[curry] What speed to expect doing logic on graphs represented by maps

From: Jeffrey Brown <jeffbrown.the_at_gmail.com>
Date: Mon, 12 Nov 2018 11:40:10 -0500

I want to write something resembling an editor for a graph database. I'm
wondering if Curry will be fast enough.

The data defining the graph would resemble the following:

  type Address = Int
  data Graph = Graph {
    address :: Map String Address
    content :: Map Address String -- `address` and `content` are inverses
    children :: Map Label (Set Address)
    parents :: Map Label (Set Address) }

I would define rules such as:

descendent :: Graph -> Index -> Index
descendent g i
  -- If j is i's child, then j is i's descendent.
  | Set.member j $ Map.lookup i $ children g
  = j
descendent g i
  -- If j is i's descendent and k is j's child, then k is i's descendent.
  | descendent g i j
    & (Set.member k $ Map.lookup k $ children g)
  = k

I'll use hash maps unless their space requirements stop me.

I'm hoping the resulting code will quickly (say, in under a second) answer
queries over a few million nodes, along the lines of "the descendents of X
and Y, minus any descendents of Z or W". If an unbounded number of
generations proves computationally difficult, I would not be bothered by
needing to impose depth limits, ala "the first two generations of
descendents of X and Y, minus the first seven generations of descendents of
Z or W".

The graph would be sparse: with an average number of children well under
five, and few cycles.

Is this kind of performance a reasonable thing to expect from Curry? If so,
using which compiler? If not, can you recommend another language?

I know Haskell, and prefer it immensely to any other language. I am
reluctant to write a full application in a pure logic language like
Mercury, but I will if need be.

Jeff Brown | Jeffrey Benjamin Brown
Website <https://msu.edu/~brown202/> | Facebook
<https://www.facebook.com/mejeff.younotjeff> | LinkedIn
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Received on Mo Nov 19 2018 - 17:42:46 CET

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