA96DC8FC131E233B7BB82A>I<EB03F8EB1FFF017F13C09038FC07F03901E001F848
486C7E4848137C90C77E48141E000E141F001E80A3121FA27F5D01E0131E6C6C133E01FC
133C6D5B6C6C6C5AECC1E06CEBF3C06C01FFC7FC6C5BEB3FFF6D13C081017F13F801F07F
3903E07FFE3907801FFF48486C1380481303003E6D13C0003CEB007F007C143F0078EC0F
E000F814075A1503A21501A36C15C012781503007C15806CEC07006C5C6C6C131ED807E0
137C3903F803F0C6B55A013F1380D907FCC7FC233A7DB72A>I<EB03F8EB1FFF017F13C0
9038FC07E03903F803F048486C7E48486C7E49137E121F48487FA2007F158090C7FCA248
EC1FC0A616E0A56C143FA27F123F001F147FA26C6C13FF6C6C13DF000313013901F0039F
3900FC0F1FD93FFC13C0EB07F090C7FC153F1680A316005D000F147E487E486C5BA24A5A
4A5A49485A6C48485A001C495A260F807FC7FC3807FFFC000113F038003FC0233A7DB72A
>I<121C127FEAFF80A5EA7F00121CC7FCB2121C127FEAFF80A5EA7F00121C092479A317>
I<121C127FEAFF80A5EA7F00121CC7FCB2121C127F5A1380A4127F121D1201A412031300
A25A1206A2120E5A121812385A1260093479A317>I<007FB812F8B912FCA26C17F8CCFC
AE007FB812F8B912FCA26C17F836167B9F41>61 D<1538A3157CA315FEA34A7EA34A6C7E
A202077FEC063FA2020E7FEC0C1FA2021C7FEC180FA202387FEC3007A202707FEC6003A2
02C07F1501A2D901807F81A249C77F167FA20106810107B6FCA24981010CC7121FA2496E
7EA3496E7EA3496E7EA213E0707E1201486C81D80FFC02071380B56C90B512FEA3373C7D
BB3E>65 D<B712E016FC16FF0001903980007FC06C90C7EA1FE0707E707E707EA2707EA2
83A75F16035F4C5A4C5A4C5A4C5AEEFF8091B500FCC7FCA291C7EA7F80EE1FE0EE07F070
7E707E83707EA21880177F18C0A7188017FFA24C13005F16034C5AEE1FF8486DEB7FF0B8
12C094C7FC16F832397DB83B>I<913A01FF800180020FEBE003027F13F8903A01FF807E
07903A03FC000F0FD90FF0EB039F4948EB01DFD93F80EB00FF49C8127F01FE153F120148
48151F4848150FA248481507A2485A1703123F5B007F1601A35B00FF93C7FCAD127F6DED
0180A3123F7F001F160318006C7E5F6C7E17066C6C150E6C6C5D00001618017F15386D6C
5CD91FE05C6D6CEB03C0D903FCEB0F80902701FF803FC7FC9039007FFFFC020F13F00201
1380313D7BBA3C>I<B712C016F816FE000190398001FF806C90C7EA3FE0EE0FF0EE03F8
707E707E177FA2EF3F8018C0171F18E0170F18F0A3EF07F8A418FCAC18F8A4EF0FF0A218
E0A2171F18C0EF3F80A2EF7F0017FE4C5A4C5AEE0FF0EE3FE0486DEBFF80B8C7FC16F816
C036397DB83F>I<B812FCA30001903880000F6C90C71201EE007E173E171E170EA31706
A317078316C0A394C7FCA31501A21503150F91B5FCA3EC000F15031501A21500A21860A3
18E093C712C0A41701A3EF0380A21707A2170F173F177F486D903807FF00B9FCA333397D
B839>I<B812F8A30001903880001F6C90C71201EE00FC177C173C171CA2170CA4170E17
06A2ED0180A21700A41503A21507151F91B5FCA3EC001F15071503A21501A692C8FCAD48
13C0B612C0A32F397DB836>I<B648B512FEA30001902680000313006C90C76C5AB3A491
B6FCA391C71201B3A6486D497EB648B512FEA337397DB83E>72 D<B612C0A3C6EBC0006D
5AB3B3AD497EB612C0A31A397EB81E>I<013FB512E0A39039001FFC00EC07F8B3B3A312
3FEA7F80EAFFC0A44A5A1380D87F005B0070131F6C5C6C495A6C49C7FC380781FC3801FF
F038007F80233B7DB82B>I<B612E0A3000101C0C8FC6C90C9FCB3AD1718A517381730A3
1770A317F0A216011603160FEE1FE0486D13FFB8FCA32D397DB834>76
D<B5933807FFF86E5DA20001F0FC002600DFC0ED1BF8A2D9CFE01533A3D9C7F01563A3D9
C3F815C3A2D9C1FCEC0183A3D9C0FEEC0303A2027F1406A36E6C130CA36E6C1318A26E6C
1330A36E6C1360A26E6C13C0A3913901FC0180A3913900FE0300A2ED7F06A3ED3F8CA2ED
1FD8A3ED0FF0A3486C6D5A487ED80FFC6D48497EB500C00203B512F8A2ED018045397DB8
4C>I<B5913807FFFE8080C69238007FE06EEC1F80D9DFF0EC0F001706EBCFF8EBC7FCA2
EBC3FEEBC1FFA201C07F6E7EA26E7E6E7E81140F6E7E8114036E7E168080ED7FC016E015
3FED1FF0ED0FF8A2ED07FCED03FEA2ED01FF6F1386A2EE7FC6EE3FE6A2EE1FF6EE0FFEA2
16071603A216011600A2177E486C153E487ED80FFC151EB500C0140EA2170637397DB83E
>I<EC03FF021F13E09138FE01FC903901F8007ED907E0EB1F8049486D7ED93F80EB07F0
49C76C7E01FE6E7E48486E7E49157E0003167F4848ED3F80A24848ED1FC0A2001F17E049
150F003F17F0A3007F17F8491507A300FF17FCAC007F17F86D150FA3003F17F0A26C6CED
1FE0A36C6CED3FC0000717806D157F000317006C6C15FEA26C6C4A5A017F4A5A6D6C495A
6D6C495AD907E0EB1F80D903F8017FC7FC903900FE01FC91381FFFE0020390C8FC363D7B
BA41>I<B712C016F816FE000190398001FF806C90C7EA3FC0EE0FE0EE07F0EE03F817FC
17FE1601A217FFA717FEA2EE03FCA2EE07F817F0EE0FE0EE3FC0923801FF0091B512FC16
F091C9FCB3A5487FB6FCA330397DB839>I<B612FEEDFFE016F8000190388007FE6C90C7
6C7EEE3FC0707E707E707EA2707EA283A65FA24C5AA24C5A4C5AEE3F8004FFC8FCED07FC
91B512E05E9138000FF0ED03F8ED00FE82707E707EA2161F83A583A6F00180A217F8160F
1803486D01071400B66D6C5A04011306933800FE0ECAEA3FFCEF07F0393B7DB83D>82
D<D90FF813C090383FFE0190B512813903F807E33907E000F74848137F4848133F48C712
1F003E140F007E1407A2007C140312FC1501A36C1400A37E6D14006C7E7F13F86CB47E6C
13F8ECFF806C14E06C14F86C14FEC680013F1480010714C0EB007F020713E0EC007FED3F
F0151F150FED07F8A200C01403A21501A37EA216F07E15036C15E06C14076C15C06C140F
6DEB1F80D8FBF0EB3F00D8F0FE13FE39E03FFFF8010F13E0D8C00190C7FC253D7CBA2E>
I<003FB812E0A3D9C003EB001F273E0001FE130348EE01F00078160000701770A3006017
30A400E01738481718A4C71600B3B0913807FF80011FB612E0A335397DB83C>I<B69038
07FFFEA3000101809038007FE06C90C8EA1F80EF0F001706B3B2170E6D150C80171C133F
17186D6C14385F6D6C14F06D6C5C6D6C495A6D6CEB07806D6C49C7FC91387F807E91381F
FFF8020713E09138007F80373B7DB83E>I<B500FC91387FFF80A30003018091380FFC00
6C90C8EA07E0715A6C705A6E1403017F93C7FCA280013F1506A26E140E011F150C80010F
5DA28001075DA26E147001031560A26D6C5CA2806D4A5AA2ED8003027F91C8FCA291383F
C006A215E0021F5BA2EDF01C020F1318A26E6C5AA215FC02035BA2EDFEE002015BA26E6C
5AA36FC9FCA3153EA2151CA3393B7EB83E>I<B5D8FC07B5D8F001B5FCA3000790278000
1FFEC7EA1FF86C48C7D80FF8EC07E000010307ED03C01B807F6C6F6C1500A26E5F017F6E
6C1406A280013F4A6C5CA280011F4A6D5BEE067FA26D6C010E6D5BEE0C3FA26D6C011C6D
5BEE181FA26D6C6F5BEE300FA26D6C6F485AEE6007A26D6C4CC7FC9338C003FCA203805D
913B7F818001FE06A203C1150EDA3FC3C7EAFF0CA203E3151CDA1FE6EC7F98A215F6DA0F
FCEC3FF0A302075E4B141FA202035E4B140FA202015E4B1407A2020093C8FC4B80503B7E
B855>I<B500FE91383FFFE0A3000301E0913807FE00C649EC03F0017F6F5A606D6C5D6D
6C140395C7FC6D6C1406A26D6C5C6D6C141C17186D6C143817306D6D5B6E6C13E05F9138
3FE0015F91381FF003DA0FF890C8FC1606913807FC0E160C913803FE1C913801FF185E6E
13B016E0157F6F5AB3A24B7E023FB512C0A33B397FB83E>89 D<EAFFF8A4EAF000B3B3B3
B3A3EAFFF8A40D5378BD17>91 D<3901800180000313033907000700000E130E485B0018
131800381338003013300070137000601360A200E013E0485BA400CE13CE39FF80FF806D
13C0A3007F137FA2393F803F80390E000E001A1974B92A>I<EAFFF8A4EA0078B3B3B3B3
A3EAFFF8A40D537FBD17>I<EB1FE0EBFFFC3803E03F3907000F80390F8007E0486C6C7E
13E06E7EA26E7E6C5A6C5AC8FCA4147FEB07FFEB3FE0EBFE00EA03F8EA0FF0EA1FC0123F
485A90C7FC160C12FEA31401A26C13036CEB077C903980063E18383FC01E3A0FE0781FF0
3A03FFF00FE03A007F8007C026277DA52A>97 D<EA03F012FFA3120F1203B0EC1FE0EC7F
F89038F1E03E9039F3801F809039F7000FC001FEEB07E049EB03F049EB01F85BED00FCA2
16FEA2167E167FAA167E16FEA216FC15016D14F8ED03F07F01EEEB07E001C6EB0FC09039
C7801F00903881E07E903800FFF8C7EA1FC0283B7EB92E>I<EB03FC90381FFF8090387E
03E03901F80070484813F83907E001FC380FC003A2EA1F80123F90380001F848EB00F015
00A2127E12FEAA127E127FA26C14067F001F140E6D130C000F141C6C6C13386C6C13706C
6C13E039007C07C090381FFF00EB07F81F277DA525>I<ED0FC0EC03FFA3EC003F150FB0
EB03F8EB1FFF90387E078F9038F801EF3903F0007F4848133F4848131FA24848130F123F
90C7FC5AA2127E12FEAA127E127FA27EA26C6C131FA26C6C133F6C6C137F6C6CEBEFF03A
01F801CFFF39007C078F90381FFE0FD907F813C0283B7DB92E>I<EB07F8EB1FFF90387C
0FC03901F803E03903F001F0D807E013F8380FC0004848137CA248C7127E153E5A153F12
7E12FEA3B7FCA248C8FCA5127EA2127FA26C14037F001F14076C6C13060007140E6D131C
D801F013386C6C137090387E03E090381FFF80903803FC0020277EA525>I<147E903803
FF8090380FC1E0EB1F8790383F0FF0137EA213FCA23901F803C091C7FCADB512FCA3D801
F8C7FCB3AB487E387FFFF8A31C3B7FBA19>I<ED03F090390FF00FF890393FFC3C3C9039
F81F707C3901F00FE03903E007C03A07C003E010000FECF000A248486C7EA86C6C485AA2
00075C6C6C485A6D485A6D48C7FC38073FFC38060FF0000EC9FCA4120FA213C06CB512C0
15F86C14FE6CECFF804815C03A0F80007FE048C7EA0FF0003E140348140116F8481400A5
6C1401007C15F06CEC03E0003F1407D80F80EB0F80D807E0EB3F003901FC01FC39007FFF
F0010790C7FC26387EA52A>I<EA03F012FFA3120F1203B0EC0FF0EC3FFCECF03F9039F1
C01F809039F3800FC0EBF70013FE496D7EA25BA35BB3A3486C497EB500C1B51280A3293A
7EB92E>I<EA0380EA0FE0487EA56C5AEA0380C8FCAAEA03F012FFA312071203B3AA487E
B512C0A312387EB717>I<EB01C0EB07F0EB0FF8A5EB07F0EB01C090C7FCAAEB01F813FF
A313071301B3B3A2123C127E00FF13F01303A214E038FE07C0127C383C0F00EA0FFEEA03
F8154984B719>I<EA03F012FFA3120F1203B1913801FFFCA39138007FC01600157C1570
5D4A5A4A5A4AC7FC141E1438147814FC13F1EBF3FEEBF73F01FE7FEBF81F496C7E811407
6E7E6E7E811400157E157F811680ED1FC0486CEB3FF0B500C0B5FCA3283A7EB92C>I<EA
03F012FFA3120F1203B3B3AD487EB512C0A3123A7EB917>I<2703F00FF0EB1FE000FFD9
3FFCEB7FF8913AF03F01E07E903BF1C01F83803F3D0FF3800FC7001F802603F70013CE01
FE14DC49D907F8EB0FC0A2495CA3495CB3A3486C496CEB1FE0B500C1B50083B5FCA34025
7EA445>I<3903F00FF000FFEB3FFCECF03F9039F1C01F803A0FF3800FC03803F70013FE
496D7EA25BA35BB3A3486C497EB500C1B51280A329257EA42E>I<EB03FE90380FFF8090
383E03E09038F800F84848137C48487F48487F4848EB0F80001F15C090C712074815E0A2
007EEC03F0A400FE15F8A9007E15F0A2007F14076C15E0A26C6CEB0FC0000F15806D131F
6C6CEB3F006C6C137EC66C13F890387E03F090381FFFC0D903FEC7FC25277EA52A>I<39
03F01FE000FFEB7FF89038F1E07E9039F3801F803A07F7000FC0D803FEEB07E049EB03F0
4914F849130116FC150016FEA3167FAA16FEA3ED01FCA26DEB03F816F06D13076DEB0FE0
01F614C09039F7803F009038F1E07E9038F0FFF8EC1FC091C8FCAB487EB512C0A328357E
A42E>I<D903F813C090381FFE0190387E07819038FC01C33903F000E300071477484813
3749133F001F141F485A150F48C7FCA312FEAA127FA37E6D131F121F6D133F120F6C6C13
7F6C6C13EF3901F801CF39007E078F90381FFE0FEB07F890C7FCABED1FE00203B5FCA328
357DA42C>I<3807E01F00FFEB7FC09038E1E3E09038E387F0380FE707EA03E613EE9038
EC03E09038FC0080491300A45BB3A2487EB512F0A31C257EA421>I<EBFF03000313E738
0F80FF381E003F487F487F00707F12F0A2807EA27EB490C7FCEA7FE013FF6C13E06C13F8
6C7F00037FC67F01071380EB007F141F00C0EB0FC01407A26C1303A37E15806C13077EEC
0F00B4131E38F3C07C38E1FFF038C03F801A277DA521>I<1318A51338A31378A313F812
0112031207001FB5FCB6FCA2D801F8C7FCB215C0A93800FC011580EB7C03017E13006D5A
EB0FFEEB01F81A347FB220>I<D803F0EB07E000FFEB01FFA3000FEB001F00031407B3A4
150FA3151F12016D133F0000EC77F86D9038E7FF8090383F03C790381FFF87903A03FC07
E00029267EA42E>I<B538803FFEA33A0FF8000FF06C48EB07E00003EC03C06D14800001
1500A26C6C1306A26D130E017E130CA26D5BA2EC8038011F1330A26D6C5AA214E001075B
A2903803F180A3D901FBC7FCA214FF6D5AA2147CA31438A227257EA32C>I<B53A1FFFE0
3FFEA3260FF8009038000FF86C48017EEB03E018C00003023EEB0180A26C6C013FEB0300
A36C6CEC8006156FA2017E9038EFC00C15C7A2D93F016D5A15830281EBF038D91F831430
150102C3EBF87090260FC6001360A2D907E66D5A02EC137CA2D903FCEB7F804A133FA201
0192C7FC4A7FA20100141E4A130E0260130C37257EA33C>I<B538807FFFA33A03FE003F
F00001EC1F80000092C7FC017E131C6D13186D6C5AECC070010F5B6D6C5AECF180EB03FB
6DB4C8FC6D5AA2147F804A7E8114CF903801C7E090380383F090380703F8EB0601496C7E
011C137E49137F01787F496D7E486C80000FEC3FF0D8FFFE90B51280A329247FA32C>I<
B538803FFEA33A0FF8000FF06C48EB07C00003EC03806C7E16007F00001406A2017E5BA2
137F6D5BA26D6C5AA2ECC070010F1360A26D6C5AA214F101035BA2D901FBC7FCA214FF6D
5AA2147CA31438A21430A214701460A25CA2EA7C0100FE5B130391C8FC1306EAFC0EEA70
1C6C5AEA1FF0EA0FC027357EA32C>I<B81280A2290280962A>123
D E /Fk 34 118 df<EEFFFC031FEBFF804AB612E0020781021F9038C00FF8913A7FFE00
03FCDAFFF0EB00FE4949EB03FF4901805B4990C7487F49485CA2495A4D7F013F6F5B5CA3
7190C7FC715AEF01F894C9FCA90403B512C0BAFCA526003FFCC7120783B3B3A6003FB5D8
FC03B612C0A542547DD34B>12 D<157815FC14031407141F14FF130F0007B5FCB6FCA214
7F13F0EAF800C7FCB3B3B3A6007FB712FEA52F4E76CD43>49 D<EC3FFE0103B512E0010F
14FC013F14FF90B712C048D9C07F7F2703FE000F13F8D807F801037FD80FE06D7F48486D
7F48488001F01680486C6E13C07F486C6E13E07FA27013F0A56C5AA26C5AEA0FF0EA03C0
C914E05EA218C05E1880A24C13005F4C5A4B5B5F4B5B5F4B5B4B90C7FC4B5A5E4B5AED7F
E04B5A4A5B4A48C8FC4A5A5D4A48EB01F04A5AEC3F804AC7FC02FEEC03E0495A495A495A
495AD91F80140749C8FC013E150F017FB7FC90B812C05A5A5A5A5A5A5AB9FC1880A4344E
79CD43>I<91380FFFC091B512FC0107ECFF80011F15E090263FF8077F9026FF800113FC
4848C76C7ED803F86E7E491680D807FC8048B416C080486D15E0A4805CA36C17C06C5B6C
90C75AD801FC1680C9FC4C13005FA24C5A4B5B4B5B4B13C04B5BDBFFFEC7FC91B512F816
E016FCEEFF80DA000713E0030113F89238007FFE707E7013807013C018E07013F0A218F8
A27013FCA218FEA2EA03E0EA0FF8487E487E487EB57EA318FCA25E18F891C7FC6C17F049
5C6C4816E001F04A13C06C484A1380D80FF84A13006CB44A5A6CD9F0075BC690B612F06D
5D011F1580010302FCC7FCD9001F1380374F7ACD43>I<177C17FE1601A216031607160F
A2161F163F167F16FFA25D5D5DA2ED0FBF151FED3F3F157E157C15F81401EC03F0EC07E0
15C0140FEC1F80EC3F00143E5C14FC495A495A5C495A130F495A91C7FC133E137E5B485A
5B485A1207485A5B48C8FC5A127E5ABA12C0A5C96C48C7FCAF020FB712C0A53A4E7CCD43
>I<D80380150ED807E0157E01FEEC03FED9FFF0137F91B65A5F5F5F5F5F94C7FC5E5E16
F016C093C8FC15F801E190C9FC01E0CAFCABEC0FFF027F13F001E3B512FE01E76E7E9026
FFF8077FDAC0017F49C713F8496E7E01F0143F4981496E7E6C481680C9FC18C08218E0A4
18F0A3EA0FE0487E487E487E487EA418E0A35B6C484A13C05B491680003EC85A003F1700
6C6C4A5A6D5D6C6C4A5AD807F8495BD803FE01075B2701FFC03F5B6C90B65A013F4AC7FC
6D14F8010314C09026007FF8C8FC344F79CD43>I<ED0FFF92B512E0020780021F14FC91
397FFE03FE903A01FFF0007F4901C0EB3F804990C7121F4948EC7FC0494814FF49484913
E049485B01FF5C485BA2485B5AA2486F13C04A6D1380486F1300177E94C7FC5AA291CAFC
5AA21508913801FFF8020713FFB54814C04A14F04AC66C7E023C6D7E4A6D7E4A6D7E7013
804A15C0A24A15E07013F05C18F8A491C714FCA37EA67EA46C17F880A27E18F06C5D18E0
6C6D15C07E6E4913806C6D15006D6C495A6D6CEB7FFC6DB448485A6D90B55A010315C001
0092C7FC023F13FC020713C0364F7ACD43>I<171F4D7E4D7EA24D7EA34C7FA24C7FA34C
7FA24C7FA34C7FA24C80A283047F80EE7E3F04FE8016FC830301814C7E03038116F08303
07814C7E030F8116C083031F814C7E033F8293C7FC844B82037E8003FE825D840201834B
800203835D840207834B80020F8392B8FCA24A83A24A8492C9FC854A84027E8202FE845C
850101854A820103855C850107854A82010F855C011F83D9FFFC84B600F8020FB712E0A5
5B537BD266>65 D<932601FFFCEC01C0047FD9FFC013030307B600F81307033F03FE131F
92B8EA803F0203DAE003EBC07F020F01FCC7383FF0FF023F01E0EC0FF94A01800203B5FC
494848C9FC4901F8824949824949824949824949824990CA7E494883A2484983485B1B7F
485B481A3FA24849181FA3485B1B0FA25AA298C7FC5CA2B5FCAE7EA280A2F307C07EA36C
7FA21B0F6C6D1980A26C1A1F6C7F1C006C6D606C6D187EA26D6C606D6D4C5A6D6D16036D
6D4C5A6D6D4C5A6D01FC4C5A6D6DEE7F806D6C6C6C4BC7FC6E01E0EC07FE020F01FEEC1F
F80203903AFFE001FFF0020091B612C0033F93C8FC030715FCDB007F14E0040101FCC9FC
525479D261>67 D<BA7E19FCF1FF801AF01AFCD8000701F0C7000F13FF060014C0071F7F
070713F807017F737F747E747F747F86747F747F8886888688A2757EA31D8087A21DC0A5
1DE0A387A963A31DC0A51D80A2631D00A3515AA2646264505B6264505B505B5090C7FCF2
FFFE4F5B07075B071F5B96B512C0060F91C8FCBB5A1AF01AC007FCC9FC19805B527CD167
>I<BC1280A5D8000701F8C7000114C0F0001F19071901851A7F1A3F1A1FA2F20FE0A21A
07A31A03A318F81BF01A01A497C7FC1701A317031707170F177F92B6FCA59238F8007F17
0F170717031701A317001B3EA31B7CA395C8FCA21BFCA21BF8A21A01A31A031BF01A071A
0FA21A1F1A3FF27FE0F101FF1907191F0603B5FCBCFCA21BC0A34F517CD058>I<BB12FE
A5D8000701F8C700077FF0007F191F190785858586861B80A21A1FA31A0FA41BC006F813
07A497C7FCA31701A317031707170F177F92B6FCA59238F8007F170F170717031701A317
00A795C9FCB3B812F8A54A517CD055>I<B812C0A5D8000701F8C7FCB3B3B3B2B812C0A5
2A527CD132>73 D<B812F8A5D8000701F8CAFCB3B3A91A7CA41AFC1AF8A51901A31903A2
19071AF0190FA2191F193F197F19FF180360183F4DB5FCBB12E0A546527CD151>76
D<BAFC19F819FF1AE086D8000701F0C7001F13FC060113FF726C13807313C0070F13E01B
F0857313F81BFCA27313FEA41BFFA81BFEA31BFC61A21BF84F13F04F13E0614F13C04F13
004E485A061F5B92B812F01AC04FC7FC19E003F8CBFCB3AEB812C0A550527CD15C>80
D<B912F0F0FF8019F819FF1AC0D8000701F0C714F0060F7F060113FE727F737F737F8573
7F87A2737FA387A863A2616363A24F5B4F5B4F90C8FC4F5A06035B060F13F095B512C092
B8C9FC19F819E019F89226F0000313FE9439007FFF80061F7F727F727F86727F8486A272
7FA887A71D1C1D3E8785A275137E73157C7315FC736D13F8B86C6DEBF801739038FE07F0
7390B512E0736C14C0080F1400CEEA7FFC5F537CD164>82 D<EC7FFF0107B512F0013F14
FE90B77E48D9E00F7F2703FE000113F0486C6D7F6EEB3FFC48826E131F83707FA36C496D
7FA26C90C7FC6C5AC9FCA6037FB5FC020FB6FC91B7FC01071487013FEBF0074913803901
FFFC004813F0485B485B485B4890C7FC5A5BA2485AA45EA26D5C007F151D163D6C6C0279
7F6C6D01F113F86C9026C003E0EBFFE06C9027F81FC07F13F06C90B5487EC64B7E011F01
FC010713E0010101E090C8FC3C387CB641>97 D<EB3FF0B5FCA51203C6FCB3A4923801FF
E0030F13FE033FEBFFC092B612F002F301017F913AF7F8003FFEDAFFE0EB0FFF03806D7F
92C76C7F4A6E7F4A824A6E7FA2727EA285A28584A31A80AC1A00A44E5AA36118FF616E4A
5BA26E4A5B6E4A5B6F495BDACFC04990C7FCDA87F0EB7FFC913A03FE03FFF849C6B612E0
496D148049011F01FCC8FC90C7000313C041547BD24B>I<913801FFF8021FEBFF8091B6
12F0010315FC010F9038C00FFE903A1FFE0001FFD97FFC491380D9FFF05B4817C048495B
5C5A485BA2486F138091C7FC486F1300705A4892C8FC5BA312FFAD127F7FA27EA2EF03E0
6C7F17076C6D15C07E6E140F6CEE1F806C6DEC3F006C6D147ED97FFE5C6D6CEB03F8010F
9038E01FF0010390B55A01001580023F49C7FC020113E033387CB63C>I<4DB47E0407B5
FCA5EE001F1707B3A4913801FFE0021F13FC91B6FC010315C7010F9038E03FE749903800
07F7D97FFC0101B5FC49487F4849143F484980485B83485B5A91C8FC5AA3485AA412FFAC
127FA36C7EA37EA26C7F5F6C6D5C7E6C6D5C6C6D49B5FC6D6C4914E0D93FFED90FEFEBFF
80903A0FFFC07FCF6D90B5128F0101ECFE0FD9003F13F8020301C049C7FC41547CD24B>
I<913803FFC0023F13FC49B6FC010715C04901817F903A3FFC007FF04948EB1FF8D9FFE0
6D7E488248496D7E48814A15805A4890C76C13C0A24817E0A282485A18F0A312FFA390B8
FCA318E049CAFCA5127FA46C7EA26C17E0EF01F06C7F17036C17E06C6D14076C6DEC0FC0
6CEE1F806D6CEC3F00D93FFC14FE6D6CEB03FC903A0FFFC03FF8010390B55A010015C002
1F49C7FC020113F034387CB63D>I<ED3FFC0203B5FC020F14C0023F14E09139FFF81FF0
499038C03FF849EB807F49903800FFFC495A495AA2495AA2EE7FF8495AEE3FF0EE0FC093
C7FCAEB712E0A526007FF8C8FCB3B3A7007FB512FEA52E547CD329>I<DA3FFF14FF0103
B5D8F00713C0010FDAFC1F13E0013FECFF7F90267FFC0F9038FF9FF09026FFE001EBF83F
48496C13E0484990387FF01F4890C7D83FF813E0489338FC0FC0F0078048486E6CC7FCA2
003F82A9001F5EA26C6C4A5AA26C5E6C6D495A6C6D495A6C6D485BDAFC0F5B4890B6C8FC
D803EF14FC01C314F02607C03F90C9FC91CBFCA2120FA37FA213F813FE90B7FC6C16F817
FF18C06C836C836C836D828448B9FC12074848C700031480D81FF8EC003F484815074848
6F13C083485A83A56D5D007F18806D5D003F18006C6C4B5AD80FFEED1FFC6C6C6CEC7FF8
6C01E049485A6C01FE011F5B6C6CB71280010F03FCC7FC010115E0D9000F01FCC8FC3C4F
7CB543>I<EB3FF0B5FCA51203C6FCB3A4EE1FFC93B512C0030314F0030F8092391FE07F
FC92393F001FFE037C8003F07FDAF1E081ECF3C0DAF7807F8502FFC7FC5CA25CA45CB3AC
B6D8F807B612C0A542537BD24B>I<137F497E487F487F487F487FA76C5B6C5B6C5B6C5B
6DC7FC90C8FCADEB3FF0B5FCA512017EB3B3A6B612E0A51B547BD325>I<EB3FF0B5FCA5
1203C6FCB3A54CB512F8A59339003FFE00EF1FE04D5A4D5A4DC7FCEE01FCEE07F84C5A4C
5AEE3F8004FFC8FC4B5A4B5AED07F0ED1FE0153F4B7E4B7E02F37F02F77F91B5FC82039F
7F030F7F4A7EDAF8037F02F0806F7F6F7F167F707E83707F707F8284707F707F82717E84
717E1980B6D8F003B6FCA540537CD247>107 D<EB3FF0B5FCA512017EB3B3B3B1B612F0
A51C537BD225>I<D93FF0D91FFCEDFFE0B591B500C0010713FE030302F0011F6D7E030F
6E017F8092271FE07FFCD9FF037F922A3F001FFE01F8007F0003027C9126FF03E080C602
F06DD90780137FDAF1E0038FC77FDAF3C0159EDAF7806D01BC143F07FC8102FFC75C4A5E
A24A5EA44A5EB3ACB6D8F807B6D8C03FB512FEA567367BB570>I<D93FF0EB1FFCB591B5
12C0030314F0030F8092391FE07FFC92393F001FFE0003027C80C602F07FDAF1E081ECF3
C0DAF7807F8502FFC7FC5CA25CA45CB3ACB6D8F807B612C0A542367BB54B>I<913801FF
E0021F13FE91B612C0010315F0010F9038807FFC903A1FFC000FFED97FF86D6C7E49486D
7F48496D7F48496D7F4A147F48834890C86C7EA24883A248486F7EA3007F1880A400FF18
C0AC007F1880A3003F18006D5DA26C5FA26C5F6E147F6C5F6C6D4A5A6C6D495B6C6D495B
6D6C495BD93FFE011F90C7FC903A0FFF807FFC6D90B55A010015C0023F91C8FC020113E0
3A387CB643>I<90397FE003FEB590380FFF80033F13E04B13F09238FE1FF89139E1F83F
FC0003D9E3E013FEC6ECC07FECE78014EF150014EE02FEEB3FFC5CEE1FF8EE0FF04A90C7
FCA55CB3AAB612FCA52F367CB537>114 D<903903FFF00F013FEBFE1F90B7FC120348EB
003FD80FF81307D81FE0130148487F4980127F90C87EA24881A27FA27F01F091C7FC13FC
EBFFC06C13FF15F86C14FF16C06C15F06C816C816C81C681013F1580010F15C013000207
14E0EC003F030713F015010078EC007F00F8153F161F7E160FA27E17E07E6D141F17C07F
6DEC3F8001F8EC7F0001FEEB01FE9039FFC00FFC6DB55AD8FC1F14E0D8F807148048C601
F8C7FC2C387CB635>I<143EA6147EA414FEA21301A313031307A2130F131F133F13FF5A
000F90B6FCB8FCA426003FFEC8FCB3A9EE07C0AB011FEC0F8080A26DEC1F0015806DEBC0
3E6DEBF0FC6DEBFFF86D6C5B021F5B020313802A4D7ECB34>I<D93FF8913801FFC0B502
07B5FCA50003ED001FC61607B3AE5FA35FA2017F5D173B177B6D6C14F3DC01E313F06D6C
D907C3EBFFC0903A0FFFC03F836D90B51203010114FE6D6C13F8020701E091C7FC42377B
B54B>I E /Fl 29 122 df<DA1FE013FF9126FFFC0713E0903B03F01E1F80F0903B0FC0
077E003CD91F805B90273F001FF8137E017E4A13FE495CA248485C030F147C95C7FCA918
7EB912FEA33B01F8000FC000187EB3A6486C496C13FF297FFFC1FFFE0F13F8A33D357FB4
40>14 D<14C01301EB0380EB0F00130E5B133C5B5BA2485A485AA212075B120F90C7FC5A
A2121E123EA3123C127CA55AB0127CA5123C123EA3121E121FA27E7F12077F1203A26C7E
6C7EA213787F131C7F130FEB0380EB01C01300124A79B71E>40 D<12C07E1270123C121C
7E120F6C7E6C7EA26C7E6C7EA27F1378137C133C133EA2131E131FA37F1480A5EB07C0B0
EB0F80A514005BA3131E133EA2133C137C137813F85BA2485A485AA2485A48C7FC120E5A
123C12705A5A124A7CB71E>I<B512F0A514057F921A>45 D<123C127E12FFA4127E123C
08087A8715>I<007FB712FEA390398007F001D87C00EC003E0078161E0070160EA20060
160600E01607A3481603A6C71500B3AB4A7E011FB512FCA330337DB237>84
D<EB7F803803FFF0380F80FC381C003E003F133F6D6C7E6E7EA26E7EEA1F00C7FCA4EB01
FF131FEBFF873803FC07EA0FF0EA1FC0EA3F80127F13004815C05AA3140FA26C131F6C13
3B3A3F8071F180391FC1E1FF2607FFC013003900FE003C22237DA126>97
D<EA03F012FFA312071203AEEC3F80ECFFE09038F3C0F89038F7007E01FE7F49EB1F8049
EB0FC05BED07E016F0A2150316F8AA16F0150716E0A2ED0FC07F6DEB1F8001ECEB3F0001
CF137C90388381F8903801FFE0C76CC7FC25357EB32B>I<EB07F8EB3FFF9038FC07C039
01F000E03903E003F03807C007120FEA1F80123F90380003E04890C7FCA2127E12FEAA12
7FA26C14187F001F14386D1330000F14706C6C13E03903F001C03900FC0F8090383FFE00
EB07F01D237EA122>I<153FEC0FFFA3EC007F81AEEB07F0EB3FFCEBFC0F3901F003BF39
07E001FF48487E48487F8148C7FCA25A127E12FEAA127E127FA27E6C6C5BA26C6C5B6C6C
4813803A03F007BFFC3900F81E3FEB3FFCD90FE0130026357DB32B>I<EB0FE0EB7FFCEB
F83F3903F00F80D807E013C0390FC007E0381F800315F0EA3F0014014814F8127EA212FE
A2B6FCA248C8FCA5127E127FA26C1418A26C6C1338000F14306D13706C6C13E03901F003
C03900FC0F00EB3FFEEB07F01D237EA122>I<EB01FCEB07FF90381F078090383E0FC0EB
7C1F13FCEA01F8A20003EB070049C7FCACB512F0A3D803F0C7FCB3A7487E387FFFE0A31A
357FB417>I<90381FC01F9039FFF87FC03901F07DE73907E03F83260FC01F1380903980
0F8000001F80EB00074880A66C5CEB800F000F5CEBC01F6C6C48C7FCEBF07C380EFFF838
0C1FC0001CC9FCA3121EA2121F380FFFFEECFFC06C14F06C14FC4880381F0001003EEB00
7F4880ED1F8048140FA56C141F007C15006C143E6C5C390FC001F83903F007E0C6B51280
D91FFCC7FC22327EA026>I<EA03F012FFA312071203AEEC1FC0EC7FF09038F1E0FC9038
F3807C9038F7007E13FE497FA25BA25BB3486CEB7F80B538C7FFFCA326347EB32B>I<EA
0780EA0FC0EA1FE0A4EA0FC0EA0780C7FCAAEA07E012FFA3120F1207B3A6EA0FF0B5FCA3
10337EB215>I<EA03F012FFA312071203AF913803FFE0A36E1300EC00F8EC01E05D4A5A
020FC7FC141C5C5C14F0EBF3F8EBF7FC13FEEBFC7EEBF87F496C7E141F6E7E8114076E7E
8114016E7E81486CEBFF80B500C313F0A324347EB329>107 D<EA07E012FFA3120F1207
B3B3A7EA0FF0B5FCA310347EB315>I<2703F01FE013FF00FF90267FF80313C0903BF1E0
7C0F03E0903BF3803E1C01F02807F7003F387FD803FE1470496D486C7EA2495CA2495CB3
486C496C487EB53BC7FFFE3FFFF0A33C217EA041>I<3903F01FC000FFEB7FF09038F1E0
FC9038F3807C3907F7007EEA03FE497FA25BA25BB3486CEB7F80B538C7FFFCA326217EA0
2B>I<EB07F0EB3FFE9038FC1F803901F007C03903C001E000078048486C7E48C7127CA2
48147E003E143E007E143FA300FE1580A8007E1500A36C147EA26C147C6D13FC6C6C485A
00075C3903F007E03900FC1F80D93FFEC7FCEB07F021237EA126>I<3903F03F8000FFEB
FFE09038F3C0F89038F7007ED807FE7F6C48EB1F804914C049130F16E0ED07F0A3ED03F8
A9150716F0A216E0150F16C06D131F6DEB3F80160001FF13FC9038F381F89038F1FFE0D9
F07FC7FC91C8FCAA487EB512C0A325307EA02B>I<3803E07C38FFE1FF9038E38F809038
E71FC0EA07EEEA03ECA29038FC0F8049C7FCA35BB2487EB512E0A31A217FA01E>114
D<EBFF06000713CE381F00FE003C133E48131E140E5A1406A27EA200FE90C7FC6C7EEA7F
FC383FFFC014F0000F7F6C7FC67FEB0FFF1300EC3F8000C0131F140F6C1307A37E15006C
5B6C130E6C5B38F7807838E1FFE038C07F8019237EA11E>I<1330A51370A313F0A21201
A212031207381FFFFEB5FCA23803F000AF1403A814073801F806A23800FC0EEB7E1CEB1F
F8EB07E0182F7FAD1E>I<D803F0133F00FFEB0FFFA30007EB007F000380B35DA35D1201
6D4813800000903803BFFC90387E073FEB1FFED907F8130026227EA02B>I<B5EBFFF0A3
D80FF0EB3F800007EC1F000003140E150C6D131C00011418A26C6C5BA26D1370017E1360
137F6D5BA290381F8180A214C3010F90C7FCA2EB07E6A214FE6D5AA26D5AA36D5AA21460
24217E9F29>I<B53A1FFF81FFF0A33C07F801FC003F8001F049EB1E0000030100141C81
6C6C017C1318A26D017E1338000002FE1330A290267E01FF5B159F168090263F030F5BA2
16C0903A1F8607C180A202C613E390260FCC0390C7FCA2D907FC13F6ECF80116FE6D486C
5AA36D481378A36D48133034217F9F37>I<B53801FFF8A32603FE0013806C48EB7C0000
001478017E1370017F5B90383F81C090381F8380D90FC3C7FCEB07E614FE6D5A6D5A6D7E
80805B9038039F809038071FC09038060FE0EB0C0790381C03F0496C7E01707FEBF00000
0180000FECFF8026FFFC0313FCA326207F9F29>I<3A7FFF807FF8A33A07F8001FC00003
EC0F800001EC070015066C6C5BA26D131C017E1318A26D5BA2EC8070011F1360ECC0E001
0F5BA2903807E180A214F3010390C7FC14FBEB01FEA26D5AA31478A21430A25CA214E05C
A2495A1278D8FC03C8FCA21306130EEA701CEA7838EA1FF0EA0FC025307F9F29>I
E /Fm 7 117 df<ED1F80A24B7EA24B7EA34B7EA24A7FA34A7FA24A7F15CFA2020F7F15
87021F801503023F80EC3E01A2027E80EC7C0002FC804A137FA20101814A133F0103814A
131FA249B67EA24981A290271F8000077F91C77EA24982013E80017E82017C80A201FC82
49157FB500F0013FB512F0A43C347DB343>65 D<EB7FFE0003B512E04814F8390FF00FFC
391FF803FF806E138016C0157F6C5A6C5AEA0180C8FCEC7FFF010FB5FC90B6FC0003EBF0
7F000F1300EA1FF8485A485A485A5BA315FF7F007F5B6D4813E03A3FF80FBFFF000FB512
1F0003EBFC0F39007FE00728217EA02B>97 D<EA01FC12FFA4120F1207ADEC07FC91387F
FF8001FDB512E09039FFF00FF89138C007FC91380003FE496D7E496D1380A217C0167FA2
17E0A917C0A216FF1780A26D4913006D495A9138C007FC9039F3F01FF801E1B512E0D9C0
7F13809026800FF8C7FC2B347EB331>I<903807FF80013F13F090B512FC3903FE01FE48
48487EEA0FF8EA1FF0EA3FE0A2007F6D5A496C5A153000FF91C7FCA9127F7FA2003FEC07
807F6C6C130F000FEC1F00D807FE133E3903FF80FCC6EBFFF8013F13E0010790C7FC2121
7DA027>I<3901F81F8000FFEB7FF0ECFFF89038F9E3FC9038FBC7FE380FFF876C1307A2
13FEEC03FCEC01F8EC0060491300B1B512F0A41F217EA024>114
D<9038FFE1C0000713FF5A383F803F387E000F14075A14037EA26C6CC7FC13FCEBFFE06C
13FC806CEBFF80000F14C06C14E0C6FC010F13F0EB007F140F00F0130714037EA26C14E0
6C13076CEB0FC09038C01F8090B5120000F913FC38E03FE01C217DA023>I<133CA5137C
A313FCA21201A212031207001FB51280B6FCA3D807FCC7FCB0EC03C0A79038FE07801203
3901FF0F006C13FEEB3FFCEB0FF01A2F7EAE22>I E /Fn 37 122
df<121EEA7F8012FF13C0A213E0A3127FEA1E601200A413E013C0A31201138012031300
5A1206120E5A5A5A12600B1D78891B>44 D<B612C0A61A067F9721>I<121EEA7F80A2EA
FFC0A4EA7F80A2EA1E000A0A78891B>I<143014F013011303131F13FFB5FC13E7130712
00B3B3B0497E497E007FB6FCA3204278C131>49 D<14FF010713E0011F13F890387F00FE
01FC133FD801F0EB1F804848EB0FC049EB07E00007EC03F048481301A290C713F8481400
A47FA26D130116F07F6C6CEB03E013FC6C6CEB07C09039FF800F806C9038C01F006CEBF0
3EECF87839007FFEF090383FFFC07F01077F6D13F8497F90381E7FFFD97C1F1380496C13
C02601E00313E048486C13F000079038007FF84848EB3FFC48C7120F003EEC07FE150148
140016FF167F48153FA2161FA56C151E007C153EA2007E153C003E157C6C15F86DEB01F0
6C6CEB03E06C6CEB07C0D803F8EB1F80C6B4EBFF0090383FFFFC010F13F0010113802844
7CC131>56 D<16C04B7EA34B7EA34B7EA34B7EA3ED19FEA3ED30FFA203707FED607FA203
E07FEDC03FA2020180ED801FA2DA03007F160FA20206801607A24A6D7EA34A6D7EA34A6D
7EA20270810260147FA202E08191B7FCA249820280C7121FA249C87F170FA20106821707
A2496F7EA3496F7EA3496F7EA201788313F8486C83D80FFF03037FB500E0027FEBFFC0A3
42477DC649>65 D<B8FC17E017FC00019039C00003FF6C6C4801007FEF3FC0717E717E71
7E84170384170184A760A21703601707604D5A4D5AEF7FC04DC7FCEE03FEEE3FF091B65A
17FC0280C7B47EEF1FC0EF0FF0717E717E717E717E1980187F19C0A2183F19E0A8F07FC0
A2198018FF4D1300A24D5AEF0FFC4D5AEF7FE048486C903803FFC0B9C7FC17FC17C03B44
7CC345>I<DB0FFE146092B500C013E0020314F0913A0FFC01FC0191393FC0003E02FFC7
EA0F83D903FCEC03C74948EC01E74948EC00FF4948157F4948153F4948151F49C9120F48
5A491607120348481603A248481601A248481600A2123FA2491760127FA31900485AAE6C
7EA21960A2123F7FA2001F18E07F000F18C0A26C6C160119806C6C160312016DEE07006C
6C16066D6C150E6D6C5D6D6C5D6D6C15786D6C5D6D6C4A5AD900FFEC0780DA3FC0011FC7
FCDA0FFC13FC0203B512F0020014C0DB0FFEC8FC3B487BC546>I<B8FC17F017FC000190
39C00007FF6C499038007FC0017FED1FE0EF07F0EF03FC717E717E84727E727E727EA272
7E85180385A2180185A38584A31A80AD1A00A36061A361180361180761180F614E5A183F
614EC7FC18FEEF03FC4D5AEF1FE001FFED7FC0486DD907FFC8FCB812FC17F094C9FC4144
7CC34B>I<B912F0A3000101C0C7127F6C6C48EC0FF817031701170018781838A2181CA3
180CA4180E1806160CA21800A5161CA2163C167CED01FC91B5FCA3EC8001ED007C163C16
1CA2160CA793C8FCB08048487EB612F8A337447CC340>70 D<DB0FFE146092B500C013E0
020314F0913A0FFC01FC0191393FC0003E02FFC7EA0F83D903FCEC03C74948EC01E74948
EC00FF4948157F4948153F4948151F49C9120F485A491607120348481603A248481601A2
48481600A2123FA2491760127FA396C7FC485AAD4CB612C06C7EA293C7387FF000725A00
3F171F7FA2121F7F120FA26C7EA26C7E6C7EA26C7E6D7E6D6C153F6D7E6D6C157F6D6C15
E7D903FEEC01C7D900FFEC0383DA3FE0EB0F01DA0FFCEBFE000203B500F81360020002E0
90C7FCDB0FFEC9FC42487BC54D>I<010FB512FEA3D9000313806E130080B3B3AB123F48
7E487EA44A5A13801300006C495A00705C6C13076C5C6C495A6CEB1F802603E07FC7FC38
00FFFCEB1FE027467BC332>74 D<B600C049B512C0A3000101E0C8387FFC006C49ED3FE0
6D481680063EC7FC183C183860604D5A4D5A4DC8FC171E17385F5F4C5A4C5A4CC9FC160E
5E5E5E5E4B5A4B7E4B7E150F4B7E4B7E1577EDE3FE913881C1FFEC8381DA87007F028E6D
7E149C02B86D7E02F06D7E14C04A6D7E707EA2707E707EA2707F717EA2717E717EA2717E
717EA2717E717EA2717F8585496C82486D4A13FCB600C0011FEBFFE0A343447CC34C>I<
B612F8A3000101E0C9FC6C6C5A5CB3B31830A418701860A518E0A3EF01C0A217031707A2
170F173F177FEE01FF48486C011F1380B9FCA334447CC33D>I<B56C933807FFFC6E5EA2
0001F1FE0026006FE0EE1BF8A3D967F01633A2D963F81663A3D961FC16C3A3D960FEED01
83A2027FED0303A36E6C1406A36E6C140CA26E6C1418A36E6C1430A36E6C1460A26E6C14
C0A36E6CEB0180A3037FEB0300A292383F8006A36F6C5AA36F6C5AA26F6C5AA36F6C5AA3
6F6C5AA26FB45AA370C7FC13F0A2486C143ED80FFFEF0FFEB500F0011C0107B512FCA34E
447BC359>I<B712E016FF17C000019039C0003FF86C6C48EB03FCEE00FF717E717E717E
717E717EA284170384A760A21707604D5AA24D5A4D5A4DC8FCEE01FEEE07F8EE3FE091B6
C9FC16FC913980007F80EE0FE0707EEE03FC707E160083717EA2717EA784A71A6084171F
A21AE0716C13C02601FFE002071301B600C01680943801FC03943900FE0700CBEA3FFEF0
07F843467CC348>82 D<49B41303010FEBE007013F13F89039FE00FE0FD801F8131FD807
E0EB079F49EB03DF48486DB4FC48C8FC4881003E81127E82127C00FC81A282A37E82A27E
A26C6C91C7FC7F7FEA3FF813FE381FFFE06C13FE6CEBFFE06C14FC6C14FF6C15C0013F14
F0010F80010180D9001F7F14019138001FFF03031380816F13C0167F163F161F17E000C0
150FA31607A37EA36C16C0160F7E17806C151F6C16006C5D6D147ED8FBC05CD8F9F0495A
D8F07C495A90393FC00FE0D8E00FB51280010149C7FC39C0003FF02B487BC536>I<B600
C0010FB5FCA3000101E0C813F026007F80ED1F80F00F00A21806B3B3A7180E6D6C150CA2
181C131F6E1518010F163818306D6C1570606D6C14016D6C5D6D6CEC0780027F4AC7FC6E
6C131EDA1FE0137C913907FC03F00201B55A6E6C1380DB07FCC8FC40467CC349>85
D<B60107B500F890380FFFFEA3000301E0D9001F90C813F06C0180DA0FFCED3FC091C86C
48ED1F006C871C0E6D6C6E7E1C0CA26D6C6F5DA36EDA06FF1538011F1A30A26E020E6D14
70010FDB0C7F1560A26E021C7F0107DB183F5DA2856D6CDA301F4A5AA36D6C4A6C6C49C7
FCA36D6C4A6C6C1306A3DB80016E130E027FDA8003140CA2DBC00380023FDA00015CA203
E081021F01066D5CA36E6C486E6C5AA36E6C486E6C5AA36F48EC1FE1020360A2DBFE7015
F302010160020F90C8FCA2DBFFE015FB6E49EC07FEA36F486E5AA36FC86C5AA3031E6F5A
A4030C16605F467EC364>87 D<EB07FC90383FFF809038F80FE03903C003F048C66C7E00
0E6D7ED80FC0137E486C137F6D6D7EA36F7EA26C5AEA0380C8FCA4EC0FFF49B5FC90380F
FE1FEB3FC0EBFF00EA03FC485A485A485A485A127F5B176048C7FCA3153FA36D137F007F
14EF6D9038C7E0C0003F13013A1FE00783F13B07F81E03FF802701FFFC0113003A001FE0
007C2B2E7CAC31>97 D<EC7F80903803FFF090380FC07C90383F000F01FCEB03804848EB
01C00003140F4848EB1FE049133F120F485AA2485AED1FC0007FEC070092C7FCA290C9FC
5AAB7E7FA2123F16307F001F15706C6C146016E06C6C14C06C6C13010001EC03806C6CEB
0700013F131E90381FC078903807FFF001001380242E7DAC2B>99
D<167FED3FFFA315018182B3EC7F80903803FFF090380FC07C90383F000E017E1307496D
5AD803F87F48487F5B000F81485AA2485AA2127FA290C8FC5AAB7E7FA2123FA26C7EA200
0F5D7F6C6C5B00035C6C6C9038077F806C6C010E13C0013F011C13FE90380FC0F8903803
FFE09026007F0013002F467DC436>I<EB01FE903807FFC090381F03F090387E00FC4913
7E48487F485A4848EB1F80000F15C049130F121F484814E01507A2007F15F090C7FCA25A
A390B6FCA290C9FCA67EA27FA2123F16306C7E1670000F15606D14E06C6C14C000031401
6C6CEB03806C6CEB0700013E131E90381F80F8903803FFE0010090C7FC242E7DAC2B>I<
EC0FE0EC7FF8903801F81E903803F03F90390FE07F8090381FC0FF5C133F495AA2ED7F00
01FE131C92C7FCAFB67EA3C648C8FCB3B2486C7E007F13FFA321467EC51E>I<EA01E0EA
07F8A2487EA46C5AA2EA01E0C8FCADEA01FC12FFA3120712031201B3B0487EB512F8A315
437DC21C>105 D<EA01FC12FFA3120712031201B3B3B3A5487EB512F8A315457DC41C>
108 D<D801FC01FFEC1FE000FF010701E0EBFFFC913B0F03F801E07F913C3C01FC07803F
800007903C7000FE0E001FC0000349D97E1C130F2601FDC0D97F38804A143001FFDA3FF0
6D7E91C75BA2495DA3495DB3A8486C4A6C497EB5D8F81FB50003B512E0A34B2C7DAB52>
I<3901FC01FE00FF903807FFC091381E07F091383801F8000701707F0003EBE0002601FD
C07F5C01FF147F91C7FCA25BA35BB3A8486CECFF80B5D8F83F13FEA32F2C7DAB36>I<EC
7F80903803FFF090380FC0FC90383E001F496D7E496D7E48486D7E48486D7E48486D7E00
0F81A24848147E003F157FA290C87E481680A44816C0AA6C1680A26D147F003F1600A200
1F157E6D14FE000F5D6D130100075D6C6C495A6C6C495A6C6C495A013E49C7FC90381FC0
FE903807FFF89038007F802A2E7DAC31>I<3901FC03FC00FF90380FFF8091383C07E091
387001F83A07FDE000FE00010180137F01FFEC3F8091C7EA1FC04915E049140F17F01607
17F8160317FCA3EE01FEABEE03FCA3EE07F8A217F0160F6D15E0EE1FC06D143F17806EEB
7E00D9FDC05B9039FCF003F891383C0FE091381FFF80DA03FCC7FC91C9FCAE487EB512F8
A32F3F7DAB36>I<3903F803F000FFEB1FFCEC3C3EEC707F0007EBE0FF3803F9C000015B
13FBEC007E153C01FF13005BA45BB3A748B4FCB512FEA3202C7DAB26>114
D<90383FE0183901FFFC383907E01F78390F0003F8001E1301481300007C1478127800F8
1438A21518A27EA27E6C6C13006C7E13FC383FFFE06C13FC6C13FF6C14C06C14E0C614F0
011F13F81300EC0FFC140300C0EB01FE1400157E7E153EA27EA36C143C6C147C15786C14
F86CEB01F039F38003E039F1F00F8039E07FFE0038C00FF01F2E7DAC26>I<1306A5130E
A4131EA3133E137EA213FE12011207001FB512F0B6FCA2C648C7FCB3A4150CAA017E131C
017F1318A26D133890381F8030ECC070903807E0E0903801FFC09038007F001E3E7EBC26
>I<D801FC147F00FFEC3FFFA300071401000380000181B3A85EA35DA212006D5B017E90
38077F80017F010E13C06D011C13FE90380FC078903803FFF09026007F8013002F2D7DAB
36>I<B539F001FFFCA3000790C7EA7FE06C48EC1F8000011600160E1200160C017F5CA2
80013F5CA26E1370011F146080010F5CA2ECF00101075CA26D6C48C7FCA26E5A01011306
A26D6C5AA214FF6E5AA215B8EC3FB015F06E5AA36E5AA26E5AA36EC8FC2E2C7EAA33>I<
B500E0B539E03FFF80A30007903C000FFE000FFC00D803FCD903F8EB03F8F001E0120103
015D6D80000060A26D6E13036DD9037E91C7FCA20280017F5B013FD9063F1306A2D91FC0
6E5AED0C1FA2D90FE06E5AED180FA2D907F06E5AED3007A2D903F86E5AED6003A2902601
FCE06D5AEDC00117FCD900FFECFD80ED800017FF027F92C8FC92C77EA26E147E023E143E
A2021E143C021C141CA2412C7EAA46>I<B539F001FFFCA3000790C7EA7FE06C48EC1F80
00011600160E0000150C6D141C6D1418A26E1338013F1430A26D6C5BA26E13E0010F5CA2
6D6C485AA2ECF803010391C7FCA2903801FC06A2ECFE0E0100130CA2EC7F18A215B8EC3F
B0A2EC1FE0A36E5AA26E5AA36EC8FCA21406A35CA25CA2123C007E5BB4FC5CA25CEAFE01
387C0380D87007C9FCEA3C1EEA0FFCEA03F02E3F7EAA33>121 D
E /Fo 25 120 df<B712F0A7240780A12B>45 D<170FA34D7EA24D7EA34D7EA34D7EA34C
7F17DFA29338039FFC178FA29338070FFE1707040F7FEE0E03A2041E80EE1C01A2043C80
EE3800A24C80187FA24C80183FA24B4880181F0303814C130FA203078193C71207A24B81
030E80A24B8284A24B8284A24B82197F03F0824B153FA20201834B151FA202038392B8FC
A24A83A292C91207020E8385A24A8485023C84023882A20278840270177FA202F0844A17
3FA24948841A1FA24948841A0FA249CB7F1A074985865B496C85497E48486C4D7F000F01
F8051F13F0B60407B612F0A45C657DE463>65 D<BB12FCA4C601FCC8120FD93FF8923800
7FFE011F171F190719031900A21A7E1A3EA21A1EA21A1F86A486A6F20380A318E0A297C7
FCA61701A417031707170F171F17FF91B7FCA402F8C7FC171F170F170717031701A41700
A895C9FCB3A580133F90B57EB712E0A4496279E156>70 D<B7020FB612F0A4C691C9000F
EBF000D93FFC040313C06D48705BB3B3A391BAFCA402F8C91201B3B3A7496C4C7F90B504
0F13F0B7020FB612F0A4546279E163>72 D<B712C0A4C66CEB8000D91FFEC7FC6D5AB3B3
B3B3AE497E90387FFF80B712C0A422627AE12F>I<B712E0A4C60280CAFCD93FFCCBFC13
1F5CB3B3B21A1CA61A3C1A38A61A78A41AF8A21AF01901A219031907A2190F191F193F19
7FF001FF1807013F043F13E0D9FFFC0203B5FCBBFCA4466279E153>76
D<B500FC071FB51280A36E61C6F58000013F51C7FCD91DFFF177FCA2011C6D18E7A36E6C
EF01C7A36E6CEF0387A36E6CEF0707A26E6C170EA36E6C171CA36E6C1738A36E6C1770A2
6E6D16E0A36F6CED01C0A36F6CED0380A36F6CED0700A26F6C150EA36F6C5DA36F6C5DA3
6F6C5DA26F6D5CA3706C495AA3706C495AA3706C49C7FCA2706C130EA3706C5BA3706C5B
A3706C5BA3706D5AA294387FC1C0A394383FE380A3DD1FF7C8FCA3EF0FFEA2013E6F5AA2
137F715A2601FFC04F7E000701F896383FFF80B66C6D48023FB61280A3715A696278E17A
>I<933801FFE0043F13FF4BB612E003079038003FF8DB1FF0EB03FEDB7FC0903800FF80
4A48C8EA3FE0DA03FCED0FF0DA0FF0ED03FC4A486F7E4A486F7E4A48707E4ACA6C7E4948
717E4948717E4948717E4948717E4948717E013F854A83017F864948727EA24890CC6C7E
A24848737EA24848737EA2000F87491907001F87A34848737EA4007F1C80A24985A400FF
1CC0AF6C6C4F1380A5003F1C006D61A3001F63A26D190F000F63A26C6C4F5AA36C6C4F5A
A26C6D4E5A6C636E18FF017F626D6C4D90C7FC6E5F011F616D6C4D5A6D6C4D5A0103616E
171F6D6C4D5A6D6D4C5ADA3FC04CC8FCDA1FF0ED03FE6E6C4B5A6E6C4B5ADA01FFED3FE0
9126007FC0ECFF80DB1FF0D903FEC9FCDB07FFEB3FF8030190B512E0DB003F91CAFC0401
13E05A667AE367>79 D<EC3FF0903803FFFE010F6D7E90393FC03FE090397E0007F801F8
6D7ED801E06D7E48486D7E48486E7E48C86C7E7F01F06E7E487E6D6E7EA3707EA36C5AEA
03E0C9FCA6167FED7FFF020FB5FC91387FF807903801FF80903807FC00EB1FF0EB7FC049
5AD803FEC7FC485A120F5B485A485AA2484817E0A312FF5BA2160FA3161F6D141B007F15
3B16736D913971FC01C06C6C14E1001FEC01C1D80FFC903A0780FE03806C6C903A0F00FF
07002701FF807E6DB4FC27007FFFF86D5A011F01E0EB1FF8010190C7EA07E03B417ABF42
>97 D<4AB47E020F13F8023F13FE9139FF007F80D903FCEB07E0D907F0EB01F0D91FE0EB
007849488049488049C87E48485D4915FF00034B138048485CA2485AA2485AA2003F6F13
0049EC007C94C7FC127FA35B12FFAD127F7FA4123F7FA2001FEE01C07F000F16036D1680
12076C6C15076D160000015E6C6C151E6D6C5C6D6C5C6D6C5CD90FF8495AD903FCEB07C0
903A00FF803F8091263FFFFEC7FC020F13F80201138032417CBF3A>99
D<181EEF3FFEEE07FFA4EE000F1703A21701B3AAEDFF80020F13F8023F13FE9139FF803F
81903A03FC0007C14948EB01E1D91FE0EB00F94948147D4948143D49C8121F4848150F49
1507120348481503491501120F121F5BA2123F5B127FA45B12FFAD127F7FA3123FA27F12
1FA26C6C1503A26C6C150712036D150F6C6C151F0000163D137F6D6CECF9FF6D6CEB01F1
D90FF0D903C113C06D6CD90F81EBFF80D901FFEB7F019039007FFFFC021F13E002010100
91C7FC41657CE349>I<EC03FE91381FFFE091B512F8903901FE03FE903A07F0007F8049
486D7ED93FC06D7E49C76C7E496E7E49140348488148481401000782491400000F828348
5A1880123F49153FA2007F17C0A35BA212FF90B8FCA30180CAFCA9127F7FA3123FA27F12
1FEF01C06C7E17036C6C1680A26C6C15070001EE0F006D150E6C6C151E6D6C5C6D6C5C6D
6C5CD907F0EB03E0D903FC495A902700FF803FC7FC91383FFFFC020F13F0020113803241
7CBF3A>I<ED0FF0ED7FFC4AB5FC913907F81F8091390FE00FC091381FC03F91393F807F
E0EC7F005C495A5C0103EC3FC0A24948EB0F0093C7FCA2495AB3A5B712F0A426000FF0C8
FCB3B3B0497EEB3FFE003FB6FCA42B657EE428>I<F03F80DA03FC903801FFE091273FFF
C00713F091B539F01FC1F8903B03FC03FC3E03903A07F000FE784948EB7FE04948EB3FC0
4948011FEB01F049C76C6CC7FC01FE6E7EA248486E7EA2000382A2491401000782AA0003
5E6D1403A200015EA26C6C4A5AA2017F4A5A6D6C495A6D6C495A496C49C8FCD937F013FE
903973FC03FC0160B512F0D9E03F13C0DA03FCC9FC4848CBFCA57FA27FA27F6C7E13FF91
B512FE6DECFFF06D15FE6D6F7E6D16E084013F16FC01FEC700017FD803F8EC001FD807E0
ED03FF4848030013804848167F003FEF3FC090CA121F127EF00FE012FE481707A66C170F
007E18C0A2007F171F6C6CEE3F806C6CEE7F00000F177ED807F04B5A6C6C4B5A6C6C4B5A
D8007FED1FC0D93FE0ECFF80D90FFED90FFEC7FC0101B612F0D9003F1480020101F0C8FC
3D5E7DBF42>I<EB03C0EA07FFB5FCA41201EA007FA2133FB3AAEE7FE0923803FFFC030F
13FFDB3F0013C00378EB1FE04B6D7EDAC1C06D7EDAC3808002C7C7120302CE81170114DC
14D802F86E7E5CA35CA35CB3B3496C4A7F496C4A7FB6D8F003B612C0A442647DE349>I<
133C13FF487F487FA66C5B6C90C7FC133C90C8FCB3A2EB03C0EA07FF127FA41201EA007F
A2133FB3B3AC497E497EB612E0A41B5F7DDE23>I<EB03C0EA07FFB5FCA41201EA007FA2
133FB3AB0403B512F8A40400148094387FFC0018E06095C7FC177E5F17F04C5A4C5A4C5A
4CC8FC163E5E5E4B5A4B5A4B5A4B5A151F4B7E4B7E15FF02C17F9138C3CFF8ECC7879138
CF07FC9138FE03FEECFC0102F87F4A6C7F4A137F4A80707E161F83707E160783707E1601
83707F177F84717E171F84717E84A284496CEDFF80496C4A13E0B600F090B6FCA440647C
E346>107 D<D903C0D9FFC0EC07FED807FF010301F891381FFFC0B5010F01FE027F13F0
923D3F00FF8001F807FC0378903B3FC003C001FEDAC1E090261FE00FC77E0001D9C3C090
260FF01E6E7ED8007F49902607F81C6E7E02C7C75CD93FCE6E6C486E7E02CC166002DC16
E002D85E02F8DA01FF6F7E4A5EA24A93C8FCA44A5DB3B3496C4A6C4B7E496C4A6D4A7EB6
D8F007B6D8803FB512FCA4663F7CBE6F>109 D<D903C0EB7FE0D807FF903803FFFCB501
0F13FFDB3F0013C00378EB1FE04B6D7E0001D9C1C06D7E27007FC3808002C7C71203D93F
CE81170114DC14D802F86E7E5CA35CA35CB3B3496C4A7F496C4A7FB6D8F003B612C0A442
3F7DBE49>I<EDFF80020F13F8023F13FE9139FF007F80D903FCEB1FE0D907F0EB07F0D9
0FC0EB01F8D93F80EB00FE49C8127F017E81496F7E48486F7E0003834915070007834848
6F7EA2001F83491501A2003F83A348486F7EA400FF1880AC007F1800A26D5DA2003F5FA3
6C6C4B5AA36C6C4B5A00075FA26C6C4B5A6C6C4B5AA26C6C4B5A017F4BC7FC6D6C14FE6D
6C495AD90FF0EB07F8D903FCEB1FE0D900FFEB7F806EB5C8FC020F13F8020113C039417C
BF42>I<9039078003F8D807FFEB0FFFB5013F13C092387C0FE0913881F01F9238E03FF0
0001EB838039007F8700148FEB3F8E029CEB1FE0EE0FC00298EB030002B890C7FCA214B0
14F0A25CA55CB3B0497EEBFFF8B612FCA42C3F7CBE33>114 D<1438A71478A414F8A313
01A31303A21307130F131FA2137F13FF1203000F90B6FCB8FCA3260007F8C8FCB3AE17E0
AE6D6CEB01C0A316036D6C148016076D6C14006E6C5A91383FC01E91381FF07C6EB45A02
0313E09138007F802B597FD733>116 D<D903C0150FD807FFED1FFFB50203B5FCA40001
ED0007D8007F1501A2013F81B3B25FA35FA35F011F15066E140E5F130F6E4A7F01075D6D
6C494813E0D901FE4948EBFFC0903A00FFC01F8091393FFFFE00020F13F8020001C0EC80
0042407DBE49>I<B66C49B512E0A4000101F8C8387FFE0026007FE0ED1FF819E0013F70
5A61131F6E93C7FC130F180E6E151E0107161C8001035EA26E157801011670806D5EA26F
1301027F5DA26E6C495AA26F1307021F92C8FCA26E6C130EA26F131E0207141CA26F133C
020314388102015CA26F13F06E5C168092387F81C0A216C3033F5B16E3DB1FE7C9FCA216
FF6F5AA26F5AA36F5AA26F5AA36F5A433F7FBD46>I<B6D8801FB500E090B512F8A40003
01F0C7D87FFCC7001F1380C601C0DA3FF0913807FE00051F6F5A017F030F6F5A64133F05
075E6E81011F030F5EA26E6F1403010F031F5E171D6E6F14070107033D93C7FC17386E6F
5C01030378150EEF707F6E70131E010103F0151CEFE03F6E70133C6D02011638EFC01F03
806F1378027F01031670EF800F03C06F13F0023F01075EEF000703E0EDF801021F495E04
0E130303F0EDFC03020F011E5E041C130103F8EDFE070207013C93C8FC0438130003FC6F
5A02030178150E0470147F03FE169E020101F0159C4C143F03FF16FC6E5F4C141FA2037F
5E4C140FA2033F5E93C81207A26F5E031E1503030E5E5D3F7FBD60>I
E end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 600dpi
TeXDict begin
%%PaperSize: a4
%%BeginPaperSize: a4
/setpagedevice where {
pop 1 dict dup /PageSize [ 595 842 ] put setpagedevice
} {
statusdict /a4tray known {
statusdict begin a4tray end
/a4 where { pop a4 } if
} {
/a4 where {
pop a4
} {
statusdict /setpage known {
statusdict begin
595 842 0 setpage
end
} if
} ifelse
} ifelse
} ifelse
%%EndPaperSize
%%EndSetup
%%Page: 1 1
1 0 bop 191 739 a Fo(A)44 b(F)-11 b(ramew)l(ork)42 b(for)h
(Higher-Order)i(Inductiv)l(e)h(Mac)l(hine)f(Learning)200
980 y Fn(A.F.)32 b(Bo)m(w)m(ers,)j(C.)e(Giraud-Carrier,)d(C.)j(Kennedy)
-8 b(,)34 b(J.W.)f(Llo)m(yd,)g(R.)f(MacKinney-Romero)1232
1096 y(Departmen)m(t)g(of)g(Computer)h(Science)1511 1212
y(Univ)m(ersit)m(y)g(of)f(Bristol)1482 1328 y(Bristol)f(BS8)i(1UB,)g
(UK)1743 1631 y Fm(Abstract)473 1741 y Fl(This)c(p)r(osition)h(pap)r
(er)f(presen)n(ts)g(a)h(framew)n(ork)f(for)h(inductiv)n(e)e(mac)n(hine)
g(learning)i(whic)n(h)f(includes)358 1833 y(higher-order)36
b(concepts)h(and)f(is)h(su\016cien)n(tly)f(general)h(to)g(include)f
(most)g(of)h(the)f(extan)n(t)g(\(sym)n(b)r(olic\))358
1924 y(inductiv)n(e)24 b(learning)j(framew)n(orks)f(and)g(systems.)150
2195 y Fk(1)135 b(In)l(tro)t(duction)150 2377 y Fj(Inductiv)n(e)39
b(mac)n(hine)g(learning)g(fo)r(cuses)g(on)g(tec)n(hniques)g(for)g
(learning)f(from)h(examples)g(and)g(bac)n(kground)150
2477 y(kno)n(wledge.)45 b(T)-7 b(raditionally)g(,)31
b(inductiv)n(e)g(learners)e(ha)n(v)n(e)h(used)h(the)g(attribute-v)-5
b(alue)30 b(language)g(to)g(represen)n(t)150 2576 y(examples.)35
b(Though)25 b(the)g(relativ)n(e)f(simplicit)n(y)h(of)g(this)g(represen)
n(tation)e(allo)n(ws)h(the)h(construction)f(of)h(e\016cien)n(t)150
2676 y(algorithms,)39 b(it)f(also)f(restricts)f(the)i(applicabilit)n(y)
g(of)f(the)h(learner,)h(as)e(induced)i(theories)d(are)h(essen)n(tially)
150 2776 y(prop)r(ositional.)51 b(In)33 b(recen)n(t)f(y)n(ears,)g
(researc)n(h)f(in)i(inductiv)n(e)g(logic)f(programming)f(\(ILP\))h(has)
h(extended)g(the)150 2875 y(applicabilit)n(y)e(of)h(learning)f(systems)
g(b)n(y)h(in)n(v)n(estigating)f(and)g(successfully)h(designing)f
(e\016cien)n(t)h(metho)r(ds)g(of)150 2975 y(induction)e(within)g
(\014rst-order)d(predicate)i(logic.)42 b(Most)29 b(implemen)n(ted)h
(ILP)f(systems)g(are)f(based)h(on)g(Prolog)150 3075 y(and)c(hence)h
(can)f(tak)n(e)g(adv)-5 b(an)n(tage)24 b(of)i(Prolog's)d(w)n
(ell-de\014ned,)j(e\016cien)n(t)f(op)r(erational)f(mo)r(del.)37
b(Ho)n(w)n(ev)n(er,)24 b(they)150 3174 y(also)d(inherit)h(Prolog's)d
(limitations.)35 b(In)22 b(particular,)f(Prolog)f(is)i(essen)n(tially)e
(\014rst-order)g(and)i(pro)n(vides)e(neither)150 3274
y(higher-order)25 b(constructs)i(nor)g(declarativ)n(e)f
(meta-programming)f(facilities.)275 3373 y(Esc)n(her)j(is)i(a)g(new)g
(language)f(whic)n(h)h(e\013ectiv)n(ely)g(com)n(bines)g(the)g(b)r(est)h
(features)e(of)i(logic)e(and)h(functional)150 3473 y(programming)h
(languages.)50 b(Esc)n(her's)31 b(programs)f(are)i(equational)g
(theories)f(and)i(Esc)n(her's)e(computational)150 3573
y(mo)r(del)d(is)f(based)h(on)f(rewriting.)36 b(Hence,)28
b(Esc)n(her)e(o\013ers)h(a)g(unique)h(opp)r(ortunit)n(y)f(to)h(broaden)
f(the)h(de\014nition)150 3672 y(of)i(ILP)g(and)g(to)g(in)n(v)n
(estigate)f(induction)h(in)h(higher-order)c(logics.)44
b(What)30 b(follo)n(ws)f(is)h(th)n(us)h(a)e(framew)n(ork)g(for)150
3772 y(\(sym)n(b)r(olic\))24 b(inductiv)n(e)f(learning)g(whic)n(h)g(is)
h(su\016cien)n(tly)f(general)g(to)g(include)h(most)f(of)h(the)g(extan)n
(t)f(\(sym)n(b)r(olic\))150 3872 y(inductiv)n(e)32 b(learning)f(framew)
n(orks)f(and)i(systems.)49 b(It)33 b(treats)e(the)i(logic)e
(programming)f(and)i(the)g(functional)150 3971 y(programming)18
b(cases)h(uniformly)-7 b(.)34 b(F)-7 b(urthermore,)21
b(it)g(generalises)d(existing)i(framew)n(orks)e(in)i(that)h
(higher-order)150 4071 y(concepts)27 b(are)g(included.)39
b(Th)n(us)27 b(higher-order)f(functions)i(\(and,)g(in)g(particular,)f
(predicates\))g(can)h(app)r(ear)f(in)150 4170 y(the)33
b(bac)n(kground)d(theory)-7 b(,)33 b(and)f(the)g(target)g(function)h
(whose)e(de\014nition)i(is)f(to)g(b)r(e)h(induced)f(can)g(b)r(e)h
(higher)150 4270 y(order.)i(W)-7 b(e)26 b(b)r(eliev)n(e)f(the)h
(extensions)f(considered)g(here)g(will)h(pro)n(v)n(e)d(to)j(b)r(e)g
(signi\014can)n(t)f(for)g(a)g(gro)n(wing)e(class)i(of)150
4370 y(applications)i(of)g(inductiv)n(e)h(learning.)275
4469 y(Section)22 b(2)f(giv)n(es)g(a)h(brief)g(o)n(v)n(erview)e(of)j
(Esc)n(her,)e(with)i(emphasis)f(on)g(the)g(constructs)f(useful)i(for)f
(induction.)150 4569 y(Section)40 b(3)f(reform)n(ulates)f(the)j
(inductiv)n(e)f(learning)e(problem)i(in)g(our)f(extended)h(con)n(text)f
(and)h(Section)f(4)150 4669 y(presen)n(ts)34 b(the)h(form)f(tak)n(en)g
(b)n(y)h(induced)g(functions.)58 b(Section)35 b(5)f(outlines)h(a)f
(general)g(learning)f(algorithm.)150 4768 y(Finally)-7
b(,)28 b(Section)f(6)g(concludes)g(the)h(p)r(osition)g(pap)r(er)f(with)
h(some)f(remarks.)150 5039 y Fk(2)135 b(Esc)l(her)150
5221 y Fj(W)-7 b(e)26 b(w)n(ork)f(in)h(Esc)n(her)e(logic)h(whic)n(h)h
(is)g(the)g(logic)f(of)h(the)g(Esc)n(her)f(programming)e(language.)35
b(This)26 b(is)g(a)f(higher-)150 5321 y(order)h(logic)h(based)g(on)g
(Ch)n(urc)n(h's)g(simple)h(theory)f(of)g(t)n(yp)r(es)h([Ch)n(u40)o(])f
(with)h(sev)n(eral)e(extensions.)275 5420 y(The)34 b(follo)n(wing)g
(constructs)g(of)h(Esc)n(her)e(logic)h(are)g(particularly)f(relev)-5
b(an)n(t)34 b(to)h(the)g(construction)f(of)h(the)150
5520 y(de\014nition)28 b(of)g(the)g(target)e(function)i(in)g(an)g
(inductiv)n(e)f(learning)g(problem:)275 5670 y Fi(\017)41
b Fj(connectiv)n(es)26 b Fi(^)p Fj(,)i Fi(_)p Fj(,)g
Fi(!)p Fj(,)g(and)g Fi(:)p Fj(.)1892 5919 y(1)p eop
%%Page: 2 2
2 1 bop 150 100 a Fh(3)83 b(F)n(ORMULA)-7 b(TION)27 b(OF)h(THE)f(PR)n
(OBLEM)1913 b Fj(2)275 390 y Fi(\017)41 b Fj(A)n(toms)31
b(of)g(the)h(form)f Fg(x)e Fj(=)g Fg(f)9 b Fj(\()p Fg(x)1369
402 y Ff(1)1407 390 y Fg(;)14 b(:::;)g(x)1597 402 y Fe(n)1642
390 y Fj(\),)33 b(where)e Fg(x)h Fj(is)f(a)g(v)-5 b(ariable,)31
b Fg(f)40 b Fj(is)31 b(a)g(function,)i(and)e(the)h Fg(x)3505
402 y Fe(i)3564 390 y Fj(are)358 490 y(v)-5 b(ariables.)275
652 y Fi(\017)41 b Fj(A)n(toms)27 b(of)g(the)h(form)g
Fg(p)p Fj(\()p Fg(x)1176 664 y Ff(1)1213 652 y Fg(;)14
b(:)g(:)g(:)g(;)g(x)1445 664 y Fe(n)1491 652 y Fj(\),)28
b(where)f Fg(p)g Fj(is)h(a)f(predicate)g(and)g(the)h
Fg(x)2747 664 y Fe(i)2803 652 y Fj(are)f(v)-5 b(ariables.)275
814 y Fi(\017)41 b Fj(existen)n(tial)27 b(quan)n(ti\014cation)f
Fi(9)p Fg(x:t)p Fj(,)j(where)e Fg(t)h Fj(is)f(a)g(conjunction)h(of)f
(atoms.)275 976 y Fi(\017)41 b Fj(univ)n(ersal)26 b(quan)n
(ti\014cation)h Fi(8)p Fg(x:)p Fj(\()p Fg(s)22 b Fi(!)i
Fg(t)p Fj(\),)k(where)f Fg(s)g Fj(and)h Fg(t)f Fj(are)g(form)n(ulas.)
275 1138 y Fi(\017)41 b Fj(set)27 b(abstraction)f Fi(f)p
Fg(x)d Fj(:)h Fg(t)p Fi(g)p Fj(.)275 1300 y Fi(\017)41
b Fj(applications)26 b(of)i(the)g(form)f Fg(s)c Fi(2)g(f)p
Fg(x)g Fj(:)h Fg(t)p Fi(g)p Fj(.)275 1462 y Fi(\017)41
b Fj(lam)n(b)r(da)27 b(abstraction)f Fg(\025x:t)p Fj(.)275
1624 y Fi(\017)41 b Fj(applications)26 b(of)i(the)g(form)f(\()p
Fg(\025x:t)38 b(s)p Fj(\).)275 1782 y(Most)d(existing)f(ILP)h(systems)g
(con\014ne)g(atten)n(tion)g(to)g(form)n(ulas)f(consisting)h(of)g(atoms)
g(and)g(the)h(single)150 1882 y(connectiv)n(e)19 b(conjunction.)34
b(A)20 b(few)f(consider)g(negation.)33 b(Existen)n(tial)19
b(quan)n(ti\014cation)f(only)h(app)r(ears)f(implicitly)150
1981 y(in)28 b(the)g(existing)f(logic)g(programming)e(framew)n(orks.)35
b(The)28 b(other)f(constructs)f(are)h(almost)g(alw)n(a)n(ys)f(ignored.)
275 2081 y(Esc)n(her)19 b(is)h(an)h(in)n(tegrated)e(functional)i(and)f
(logic)g(programming)f(language)g(with)i(a)f(syn)n(tax)g(that)h
(coincides)150 2181 y(with)34 b(Hask)n(ell)e(for)g(the)i(functional)f
(subset,)h(but)g(also)e(includes)h(syn)n(tactic)g(extensions)f(for)h
(the)g(quan)n(ti\014ers)150 2280 y(and)28 b(set)h(constructs.)39
b(Esc)n(her)27 b(programs)f(are)i(equational)f(theories)h(in)h(whic)n
(h)f(individual)h(statemen)n(ts)f(ha)n(v)n(e)150 2380
y(the)g(form)150 2479 y Fg(f)9 b Fj(\()p Fg(t)262 2491
y Ff(1)299 2479 y Fg(;)14 b(:)g(:)g(:)g(;)g(t)514 2491
y Fe(n)559 2479 y Fj(\))23 b(=)g Fg(b)150 2579 y Fj(where)28
b Fg(f)37 b Fj(is)28 b(a)g(function,)h(the)g Fg(t)1146
2591 y Fe(i)1202 2579 y Fj(are)e(terms,)h(and)h Fg(b)f
Fj(is)g(a)g(term.)39 b(The)28 b(term)g Fg(f)9 b Fj(\()p
Fg(t)2692 2591 y Ff(1)2730 2579 y Fg(;)14 b(:)g(:)g(:)f(;)h(t)2944
2591 y Fe(n)2989 2579 y Fj(\))29 b(is)f(called)g(the)h
Fd(he)l(ad)150 2679 y Fj(and)i(the)g(term)f Fg(b)h Fj(is)f(called)h
(the)g Fd(b)l(o)l(dy)g Fj(of)g(the)g(statemen)n(t.)46
b(The)31 b Fd(de\014nition)g Fj(of)g(a)f(function)h Fg(f)40
b Fj(consists)30 b(of)g(all)150 2778 y(the)e(statemen)n(ts)f(whic)n(h)h
(ha)n(v)n(e)e Fg(f)37 b Fj(as)26 b(the)i(top-lev)n(el)f(function)h(in)g
(their)g(head.)275 2878 y(W)-7 b(e)28 b(sa)n(y)e(a)i(closed)f(term)h
(is)f(a)h Fd(value)g Fj(if)g(it)g(consists)f(solely)g(of)h(data)f
(constructors.)36 b(F)-7 b(or)27 b(example,)h(the)g(list)150
2978 y([1)p Fg(;)14 b Fj(2)p Fg(;)g Fj(3],)26 b(the)i(b)r(o)r(olean)f
Fd(T)-6 b(rue)p Fj(,)28 b(and)f(the)h(in)n(teger)f(42)g(are)f(all)h(v)
-5 b(alues.)275 3077 y(F)e(urther)37 b(details)h(ab)r(out)g(Esc)n(her)e
(logic)h(and)h(the)g(Esc)n(her)f(programming)e(language)i(are)g(con)n
(tained)g(in)150 3177 y([Llo95)o(])27 b(and)h([Llo97)n(].)150
3450 y Fk(3)135 b(F)-11 b(orm)l(ulation)46 b(of)f(the)g(Problem)150
3632 y Fj(An)28 b(inductiv)n(e)g(learning)e(problem)h(has)g(the)h
(follo)n(wing)f(comp)r(onen)n(ts:)251 3790 y(1.)42 b
Fd(Backgr)l(ound)31 b(the)l(ory)p Fj(.)358 3889 y(The)e(bac)n(kground)f
(theory)h(consists)g(of)h(the)g(kno)n(wledge)f(a)n(v)-5
b(ailable)28 b(to)i(the)g(learning)f(algorithm.)42 b(It)30
b(is)358 3989 y(a)d(\(consisten)n(t\))g(Esc)n(her)f(program.)251
4151 y(2.)42 b Fd(Signatur)l(e)29 b(of)h(the)g(tar)l(get)g(function)p
Fj(.)358 4250 y(The)38 b(target)g(function)h Fg(f)50
b Fj(:)42 b Fg(\033)j Fi(!)c Fg(\034)49 b Fj(is)38 b(the)h(function)h
(whose)e(de\014nition)h(has)f(to)g(b)r(e)i(learned)d(from)358
4350 y(examples.)53 b(The)34 b(sym)n(b)r(ol)f Fg(f)42
b Fj(is)33 b(assumed)g(not)g(to)g(b)r(e)h(in)g(the)g(alphab)r(et)f(of)g
(the)h(bac)n(kground)e(theory)-7 b(.)358 4450 y(The)35
b(t)n(yp)r(e)h Fg(\033)k Fj(can)35 b(b)r(e)h(arbitrarily)e(complex;)39
b(for)c(example,)j(it)e(can)f(b)r(e)i(higher-order.)58
b(Ho)n(w)n(ev)n(er,)36 b Fg(\034)358 4549 y Fj(t)n(ypically)25
b(corresp)r(onds)f(to)i(a)g(v)n(ery)f(simple)h(domain)g(consisting)g
(of)g(just)g(a)g(few)h(elemen)n(ts.)36 b(V)-7 b(ery)26
b(often,)358 4649 y Fg(\034)37 b Fj(is)27 b(the)h(t)n(yp)r(e)g
Fg(o)g Fj(\(the)g(b)r(o)r(oleans\).)251 4811 y(3.)42
b Fd(Examples)p Fj(.)358 4911 y(These)33 b(ha)n(v)n(e)g(the)i(form)e
Fg(f)9 b Fj(\()p Fg(s)p Fj(\))34 b(=)g Fg(t)p Fj(,)i(where)d
Fg(s)h Fj(and)g Fg(t)g Fj(are)f(closed)h(terms.)56 b(T)n(ypically)-7
b(,)35 b Fg(s)f Fj(is)g(a)f(tuple)i(of)358 5010 y(v)-5
b(alues)27 b(and)g Fg(t)h Fj(is)f(a)h(v)-5 b(alue.)251
5172 y(4.)42 b Fd(Pr)l(agma)p Fj(.)358 5272 y(These)28
b(are)h(hin)n(ts)g(and/or)e(directiv)n(es)i(to)g(the)g(learning)f
(algorithm)g(as)h(to)g(the)g(form)g(of)g(the)h(de\014nition)358
5372 y(to)24 b(b)r(e)h(learned.)35 b(F)-7 b(or)24 b(example,)h(one)f
(ma)n(y)g(sp)r(ecify)h(that)g(certain)f(argumen)n(ts)g(of)g(a)h
(predicate)f(are)f(input)358 5471 y(or)30 b(output.)50
b(Similarly)-7 b(,)32 b(one)f(ma)n(y)g(sp)r(ecify)h(the)g(n)n(um)n(b)r
(er)f(of)h(o)r(ccurrences)e(of)h(a)h(predicate)f(\(including)358
5571 y(the)26 b(connectiv)n(es\))f(that)h(ma)n(y)f(app)r(ear)g(in)h
(the)g(induced)g(de\014nition)g(or)f(restrict)g(the)h(complexit)n(y)f
(\(using)358 5670 y(some)i(measure\))f(of)i(the)g(induced)g
(de\014nition.)p eop
%%Page: 3 3
3 2 bop 150 100 a Fh(4)83 b(F)n(ORM)27 b(OF)g(THE)h(INDUCED)g
(DEFINITION)1786 b Fj(3)275 390 y(Let)23 b(us)g(sa)n(y)f(a)h
(de\014nition)g(for)g(the)g(target)f(function)i Fg(f)32
b Fd(c)l(overs)24 b Fj(an)e(example)h Fg(f)9 b Fj(\()p
Fg(s)p Fj(\))23 b(=)g Fg(t)g Fj(if)h(the)f(term)g Fg(f)9
b Fj(\()p Fg(s)p Fj(\))23 b(=)g Fg(t)150 490 y Fj(is)41
b(a)f(logical)g(consequence)f(of)i(the)g(theory)g(consisting)f(of)g
(the)i(bac)n(kground)c(theory)i(together)g(with)i(the)150
589 y(de\014nition)28 b(for)f Fg(f)9 b Fj(.)37 b(Then,)27
b(giv)n(en)g(the)h(ab)r(o)n(v)n(e)e(comp)r(onen)n(ts,)i(the)g
Fd(inductive)i(le)l(arning)g(pr)l(oblem)f Fj(is)f(as)f(follo)n(ws:)150
731 y Fd(Find)j(a)h(de\014nition)f(for)g(the)g(tar)l(get)g(function)g
(which)h(c)l(overs)f(al)t(l)h(the)f(examples)h(and)f(satis\014es)g(the)
g(pr)l(agma)p Fj(.)275 872 y(The)19 b(inductiv)n(e)h(learning)f
(problem)g(is)g(in)n(trinsically)g(a)g(heuristic)h(searc)n(h)e
(problem.)33 b(There)20 b(are)e(p)r(oten)n(tially)150
971 y(man)n(y)23 b(p)r(ossible)h(de\014nitions)g(for)f(the)i(target)e
(function)h(and)g(the)g(space)f(consisting)g(of)h(these)g
(de\014nitions)g(m)n(ust)150 1071 y(b)r(e)30 b(searc)n(hed.)42
b(The)29 b(ma)5 b(jor)29 b(researc)n(h)e(issues)i(are)g(concerned)g
(with)h(\014nding)g(go)r(o)r(d)f(heuristics)g(to)g(reduce)h(the)150
1171 y(amoun)n(t)d(of)h(searc)n(h)e(required)g(to)i(a)f(minim)n(um.)275
1270 y(W)-7 b(e)35 b(conclude)f(this)h(section)f(with)h(a)g(remark)e
(concerning)g(the)i(issue)g(of)f(learning)g(from)g(p)r(ositiv)n(e)h
(data)150 1370 y(only)-7 b(.)35 b(Due)24 b(to)f(some)g(artefacts)g(of)g
(Prolog)e(\(e.g.,)k(closed-w)n(orld)c(assumption,)j(negation)e(as)h
(failure\),)h(learning)150 1469 y(tasks)29 b(ha)n(v)n(e)f
(traditionally)g(b)r(een)i(split)g(in)n(to)f(p)r(ositiv)n(e)h(and)f
(negativ)n(e)f(examples.)42 b(It)30 b(is)f(our)g(con)n(ten)n(tion)g
(that)150 1569 y(suc)n(h)k(a)g(separation)f(is)h(unnatural.)53
b(F)-7 b(unctions,)36 b(including)d(predicates,)h(simply)f(map)h
(inputs)g(to)f(outputs,)150 1669 y(irresp)r(ectiv)n(e)h(of)g(the)h(v)-5
b(alue)35 b(of)g(that)g(output.)59 b(Hence,)36 b(induction)g(in)f(our)f
(framew)n(ork)e(learns)i(the)h(c)n(harac-)150 1768 y(terisation)29
b(of)g(one)g(output)i(class)d(at)i(a)f(time,)h(whilst)g(all)g(other)f
(classes)f(are)g(used)i(as)f(coun)n(ter-examples)f(for)150
1868 y(purp)r(oses)f(of)g(constraining)f(the)i(searc)n(h)f(for)g(a)g
(solution.)150 2143 y Fk(4)135 b(F)-11 b(orm)44 b(of)h(the)h(Induced)e
(De\014nition)150 2324 y Fj(W)-7 b(e)28 b(no)n(w)f(explain)g(the)h
(form)f(that)h(the)g(induced)g(de\014nition)g(of)g(the)g(target)f
(function)h(tak)n(es.)275 2424 y(An)d(imp)r(ortan)n(t)g(decision)g
(whic)n(h)g(has)g(to)g(b)r(e)h(made)f(concerns)f(the)i(n)n(um)n(b)r(er)
f(of)g(statemen)n(ts)g(whic)n(h)g(should)150 2524 y(app)r(ear)e(in)g
(the)h(de\014nition.)36 b(Supp)r(ose)24 b Fg(f)31 b Fj(:)23
b Fg(\033)k Fi(!)c Fg(\034)9 b Fj(,)25 b(where)e Fg(\033)k
Fj(is)d(a)f(pro)r(duct)g Fg(\033)2574 2536 y Ff(1)2622
2524 y Fi(\002)10 b Fg(:)k(:)g(:)c Fi(\002)g Fg(\033)2926
2536 y Fe(m)2989 2524 y Fj(\()p Fg(m)24 b Fi(\025)e Fj(1\).)36
b(Then)23 b(one)150 2623 y(c)n(hoice)h(is)g(that)h(the)g(de\014nition)f
(should)h(consist)f(of)g(exactly)g(one)g(statemen)n(t)g(and)h(the)g
(head)f(of)g(the)h(statemen)n(t)150 2723 y(should)i(b)r(e)h(of)g(the)g
(form)150 2823 y Fg(f)9 b Fj(\()p Fg(x)279 2835 y Ff(1)317
2823 y Fg(;)14 b(:)g(:)g(:)f(;)h(x)548 2835 y Fe(m)612
2823 y Fj(\))150 2922 y(where)44 b Fg(x)454 2934 y Ff(1)491
2922 y Fg(;)14 b(:)g(:)g(:)g(;)g(x)723 2934 y Fe(m)831
2922 y Fj(are)43 b(distinct)h(v)-5 b(ariables.)86 b(Outside)44
b(applications)f(to)h(program)e(syn)n(thesis,)48 b(a)43
b(\(non-)150 3022 y(recursiv)n(e\))27 b(de\014nition)h(con)n(taining)f
(a)h(single)f(statemen)n(t)i(with)f(a)g(most)g(general)e(head)i(is)g
(the)h(most)f(common)150 3121 y(form)f(of)h(induced)g(de\014nition.)275
3221 y(F)-7 b(or)32 b(program)f(syn)n(thesis,)i(induced)h
(de\014nitions)f(usually)f(ha)n(v)n(e)g(more)g(than)h(one)g(statemen)n
(t)g(\(and)g(they)150 3321 y(are)39 b(usually)g(recursiv)n(e\).)72
b(The)40 b(reason)e(is)i(that)g(functions)g(op)r(erate)f(on)g(data)h(t)
n(yp)r(es)f(with)i(sev)n(eral)d(data)150 3420 y(constructors)21
b(and)i(it)h(is)f(natural)f(to)h(structure)g(de\014nitions)g(so)f(that)
i(there)f(is)g(a)f(separate)g(statemen)n(t)h(for)g(eac)n(h)150
3520 y(data)h(constructor.)35 b(F)-7 b(or)24 b(example,)h(here)f(are)f
(the)j(Esc)n(her)d(de\014nitions)h(for)h(the)g Fc(member)p
Fj(,)e Fc(concat)p Fj(,)g(and)h Fc(split)150 3620 y Fj(functions.)150
3786 y Fc(member)41 b(::)i(\(a,)f([a]\))g(->)h(Bool;)150
3885 y(member\(x,)d([]\))i(=)324 3985 y(False;)150 4084
y(member\(x,)e(y)j(:)g(z\))g(=)324 4184 y(\(x)g(==)g(y\))g(||)f
(member\(x,)e(z\);)150 4383 y(concat)h(::)i(\([a],)e([a]\))h(->)h([a];)
150 4483 y(concat\([],)c(x\))k(=)324 4583 y(x;)150 4682
y(concat\(x)d(:)j(y,)g(z\))g(=)324 4782 y(x)h(:)f(concat\(y,)d(z\);)150
4981 y(split)i(::)g(\([a],)g([a],)g([a]\))g(->)g(Bool;)150
5081 y(split\([],)e(x,)j(y\))f(=)324 5180 y(x)i(==)e([])h(&&)g(y)g(==)g
([];)150 5280 y(split\(x)e(:)i(y,)g(v,)f(w\))h(=)324
5380 y(\(v)g(==)g([])g(&&)f(w)i(==)e(x)h(:)h(y\))e(||)h(exists)e([z])i
(\(v)f(==)h(x)g(:)g(z)h(&&)e(split\(y,)f(z,)h(w\)\);)150
5546 y Fj(The)37 b(pattern)g(to)g(these)f(de\014nitions,)k(whic)n(h)d
(is)g(t)n(ypical)f(of)h(Esc)n(her)e(co)r(de,)k(is)e(that)g(one)g
(argumen)n(t)f(of)h(the)150 5645 y(function)c(is)g(c)n(hosen)f(to)g
(distinguish)h(the)g(cases)e(giv)n(en)h(b)n(y)h(the)g(di\013eren)n(t)g
(data)f(constructors.)50 b(In)33 b(the)g(case)p eop
%%Page: 4 4
4 3 bop 150 100 a Fh(4)83 b(F)n(ORM)27 b(OF)g(THE)h(INDUCED)g
(DEFINITION)1786 b Fj(4)150 390 y(of)35 b(lists,)i(there)f(are)e(t)n(w)
n(o)g(data)h(constructors,)h Fc([])e Fj(for)h(the)g(empt)n(y)h(list)f
(and)g Fc(:)52 b Fj(for)35 b(non-empt)n(y)g(lists.)60
b(F)-7 b(or)150 490 y(eac)n(h)35 b(statemen)n(t,)i(the)e(distinguished)
h(argumen)n(t)e(con)n(tains)g(a)h(term)h(whic)n(h)f(has)g(the)g
(corresp)r(onding)f(data)150 589 y(constructor)24 b(at)i(the)h(top)f
(lev)n(el)f(with)i(distinct)f(v)-5 b(ariables)25 b(as)g(argumen)n(ts,)g
(while)i(all)e(other)h(argumen)n(ts)e(in)j(the)150 689
y(head)32 b(of)g(the)g(statemen)n(t)g(are)f(distinct)i(v)-5
b(ariables.)49 b(Another)32 b(imp)r(ortan)n(t)g(asp)r(ect)g(of)g(the)g
(ab)r(o)n(v)n(e)f(de\014nitions)150 789 y(is)36 b(that)h(the)f
(recursiv)n(e)f(statemen)n(t)h(corresp)r(onds)f(to)h(the)g
Fc(:)54 b Fj(data)36 b(constructor)f(and)h(the)g(base)g(statemen)n(t)
150 888 y(corresp)r(onds)23 b(to)j(the)f Fc([])g Fj(data)g
(constructor.)34 b(\(By)26 b(the)f(w)n(a)n(y)-7 b(,)25
b(this)g(is)h Fd(not)f Fj(true)g(of)g(the)h(usual)f(de\014nition)g(of)h
(the)150 988 y Fc(member)f Fj(predicate)i(in)h(Prolog!\))275
1088 y(The)21 b(algorithm)g(induces)h(de\014nitions)f(in)h(this)g(form)
g(b)n(y)f(\014rst)h(c)n(ho)r(osing)e(the)i(distinguished)g(argumen)n(t)
e(and)150 1187 y(then)28 b(partitioning)f(the)h(examples)f(according)f
(to)h(the)i(constructor)d(app)r(earing)g(in)i(them)g(in)g(this)g
(argumen)n(t.)150 1287 y(Eac)n(h)40 b(statemen)n(t)h(is)g(then)h
(learned)e(indep)r(enden)n(tly)-7 b(,)45 b(except)c(for)g(the)g(con)n
(tribution)g(previously)f(learned)150 1386 y(statemen)n(ts)28
b(mak)n(e)f(when)i(c)n(hec)n(king)e(examples.)38 b(As)29
b(an)f(example,)g(supp)r(ose)g(w)n(e)g(w)n(an)n(t)f(to)h(learn)g(the)g
Fc(member)150 1486 y Fj(function)g(ab)r(o)n(v)n(e)e(and)i(the)g
(examples)f(are)150 1645 y Fc(member\(2,)40 b([]\))i(=)h(False;)150
1745 y(member\(1,)d([1,2]\))h(=)i(True;)150 1845 y(member\(1,)d
([2,3,4]\))g(=)j(False;)150 1944 y(member\(4,)d([]\))i(=)h(False;)150
2044 y(member\(2,)d([1,2,3]\))g(=)j(True;)150 2203 y
Fj(Then)30 b(the)g(algorithm)e(partitions)h(the)g(examples)g(according)
f(to)h(whether)h(the)g(second)e(argumen)n(t)h(has)g(a)g
Fc([])150 2303 y Fj(or)e Fc(:)36 b Fj(at)28 b(the)g(top)f(lev)n(el.)37
b(Th)n(us)27 b(the)h(examples)150 2462 y Fc(member\(2,)40
b([]\))i(=)h(False;)150 2562 y(member\(4,)d([]\))i(=)h(False;)150
2721 y Fj(are)27 b(used)g(to)h(learn)e(the)i(base)f(statemen)n(t)150
2881 y Fc(member\(x,)40 b([]\))i(=)h(False;)150 3040
y Fj(and)27 b(the)h(examples)150 3200 y Fc(member\(1,)40
b([1,2]\))h(=)i(True;)150 3299 y(member\(1,)d([2,3,4]\))g(=)j(False;)
150 3399 y(member\(2,)d([1,2,3]\))g(=)j(True;)150 3558
y Fj(are)27 b(used)g(to)h(learn)e(the)i(recursiv)n(e)e(statemen)n(t)i
(in)g(the)g(form)150 3718 y Fc(member\(x,)40 b(y)j(:)g(z\))g(=)g(if)g
(x)g(==)g(y)g(then)f(True)g(else)g(if)h(member\(x,)c(z\))k(then)f(True)
g(else)g(False;)150 3877 y Fj(from)30 b(whic)n(h)h(the)g(simpler)f
(form)g(in)h(the)g(de\014nition)g(of)g Fc(member)d Fj(can)j(easily)e(b)
r(e)i(obtained.)46 b(When)31 b(c)n(hec)n(king)150 3977
y(examples)h(while)g(learning)g(the)h(recursiv)n(e)d(statemen)n(t,)k
(the)f(base)f(statemen)n(t)g(is)h(a)n(v)-5 b(ailable)31
b(for)h(use)g(and,)i(in)150 4076 y(fact,)28 b(is)f(essen)n(tial.)275
4176 y(Ha)n(ving)20 b(discussed)g(the)h(form)g(the)g(head)g(of)g(a)f
(statemen)n(t)h(can)g(tak)n(e,)g(w)n(e)g(no)n(w)f(turn)h(to)g(the)g(b)r
(o)r(dy)-7 b(.)35 b(Consider)150 4276 y(a)28 b(target)g(function)h
Fg(f)k Fj(:)25 b Fg(\033)j Fi(!)c Fg(\034)9 b Fj(.)40
b(Supp)r(ose)29 b(the)g(head)f(of)h(the)g(statemen)n(t)f(to)g(b)r(e)h
(learned)f(has)g(the)h(form)f Fg(f)9 b Fj(\()p Fg(r)r
Fj(\),)150 4375 y(where)38 b Fg(r)j Fj(is)d(a)g(term)h(of)f(the)h(form)
f(describ)r(ed)g(ab)r(o)n(v)n(e,)i(and)e(that)h(the)g(examples)e(ha)n
(v)n(e)h(b)r(een)g(partitioned)150 4475 y(appropriately)-7
b(.)35 b(W)-7 b(e)28 b(consider)f(one)g(suc)n(h)g(head)g(and)h(class)f
(of)g(examples)g(in)h(what)f(follo)n(ws.)275 4575 y(W)-7
b(e)29 b(assume)g(that)h(there)f(are)f(\014nitely)i(man)n(y)f(v)-5
b(alues)29 b(of)g(t)n(yp)r(e)h Fg(\034)9 b Fj(.)42 b(First)30
b(w)n(e)f(c)n(ho)r(ose)f(one)h(of)g(these)g(v)-5 b(alues)150
4674 y(as)33 b(the)h Fd(default)h Fj(v)-5 b(alue.)55
b(A)34 b(go)r(o)r(d)f(c)n(hoice)g(for)g(the)h(default)g(could)g(b)r(e)g
(a)f(v)-5 b(alue)34 b(whic)n(h)f(do)r(es)h(not)g(app)r(ear)e(on)150
4774 y(the)d(righ)n(t)f(hand)g(side)h(of)f(an)n(y)g(of)g(the)h
(examples,)f(if)h(suc)n(h)g(a)f(v)-5 b(alue)28 b(exists.)40
b(Otherwise,)27 b(one)i(of)f(the)h(v)-5 b(alues)28 b(is)150
4873 y(c)n(hosen)i(arbitrarily)-7 b(.)44 b(When)32 b
Fg(\034)40 b Fj(is)31 b Fg(o)p Fj(,)h(the)f(usual)f(c)n(hoice)g(for)h
(the)g(default)g(v)-5 b(alue)31 b(is)f Fd(F)-6 b(alse)p
Fj(.)47 b(In)31 b(what)g(follo)n(ws,)150 4973 y(w)n(e)c(denote)h(the)g
(default)g(v)-5 b(alue)27 b(b)n(y)h Fg(t)1322 4985 y
Ff(0)1359 4973 y Fj(.)37 b(The)27 b(role)g(of)h(the)g(default)g(v)-5
b(alue)27 b(will)h(b)r(ecome)f(clear)g(shortly)-7 b(.)275
5073 y(The)20 b(learning)f(algorithm)g(b)r(elo)n(w)g(constructs)h(form)
n(ulas)f Fg(E)2129 5085 y Ff(1)2166 5073 y Fg(;)14 b(:)g(:)g(:)g(;)g(E)
2412 5085 y Fe(n)2457 5073 y Fj(,)22 b(where)d(eac)n(h)h
Fg(E)2975 5085 y Fe(i)3023 5073 y Fj(is)g(a)g(form)n(ula)f(whose)150
5172 y(free)29 b(v)-5 b(ariables)28 b(all)h(app)r(ear)f(in)i(the)f
(head)g Fg(f)9 b Fj(\()p Fg(r)r Fj(\).)43 b(The)29 b(alphab)r(et)g
(used)h(to)f(construct)f(eac)n(h)h Fg(E)3140 5184 y Fe(i)3197
5172 y Fj(is)g(that)h(of)f(the)150 5272 y(bac)n(kground)c(theory)-7
b(,)26 b(p)r(ossibly)g(together)g(with)h(the)h(sym)n(b)r(ol)e
Fg(f)9 b Fj(.)36 b(If)27 b Fg(f)36 b Fj(is)26 b(included,)i(a)e
(recursiv)n(e)f(de\014nition)i(is)150 5372 y(p)r(ossible;)34
b(otherwise,)e(the)g(de\014nition)g(of)g Fg(f)41 b Fj(will)32
b(b)r(e)g(non-recursiv)n(e.)48 b(Then)32 b(the)g(induced)g(statemen)n
(t)g(for)f Fg(f)150 5471 y Fj(has)c(the)h(form:)150 5571
y Fg(f)9 b Fj(\()p Fg(r)r Fj(\))24 b(=)344 5670 y(if)k
Fg(E)481 5682 y Ff(1)546 5670 y Fj(then)g Fg(t)765 5682
y Ff(1)830 5670 y Fj(else)p eop
%%Page: 5 5
5 4 bop 150 100 a Fh(5)83 b(LEARNING)28 b(ALGORITHM)2346
b Fj(5)344 390 y(if)28 b Fg(E)481 402 y Ff(2)546 390
y Fj(then)g Fg(t)765 402 y Ff(2)830 390 y Fj(else)344
470 y(.)344 503 y(.)344 536 y(.)344 636 y(if)g Fg(E)481
648 y Fe(n)554 636 y Fj(then)g Fg(t)773 648 y Fe(n)846
636 y Fj(else)f Fg(t)1033 648 y Ff(0)1070 636 y Fj(.)150
777 y(where)36 b Fg(t)429 789 y Ff(1)466 777 y Fg(;)14
b(:)g(:)g(:)f(;)h(t)680 789 y Fe(n)762 777 y Fj(are)35
b(\(not)h(necessarily)f(distinct\))i(non-default)f(v)-5
b(alues.)62 b(The)37 b(induced)f(de\014nition)h(for)e
Fg(f)150 876 y Fj(consists)27 b(of)g(all)h(suc)n(h)f(statemen)n(ts)g
(for)g(all)h(the)g(p)r(ossibilities)f(for)g Fg(r)r Fj(.)275
976 y(The)22 b(in)n(ten)n(tion)h(is)f(that)h(eac)n(h)e(form)n(ula)h
Fg(E)1581 988 y Fe(i)1631 976 y Fj(in)h(an)f(induced)h(statemen)n(t)g
(\\includes")e(some)h(of)h(the)g(examples)150 1076 y(\(in)c(the)g
(corresp)r(onding)e(class)h(of)g(examples\))g(whic)n(h)h(map)f(to)h
Fg(t)2108 1088 y Fe(i)2136 1076 y Fj(.)34 b(Also)18 b
Fg(E)2432 1088 y Fe(i)2478 1076 y Fj(should)h(\\exclude")e(all)i(the)g
(examples)150 1175 y(whic)n(h)32 b(do)f(not)h(map)f(to)h
Fg(t)987 1187 y Fe(i)1015 1175 y Fj(.)49 b(F)-7 b(urthermore,)31
b(the)i Fg(E)1805 1187 y Fe(i)1864 1175 y Fj(together)e(should)h
(\\include")f(all)g(the)h(examples)f(whic)n(h)150 1275
y(do)i(not)g(map)g(to)g Fg(t)751 1287 y Ff(0)788 1275
y Fj(.)54 b(The)33 b(role)f(of)h(the)g(default)h(v)-5
b(alue)33 b Fg(t)1991 1287 y Ff(0)2061 1275 y Fj(is)g(simply)h(to)f
(pro)n(vide)e(a)i(function)h(v)-5 b(alue)33 b(for)f(all)150
1374 y(p)r(oin)n(ts)c(not)g(already)e(co)n(v)n(ered)g(b)n(y)i(some)f
Fg(E)1524 1386 y Ff(1)1562 1374 y Fg(;)14 b(:)g(:)g(:)f(;)h(E)1807
1386 y Fe(n)1853 1374 y Fj(.)37 b(Altogether,)28 b(the)g
Fg(E)2554 1386 y Fe(i)2610 1374 y Fj(pro)n(vide)f(a)g(general,)g(in)n
(tensional)150 1474 y(classi\014cation)f(of)i(the)g(examples.)275
1574 y(In)41 b(some)g(applications,)j(there)d(ma)n(y)g(b)r(e)g
(insu\016cien)n(t)h(examples)f(to)g(exercise)f(all)h(the)h(v)-5
b(alues)41 b(in)h(the)150 1673 y(co)r(domain)29 b(of)h
Fg(f)9 b Fj(,)29 b(that)h(is,)h(there)e(ma)n(y)g(b)r(e)h(a)f
(\(non-default\))h Fg(t)2138 1685 y Fe(i)2196 1673 y
Fj(with)g(no)f(examples)g(mapping)h(to)f Fg(t)3341 1685
y Fe(i)3369 1673 y Fj(.)43 b(In)30 b(this)150 1773 y(case,)25
b(w)n(e)g(can)g(simply)g(de\014ne)g Fg(E)1178 1785 y
Fe(i)1232 1773 y Fj(to)g(b)r(e)h Fd(F)-6 b(alse)25 b
Fj(whic)n(h)h(has)e(the)i(same)f(e\013ect)g(as)g(omitting)g(the)h
(corresp)r(onding)150 1873 y(comp)r(onen)n(t)150 1972
y(if)i Fg(E)287 1984 y Fe(i)343 1972 y Fj(then)g Fg(t)562
1984 y Fe(i)617 1972 y Fj(else)150 2072 y(from)f(the)h(induced)g
(statemen)n(t.)275 2171 y(T)-7 b(o)29 b(connect)i(our)e(approac)n(h)g
(with)h(the)h(usual)f(inductiv)n(e)h(logic)e(programming)f(approac)n
(h,)h(consider)h(the)150 2271 y(sp)r(ecial)g(case)g(of)h(learning)e(a)i
(target)e(predicate)h Fg(p)e Fj(:)h Fg(\033)i Fi(!)d
Fg(o)p Fj(,)k(where)e Fg(F)12 b(al)r(se)30 b Fj(is)g(the)h(default)h(v)
-5 b(alue.)46 b(Then)30 b(an)150 2371 y(induced)e(statemen)n(t)g(tak)n
(es)e(the)i(form)150 2512 y Fg(p)p Fj(\()p Fg(r)r Fj(\))c(=)j(if)i
Fg(E)549 2524 y Ff(1)614 2512 y Fj(then)f Fd(T)-6 b(rue)27
b Fj(else)h(...)37 b(if)28 b Fg(E)1402 2524 y Fe(n)1475
2512 y Fj(then)g Fd(T)-6 b(rue)27 b Fj(else)h Fd(F)-6
b(alse)150 2653 y Fj(whic)n(h)28 b(simpli\014es)f(to)150
2794 y Fg(p)p Fj(\()p Fg(r)r Fj(\))d(=)f Fg(E)468 2806
y Ff(1)524 2794 y Fi(_)c Fg(:)14 b(:)g(:)k Fi(_)h Fg(E)848
2806 y Fe(n)893 2794 y Fj(.)150 2935 y(Eac)n(h)37 b Fg(E)428
2947 y Fe(i)495 2935 y Fj(should)h(include)h(some)f(of)g(the)h
(examples)f(whic)n(h)g(map)h(to)f Fd(T)-6 b(rue)39 b
Fj(and)f(should)g(exclude)g(all)h(the)150 3035 y(examples)34
b(whic)n(h)h(map)g(to)g Fd(F)-6 b(alse)p Fj(.)59 b(The)35
b Fg(E)1565 3047 y Fe(i)1628 3035 y Fj(together)f(should)g(include)i
(all)e(the)h(examples)g(whic)n(h)f(map)h(to)150 3135
y Fd(T)-6 b(rue)p Fj(.)37 b(W)-7 b(e)28 b(can)f(write)g(this)h
(statemen)n(t)g(in)g(logic)e(programming)g(form)h(as)150
3276 y Fg(p)p Fj(\()p Fg(r)r Fj(\))d Fi( )f Fg(E)486
3288 y Ff(1)150 3375 y Fg(p)p Fj(\()p Fg(r)r Fj(\))h
Fi( )f Fg(E)486 3387 y Ff(2)344 3463 y Fj(.)344 3496
y(.)344 3529 y(.)150 3629 y Fg(p)p Fj(\()p Fg(r)r Fj(\))h
Fi( )f Fg(E)486 3641 y Fe(n)150 3770 y Fj(from)32 b(whic)n(h)g(w)n(e)g
(can)f(reco)n(v)n(er)f(the)i(Esc)n(her)f(form)h(b)n(y)g(using)f(the)i
(Closed)e(W)-7 b(orld)32 b(Assumption)g(to)g(turn)h(the)150
3870 y(implication)28 b(bac)n(k)e(to)i(an)f(equalit)n(y)-7
b(.)275 3969 y(Note)22 b(that)h(one)f(can)g(equally)g(c)n(ho)r(ose)f
Fd(T)-6 b(rue)22 b Fj(as)g(the)h(default)g(v)-5 b(alue.)35
b(In)23 b(this)g(case,)f(the)h(induced)g(statemen)n(t)150
4069 y(tak)n(es)k(the)h(form)150 4210 y Fg(p)p Fj(\()p
Fg(r)r Fj(\))c(=)j(if)i Fg(E)549 4222 y Ff(1)614 4210
y Fj(then)f Fd(F)-6 b(alse)28 b Fj(else)f(...)37 b(if)29
b Fg(E)1415 4222 y Fe(n)1488 4210 y Fj(then)f Fd(F)-6
b(alse)28 b Fj(else)f Fd(T)-6 b(rue)150 4351 y Fj(whic)n(h)28
b(simpli\014es)f(to)150 4492 y Fg(p)p Fj(\()p Fg(r)r
Fj(\))d(=)f Fi(:)p Fg(E)523 4504 y Ff(1)579 4492 y Fi(^)c
Fg(:)14 b(:)g(:)k Fi(^)h(:)p Fg(E)958 4504 y Fe(n)1004
4492 y Fj(.)150 4767 y Fk(5)135 b(Learning)45 b(Algorithm)150
4949 y Fj(In)28 b(this)g(section,)f(w)n(e)g(discuss)g(the)h(general)e
(form)i(of)f(the)h(learning)f(algorithm.)275 5048 y(As)32
b(already)e(p)r(oin)n(ted)i(out,)h(learning)e(is)h(in)n(trinsically)f
(a)g(searc)n(h)g(problem)g(for)g(whic)n(h)h(the)g(searc)n(h)f(space)150
5148 y(is)38 b(often)g(h)n(uge.)66 b(F)-7 b(or)37 b(example,)j(when)e
(learning)f(a)g(statemen)n(t)h Fg(p)p Fj(\()p Fg(r)r
Fj(\))j(=)e Fg(E)k Fj(for)37 b(a)h(predicate)f Fg(p)i
Fj(:)h Fg(\033)k Fi(!)c Fg(o)p Fj(,)150 5248 y(the)32
b(algorithm)f(has)h(to)g(searc)n(h)f(through)g(a)h(large)e(n)n(um)n(b)r
(er)i(of)g(p)r(ossible)g(c)n(hoices)f(for)h Fg(E)37 b
Fj(to)32 b(\014nd)g(one)g(whic)n(h)150 5347 y(includes)24
b(the)g(examples)f(mapping)g(to)h Fd(T)-6 b(rue)24 b
Fj(and)f(excludes)g(the)i(examples)e(mapping)g(to)h Fd(F)-6
b(alse)24 b Fj(\(and)g(satis\014es)150 5447 y(the)g(pragma\).)34
b(This)24 b(problem)f(is)h(already)e(di\016cult)i(for)g(the)g(usual)f
(case)g(when)h Fg(E)29 b Fj(is)23 b(a)g(conjunction)h(of)g(atoms)150
5547 y(and)i(y)n(et)g(w)n(e)g(are)f(prop)r(osing)g(to)h(add)g(further)g
(syn)n(tax)f(to)h(the)g(language,)f(so)h(it)g(is)g(lik)n(ely)g(that)g
(great)f(care)g(and)150 5646 y(ingen)n(uit)n(y)i(will)h(b)r(e)g(needed)
g(to)f(mak)n(e)g(the)h(task)f(feasible.)p eop
%%Page: 6 6
6 5 bop 150 100 a Fh(5)83 b(LEARNING)28 b(ALGORITHM)2346
b Fj(6)275 390 y(The)25 b(searc)n(h)e(for)h(a)h(suitable)g
Fg(E)30 b Fj(is)25 b(essen)n(tially)f(a)g(heuristic)h(searc)n(h)e
(problem)i(for)f(whic)n(h)h(the)g(standard)f(A*)150 490
y(algorithm)31 b(can)i(b)r(e)g(emplo)n(y)n(ed.)50 b(W)-7
b(e)33 b(in)n(tro)r(duce)f(a)h(searc)n(h)e(space)g(in)i(whic)n(h)g
(individual)f(no)r(des)h(corresp)r(ond)150 589 y(to)e(form)n(ulas.)47
b(The)31 b(start)g(no)r(de)g(is)g(the)h(form)n(ula)e
Fd(T)-6 b(rue)31 b Fj(and)g(the)h(goal)e(no)r(des)h(are)f(an)n(y)h
(form)n(ulas)f(satisfying)150 689 y(the)38 b(conditions)g(stated)f(ab)r
(o)n(v)n(e.)66 b(V)-7 b(arious)37 b(op)r(erators)f(tak)n(e)h(a)g(form)n
(ula)g(and)h(expand)f(it)i(to)e(a)h(n)n(um)n(b)r(er)f(of)150
789 y(successor)31 b(form)n(ulas)h(whic)n(h)h(then)h(need)f(to)g(b)r(e)
h(in)n(v)n(estigated.)52 b(The)33 b(c)n(hoice)f(of)h(whic)n(h)g(form)n
(ula)f(to)h(expand)150 888 y(next)25 b(is)g(guided)g(b)n(y)g(a)g
(heuristic)g(function.)36 b(The)25 b(form)n(ula)g(with)g(the)h(lo)n(w)n
(est)e(heuristic)h(v)-5 b(alue)24 b(\(indicating)i(the)150
988 y(highest)33 b(promise\))h(is)f(c)n(hosen.)54 b(The)34
b(crucial)f(comp)r(onen)n(t)g(of)h(the)g(heuristic)f(function)h(is)g
(pro)n(vided)e(b)n(y)i(the)150 1088 y(examples.)h(The)23
b(basic)g(idea)h(is)f(that)h(a)f(form)n(ula)g(sho)n(ws)f(more)h
(promise)g(if)h(it)g(includes)g(more)e(of)i(the)g(examples)150
1187 y(it)33 b(is)g(supp)r(osed)g(to)g(include)h(and)e(excludes)h(more)
f(of)h(the)h(examples)e(it)i(is)f(supp)r(osed)f(to)h(exclude,)i(and)e
(the)150 1287 y(heuristic)27 b(function)i(should)e(re\015ect)g(this.)
275 1386 y(An)34 b(outline)f(of)h(the)g(learning)e(algorithm)h(app)r
(ears)f(in)i(Figure)f(1)g(b)r(elo)n(w.)54 b(A)n(t)34
b(Bristol,)g(w)n(e)g(ha)n(v)n(e)e(b)r(egun)150 1486 y(to)g(implemen)n
(t)h(a)f(learning)f(system)h(based)g(on)f(this)i(algorithm.)50
b(Curren)n(tly)-7 b(,)32 b(the)h(system)f(is)g(able)g(to)g(learn)150
1586 y(simple)c(de\014nitions)f(suc)n(h)h(as)f(the)h(one)f(for)g
Fc(member)e Fj(ab)r(o)n(v)n(e)h(from)i(a)f(few)h(examples.)150
1754 y Fb(Input)g Fj(:)37 b(bac)n(kground)26 b(theory)h
Fi(B)s Fj(,)f(signature)h Fg(\033)f Fi(!)d Fg(\034)38
b Fj(of)27 b(the)h(target)f(function)h Fg(f)9 b Fj(,)27
b(and)h(examples)f Fi(E)7 b Fj(.)150 1853 y Fb(Output)28
b Fj(:)37 b(de\014nition)28 b Fg(D)h Fj(for)f Fg(f)9
b Fj(.)150 1994 y(let)28 b Fg(D)339 2006 y Ff(0)404 1994
y Fj(b)r(e)g Fi(;)p Fj(;)150 2094 y(c)n(ho)r(ose)e(a)i(default)g(v)-5
b(alue)27 b Fg(t)1006 2106 y Ff(0)1071 2094 y Fj(of)h(t)n(yp)r(e)f
Fg(\034)9 b Fj(;)150 2194 y(let)28 b Fg(V)46 b Fj(b)r(e)28
b(the)g(set)g(of)g(non-default)f(v)-5 b(alues)27 b(of)h(t)n(yp)r(e)g
Fg(\034)9 b Fj(;)150 2293 y(c)n(ho)r(ose)26 b(the)i(argumen)n(ts)f
Fg(r)998 2305 y Ff(1)1035 2293 y Fg(;)14 b(:)g(:)g(:)g(;)g(r)1257
2305 y Fe(p)1333 2293 y Fj(\()p Fg(p)23 b Fi(\025)f Fj(1\))28
b(of)f(the)h(heads)f(of)h(the)g(statemen)n(ts)f(in)h
Fg(D)r Fj(;)150 2393 y(for)f Fg(j)h Fj(=)23 b(1)p Fg(;)14
b(:)g(:)g(:)f(;)h(p)27 b Fj(do)g Fi(f)261 2493 y Fj(let)h
Fi(R)451 2505 y Fe(j)514 2493 y Fj(b)r(e)g(the)g(set)f(of)h(examples)f
(in)h Fi(E)34 b Fj(corresp)r(onding)26 b(to)i Fg(r)2200
2505 y Fe(j)2235 2493 y Fj(;)261 2592 y(let)g Fi(D)445
2604 y Fe(j)507 2592 y Fj(b)r(e)g(the)g(set)g(of)f(examples)g(in)h
Fi(R)1512 2604 y Fe(j)1575 2592 y Fj(ha)n(ving)f(the)h(form)f
Fg(f)9 b Fj(\()p Fg(s)p Fj(\))23 b(=)g Fg(t)2476 2604
y Ff(0)2513 2592 y Fj(,)28 b(for)f(some)g Fg(s)p Fj(;)261
2692 y(let)h Fi(C)425 2704 y Fe(j)487 2692 y Fj(b)r(e)g
Fi(;)p Fj(;)261 2792 y(let)g Fg(i)f Fj(b)r(e)h(0;)261
2891 y(while)f Fi(R)547 2903 y Fe(j)601 2891 y Fi(n)18
b(D)725 2903 y Fe(j)783 2891 y Fi(6)p Fj(=)23 b Fi(;)k
Fj(do)g Fi(f)344 2991 y Fj(let)h Fg(i)f Fj(b)r(e)h Fg(i)18
b Fj(+)g(1;)344 3090 y(\014nd)28 b(a)f Fg(t)609 3102
y Fe(i)660 3090 y Fi(2)c Fg(V)c Fj(,)28 b(a)f(form)n(ula)f
Fg(E)1290 3102 y Fe(i)1318 3090 y Fj(,)i(and)g(a)f(non-empt)n(y)g(set)g
Fi(N)2224 3060 y Fe(i)2212 3112 y(j)2276 3090 y Fi(\022)22
b(R)2433 3102 y Fe(j)2487 3090 y Fi(n)c(D)2611 3102 y
Fe(j)2674 3090 y Fj(of)27 b(examples)g(ha)n(ving)g(the)344
3190 y(form)g Fg(f)9 b Fj(\()p Fg(s)p Fj(\))23 b(=)g
Fg(t)834 3202 y Fe(i)861 3190 y Fj(,)28 b(for)f(some)g
Fg(s)p Fj(,)h(suc)n(h)f(that)443 3290 y(\(i\))i(for)e(all)g
Fg(f)9 b Fj(\()p Fg(s)p Fj(\))23 b(=)g Fg(t)g Fi(2)g(C)1240
3302 y Fe(j)1293 3290 y Fi([)c(N)1447 3260 y Fe(i)1435
3311 y(j)1475 3290 y Fj(,)28 b Fg(f)9 b Fj(\()p Fg(s)p
Fj(\))28 b(reduces)f(to)g Fg(t)h Fj(using)f(the)h(program)d
Fi(P)7 b Fj(,)28 b(and)427 3399 y(\(ii\))g(for)f(all)g
Fg(f)9 b Fj(\()p Fg(s)p Fj(\))24 b(=)e Fg(t)h Fi(2)h(R)1273
3411 y Fe(j)1326 3399 y Fi(n)18 b(N)1466 3369 y Fe(i)1454
3421 y(j)1494 3399 y Fj(,)28 b Fg(f)9 b Fj(\()p Fg(s)p
Fj(\))28 b(reduces)f(to)g Fg(t)2153 3411 y Ff(0)2218
3399 y Fj(using)g(the)h(program)e Fi(P)344 3499 y Fj(where)h
Fi(P)34 b Fj(is)28 b Fi(B)20 b([)f Fg(D)978 3511 y Fe(j)s
Fa(\000)p Ff(1)1116 3499 y Fi([)g(f)p Fg(f)9 b Fj(\()p
Fg(r)1351 3511 y Fe(j)1386 3499 y Fj(\))28 b(=)f(if)h
Fg(E)1675 3511 y Ff(1)1740 3499 y Fj(then)g Fg(t)1959
3511 y Ff(1)2024 3499 y Fj(else)f(...)37 b(if)29 b Fg(E)2425
3511 y Fe(i)2480 3499 y Fj(then)f Fg(t)2699 3511 y Fe(i)2755
3499 y Fj(else)f Fg(t)2942 3511 y Ff(0)2979 3499 y Fi(g)p
Fj(;)344 3599 y(let)h Fi(C)508 3611 y Fe(j)570 3599 y
Fj(b)r(e)g Fi(C)727 3611 y Fe(j)780 3599 y Fi([)19 b(N)934
3569 y Fe(i)922 3620 y(j)962 3599 y Fj(;)344 3708 y(let)28
b Fi(R)534 3720 y Fe(j)597 3708 y Fj(b)r(e)g Fi(R)780
3720 y Fe(j)833 3708 y Fi(n)18 b(N)973 3678 y Fe(i)961
3730 y(j)1001 3708 y Fj(;)261 3808 y Fi(g)261 3908 y
Fj(let)28 b Fg(D)450 3920 y Fe(j)512 3908 y Fj(b)r(e)g
Fg(D)694 3920 y Fe(j)s Fa(\000)p Ff(1)832 3908 y Fi([)19
b(f)p Fg(f)9 b Fj(\()p Fg(r)1067 3920 y Fe(j)1102 3908
y Fj(\))28 b(=)f(if)h Fg(E)1391 3920 y Ff(1)1456 3908
y Fj(then)g Fg(t)1675 3920 y Ff(1)1740 3908 y Fj(else)g(if)g
Fg(E)2035 3920 y Ff(2)2100 3908 y Fj(then)g Fg(t)2319
3920 y Ff(2)2384 3908 y Fj(else)f(...)37 b(if)28 b Fg(E)2784
3920 y Fe(i)2840 3908 y Fj(then)g Fg(t)3059 3920 y Fe(i)3114
3908 y Fj(else)g Fg(t)3302 3920 y Ff(0)3339 3908 y Fi(g)p
Fj(;)150 4007 y Fi(g)150 4107 y Fj(let)g Fg(D)i Fj(b)r(e)e
Fg(D)551 4119 y Fe(p)589 4107 y Fj(;)150 4207 y(return)f
Fg(D)r Fj(;)1382 4389 y(Figure)g(1:)36 b(Learning)26
b(algorithm)275 4583 y(It)h(is)h(straigh)n(tforw)n(ard)d(to)i(pro)n(v)n
(e)f(the)i(follo)n(wing)e(correctness)g(theorem)h(for)g(the)h(learning)
f(algorithm.)275 4752 y Fb(Theorem)j(1)41 b Fd(The)f(de\014nition)f
Fg(D)i Fd(for)e(the)g(tar)l(get)f(function)h Fg(f)47
b Fd(pr)l(o)l(duc)l(e)l(d)39 b(by)g(the)g(le)l(arning)g(algorithm)150
4852 y(c)l(overs)30 b(al)t(l)h(the)f(examples)h(in)e
Fi(E)7 b Fd(.)275 5021 y Fj(An)29 b(ob)n(vious)f(source)g(of)i
(computational)e(o)n(v)n(erhead)f(in)j(the)f(learning)g(algorithm)f(is)
h(the)h(step)f(where)g(the)150 5121 y(examples)36 b(are)g(c)n(hec)n(k)n
(ed.)63 b(Instead)37 b(of)g(c)n(hec)n(king)e(that)j(all)e(the)h
(examples)f(in)i Fi(C)2763 5133 y Fe(j)2822 5121 y Fi([)25
b(N)2982 5090 y Fe(i)2970 5142 y(j)3047 5121 y Fj(are)36
b(co)n(v)n(ered,)h(it)g(is)150 5230 y(natural)29 b(to)g(w)n(an)n(t)g
(to)h(reduce)f(this)h(to)f(c)n(hec)n(king)f(just)j(the)f(new)f
(examples)g(in)h Fi(N)2746 5200 y Fe(i)2734 5252 y(j)2774
5230 y Fj(.)43 b(After)30 b(all,)g(the)g(examples)150
5330 y(in)j Fi(C)296 5342 y Fe(j)364 5330 y Fj(w)n(ere)g(c)n(hec)n(k)n
(ed)f(in)h(the)h(previous)e(iteration!)53 b(The)33 b(follo)n(wing)f
(example)h(sho)n(ws)f(that,)j(in)e(general,)g(w)n(e)150
5430 y(cannot)27 b(a)n(v)n(oid)f(c)n(hec)n(king)h(the)h(examples)f(in)g
Fi(C)1617 5442 y Fe(j)1680 5430 y Fj(again.)275 5529
y(Consider)f(the)i(problem)f(of)h(learning)e(a)h(de\014nition)h(for)g
(a)f(predicate)g Fg(p)g Fj(where)g(the)h(examples)f(are)150
5670 y Fg(p)p Fj(\()p Fg(A)p Fj(\))d(=)e Fg(T)12 b(r)r(ue)p
eop
%%Page: 7 7
7 6 bop 150 100 a Fh(6)83 b(CONCLUDING)28 b(REMARKS)2321
b Fj(7)150 390 y Fg(p)p Fj(\()p Fg(B)t Fj(\))24 b(=)e
Fg(T)12 b(r)r(ue)150 490 y(p)p Fj(\()p Fg(C)6 b Fj(\))24
b(=)e Fg(F)12 b(al)r(se:)150 631 y Fj(Cho)r(ose)27 b
Fd(F)-6 b(alse)28 b Fj(to)f(b)r(e)h(the)g(default)h(v)-5
b(alue.)36 b(Supp)r(ose)28 b(during)f(the)h(\014rst)f(iteration)g(the)h
(statemen)n(t)150 772 y Fg(p)p Fj(\()p Fg(x)p Fj(\))c(=)j(if)h(\()p
Fg(x)c Fj(=)f Fg(A)p Fj(\))c Fi(^)f(:)p Fg(p)p Fj(\()p
Fg(B)t Fj(\))29 b(then)f Fd(T)-6 b(rue)28 b Fj(else)f
Fd(F)-6 b(alse)150 913 y Fj(is)28 b(induced.)40 b(This)28
b(statemen)n(t,)h(although)e(somewhat)h(p)r(eculiar,)g(do)r(es)g(co)n
(v)n(er)f(the)i(\014rst)f(example.)38 b(No)n(w)28 b(sup-)150
1013 y(p)r(ose,)e(in)g(trying)g(to)f(co)n(v)n(er)f(the)j(second)e
(example)h(\(without)g(rec)n(hec)n(king)e(the)j(\014rst)f(example\),)g
(the)g(statemen)n(t)150 1112 y(is)h(expanded)h(to)150
1254 y Fg(p)p Fj(\()p Fg(x)p Fj(\))c(=)j(if)h(\()p Fg(x)c
Fj(=)f Fg(A)p Fj(\))c Fi(^)f(:)p Fg(p)p Fj(\()p Fg(B)t
Fj(\))29 b(then)f Fd(T)-6 b(rue)28 b Fj(else)f(if)h Fg(x)23
b Fj(=)g Fg(B)32 b Fj(then)c Fd(T)-6 b(rue)27 b Fj(else)h
Fd(F)-6 b(alse)p Fj(.)150 1395 y(No)n(w,)30 b(unfortunately)-7
b(,)30 b(the)g(\014rst)f(example)g(is)g(no)h(longer)e(co)n(v)n(ered)g
(since)h Fg(p)p Fj(\()p Fg(A)p Fj(\))h(reduces)f(to)g
Fd(F)-6 b(alse)31 b Fj(using)e(this)150 1494 y(statemen)n(t.)275
1594 y(This)37 b(phenomenon)g(of)h(previously)e(co)n(v)n(ered)g
(examples)h(b)r(ecoming)g(unco)n(v)n(ered)f(when)i(the)g(statemen)n(t)
150 1694 y(b)r(eing)24 b(induced)f(is)h(expanded)f(only)g(o)r(ccurs)g
(when)g(there)h(is)f(b)r(oth)h(recursion)e(and)h(negation)g(app)r
(earing)f(in)i(the)150 1793 y(statemen)n(t.)43 b(In)30
b(fact,)h(for)e(non-recursiv)n(e)e(de\014nitions,)k(it)f(is)g(clear)e
(that)i(one)g(only)f(needs)g(to)h(c)n(hec)n(k)f(the)h(new)150
1893 y(examples)d(in)h Fi(N)685 1863 y Fe(i)673 1915
y(j)741 1893 y Fj(and)g(the)g(theorem)f(still)h(holds.)37
b(Similarly)-7 b(,)28 b(if)g(the)g(de\014nition)h(b)r(eing)e(learned)g
(is)h(a)f(de\014nite)150 1993 y(clause)g(program,)f(then)i(the)g
(theorem)f(also)f(holds)h(for)h(the)g(optimised)f(v)n(ersion)f(of)i
(the)g(algorithm.)275 2092 y(This)40 b(example)g(sho)n(ws)g(that)h
(once)f(ILP)g(systems)g(start)h(inducing)f(recursiv)n(e)f
(de\014nitions)i(con)n(taining)150 2192 y(negation,)28
b(the)h(correctness)e(of)i(the)g(learning)e(algorithm)h(can)g(no)g
(longer)g(b)r(e)h(tak)n(en)f(for)g(gran)n(ted)f(unless)i(the)150
2291 y(algorithm)d(explicitly)i(do)r(es)f(a)h(great)e(deal)h(of)h(c)n
(hec)n(king.)150 2561 y Fk(6)135 b(Concluding)45 b(Remarks)150
2743 y Fj(The)25 b(prop)r(osed)e(researc)n(h)f(addresses)h(some)h(of)g
(the)h(main)g(issues)e(of)i(ILP)f(in)g(a)g(no)n(v)n(el)g(w)n(a)n(y)-7
b(.)34 b(The)25 b(use)f(of)h(Esc)n(her)150 2843 y(increases)g(the)j(c)n
(hances)e(of)h(\014nding)g(natural)f(solutions)g(to)h(problems)g(whose)
f(curren)n(tly)g(prop)r(osed)g(solutions)150 2942 y(are)e(made)g(a)n
(wkw)n(ard)f(or)h(unnecessarily)f(complex)h(due)h(to)g(the)g
(limitations)g(of)f(\014rst-order)f(theories.)35 b(Clearly)-7
b(,)150 3042 y(higher-order)29 b(learning)g(raises)h(new)h(problems.)46
b(Ho)n(w)n(ev)n(er,)30 b(preliminary)g(exp)r(erimen)n(ts)h(sho)n(w)f
(that,)i(within)150 3142 y(reasonable)25 b(constrain)n(ts,)g(useful)j
(results)e(can)g(b)r(e)h(ac)n(hiev)n(ed.)36 b(Our)26
b(w)n(ork)f(will)i(address)f(the)h(follo)n(wing)f(issues,)150
3241 y(whic)n(h)i(are)e(particularly)g(relev)-5 b(an)n(t)27
b(to)h(curren)n(t)e(ILP)h(researc)n(h.)275 3386 y Fi(\017)41
b Fd(Pr)l(e)l(dic)l(ate)36 b(invention)f(and)h(utility)p
Fj(.)55 b(It)34 b(has)f(b)r(een)h(sho)n(wn)f(that,)i(under)f(certain)f
(circumstances,)h(the)358 3485 y(in)n(v)n(en)n(tion)19
b(of)i(new)g(predicates)f(is)g(necessary)f(for)i(successful)f
(learning.)34 b(Y)-7 b(et)21 b(the)g(problems)f(of)h(predicate)358
3585 y(in)n(v)n(en)n(tion)j(and)h(utilit)n(y)g(are)f(di\016cult)i(to)f
(solv)n(e)f(and)g(remain)h(op)r(en)g(problems)f(in)h(ILP)-7
b(.)25 b(Some)g(prop)r(osals)358 3685 y(ha)n(v)n(e)30
b(b)r(een)h(made)h(in)f(ILP's)g(traditional)f(\014rst-order)f(framew)n
(ork.)47 b(Ho)n(w)n(ev)n(er,)30 b(in)n(v)n(en)n(tion)g(and)i(utilit)n
(y)358 3784 y(are)f(second-order)g(concepts.)52 b(It)33
b(is)g(th)n(us)g(our)f(con)n(ten)n(tion)g(that)h(they)g(are)f(b)r(est)h
(addressed)f(in)h(their)358 3884 y(natural)26 b(higher-order)g
(setting.)275 4039 y Fi(\017)41 b Fd(ILP)26 b(systems)g(as)h(pr)l(o)l
(gr)l(amming)g(assistants)p Fj(.)35 b(One)24 b(of)f(the)i(applications)
d(of)i(ILP)f(is)h(program)e(syn)n(thesis)358 4139 y(from)36
b(partial)g(sp)r(eci\014cations)g(and)g(examples.)64
b(The)37 b(more)e(declarativ)n(e)h(a)g(language,)h(the)g(easier)f(it)
358 4238 y(is)g(to)h(induce)h(programs)c(in)k(that)f(language.)64
b(Indeed,)39 b(it)f(has)e(b)r(een)i(sho)n(wn)e(that)h(non-declarativ)n
(e)358 4338 y(constructs,)27 b(suc)n(h)h(as)g(Prolog's)d(cut,)k(are)e
(di\016cult)i(to)f(learn.)38 b(The)28 b(strong)f(declarativ)n(eness)f
(of)j(Esc)n(her)358 4438 y(mak)n(es)d(it)i(a)f(particularly)f(suitable)
i(candidate)f(for)g(exp)r(erimen)n(ts)g(in)h(program)e(syn)n(thesis.)
150 4707 y Fk(References)150 4889 y Fj([Ch)n(u40])41
b(A.)d(Ch)n(urc)n(h.)65 b(A)38 b(form)n(ulation)f(of)h(the)g(simple)f
(theory)g(of)h(t)n(yp)r(es.)66 b Fd(Journal)39 b(of)h(Symb)l(olic)g(L)l
(o)l(gic)p Fj(,)471 4989 y(5:56{68,)24 b(1940.)150 5144
y([Llo95])74 b(J.W.)47 b(Llo)n(yd.)93 b(Declarativ)n(e)45
b(programming)g(in)i(Esc)n(her.)93 b(T)-7 b(ec)n(hnical)46
b(Rep)r(ort)h(CSTR-95-013,)471 5244 y(Departmen)n(t)53
b(of)h(Computer)f(Science,)60 b(Univ)n(ersit)n(y)53 b(of)g(Bristol,)59
b(1995.)113 b(Also)53 b(a)n(v)-5 b(ailable)52 b(at)471
5343 y(h)n(ttp://www.cs.bris.ac.uk/.)150 5499 y([Llo97])74
b(J.W.)35 b(Llo)n(yd.)58 b(Programming)33 b(in)i(an)g(in)n(tegrated)f
(functional)i(and)f(logic)f(language.)58 b Fd(Journal)36
b(of)471 5598 y(F)-6 b(unctional)29 b(and)i(L)l(o)l(gic)f(Pr)l(o)l(gr)l
(amming)p Fj(,)f(1997.)35 b(T)-7 b(o)27 b(app)r(ear.)p
eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF
Received on Do Jul 10 1997 - 13:19:00 CEST
This archive was generated by hypermail 2.3.0
: Do Feb 01 2024 - 07:15:05 CET