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From: Herbert Kuchen <kuchen_at_uni-muenster.de>

Date: Fri, 13 Nov 1998 12:03:45 +0000

*> I understand it from an operational point of view, but could
*

*> you refer to some theory justifying this view?
*

*> Maybe the UC Madrid group can help?
*

I think, we have (at least) four options:

1) adapt the theory developed in the ESOP'96 paper to

the special treatment of nullary functions (i.e. that the

same value is shared between all occurrences). Maybe,

the UCM group could comment on this possibility!?

2) transform out nullary functions (such that the

existing theory can used)

3) adopt Michael's original proposal

(no sharing of values for locally defined nullary functions)

4) Michael's last proposal

locally defined nullary functions are handled like variables

(i.e. their values are shared); locally defined recursive

nullary functions are forbidden

I will comment below on possibilities 2) and 4). Moreover, I would

like to remember that 3) leads to some surprising behaviour, e.g. in

psort xs | sorted ys = ys where ys = permut xs

Honestly, who was able to spot immediately that this

definition does not work as expected?!

I would also like to note that something like this

is not artificial (like the many other examples, we were

discussing) but usual programming practice.

to 2):

The whole program could be understood as syntactic sugar

for

dummy_lhs = goal where definitions

Thus, the "top level" definitions would be handled just

like local definitions as pointed out in my last email.

*> coin = 0
*

*> coin = 1
*

*> ...
*

*> f xs = ...coin...
*

*> g ys = ...coin...
*

*> ...
*

For the example, this means:

(assuming the goal is f Xs)

dummy_lhs = h xs

h xs = f1 xs

h xs = f2 xs

f1 xs = ... coin1 ...

f2 xs= ... coin2...

g1 xs= ... coin1...

g2 xs= ... coin2 ...

coin1 = 0

coin2 = 1

Note that this just serves to transform the program to the

kernel language in order to explain its meaning based on the

existing theory (i.e. mainly the ESOP'96 paper). It does

NOT imply that Curry programs have to implemented

like this. A possible implementation could preserve

the nesting and avoid the code explosion.

to 4) this proposal avoids the surprising behaviour in the

permutation sort example, but restricts the language.

Unfortunately, it also destroys the compatibility with

Haskell. In order to recover it, one could allow

deterministic locally defined recursive

nullary functions (and handle them by lambda

lifting). Thus, only non-deterministic locally defined

recursive nullary functions remain excluded.

This seems to be acceptable (the length of the name

indicates, how often they are needed), especially since the user

can avoid them by applying the proposed

transformation by hand.

Best regards,

Herbert

Received on Fr Nov 13 1998 - 12:11:00 CET

Date: Fri, 13 Nov 1998 12:03:45 +0000

I think, we have (at least) four options:

1) adapt the theory developed in the ESOP'96 paper to

the special treatment of nullary functions (i.e. that the

same value is shared between all occurrences). Maybe,

the UCM group could comment on this possibility!?

2) transform out nullary functions (such that the

existing theory can used)

3) adopt Michael's original proposal

(no sharing of values for locally defined nullary functions)

4) Michael's last proposal

locally defined nullary functions are handled like variables

(i.e. their values are shared); locally defined recursive

nullary functions are forbidden

I will comment below on possibilities 2) and 4). Moreover, I would

like to remember that 3) leads to some surprising behaviour, e.g. in

psort xs | sorted ys = ys where ys = permut xs

Honestly, who was able to spot immediately that this

definition does not work as expected?!

I would also like to note that something like this

is not artificial (like the many other examples, we were

discussing) but usual programming practice.

to 2):

The whole program could be understood as syntactic sugar

for

dummy_lhs = goal where definitions

Thus, the "top level" definitions would be handled just

like local definitions as pointed out in my last email.

For the example, this means:

(assuming the goal is f Xs)

dummy_lhs = h xs

h xs = f1 xs

h xs = f2 xs

f1 xs = ... coin1 ...

f2 xs= ... coin2...

g1 xs= ... coin1...

g2 xs= ... coin2 ...

coin1 = 0

coin2 = 1

Note that this just serves to transform the program to the

kernel language in order to explain its meaning based on the

existing theory (i.e. mainly the ESOP'96 paper). It does

NOT imply that Curry programs have to implemented

like this. A possible implementation could preserve

the nesting and avoid the code explosion.

to 4) this proposal avoids the surprising behaviour in the

permutation sort example, but restricts the language.

Unfortunately, it also destroys the compatibility with

Haskell. In order to recover it, one could allow

deterministic locally defined recursive

nullary functions (and handle them by lambda

lifting). Thus, only non-deterministic locally defined

recursive nullary functions remain excluded.

This seems to be acceptable (the length of the name

indicates, how often they are needed), especially since the user

can avoid them by applying the proposed

transformation by hand.

Best regards,

Herbert

Received on Fr Nov 13 1998 - 12:11:00 CET

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