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Re: [Haskell-cafe] writing graphs with do-notation

Subject: Re: [Haskell-cafe] writing graphs with do-notation
From: Emil Axelsson
Date: Tue, 15 Dec 2009 09:19:10 +0100
Yes, that's probably close to what I want. It would of course be nice to also have a monadic/applicative interface for building the graphs. In libraries like Wired where you're in a monad anyway, this would get rid of the need for IO.
Koen Claessen has made a sketch of a generic graph library that we were
planning to use as a basis for the EDSLs at Chalmers. But as far as I
remember it looked a lot like the graph in data-reify, so maybe we
should just use that instead.
/ Emil

Levent Erkok skrev:
Andy Gill wrote a very nice recent paper on this topic which can serve as the basis for a generic implementation:

As long as you do your "reification" in the IO monad, Andy's library gives you the graph conversion for (almost-) free.

On Dec 13, 2009, at 10:48 PM, Emil Axelsson wrote:

This technique has been used to define netlists in hardware description languages. The original Lava [1] used a monad, but later switched to using observable sharing [2]. Wired [3] uses a monad similar to yours (but more complicated).
I think it would be nice to have a single library for defining such
graphs (or maybe there is one already?). The graph structure in
Wired could probably be divided into a purely structural part and a
hardware-specific part.
[1] http://citeseerx.ist.psu.edu/viewdoc/summary?doi=
[2] http://www.cs.chalmers.se/~dave/papers/observable-sharing.pdf
[3] http://hackage.haskell.org/package/Wired

/ Emil

Soenke Hahn skrev:
Some time ago, i needed to write down graphs in Haskell. I wanted to be able to write them down without to much noise, to make them easily maintainable. I came up with a way to define graphs using monads and the do notation. I thought this might be interesting to someone, so i wrote a small script to illustrate the idea. Here's an example:
example :: Graph String
example = buildGraph $ do
   a <- mkNode "A" []
   b <- mkNode "B" [a]
   mkNode "C" [a, b]
In this graph there are three nodes identified by ["A", "B", "C"] and three edges ([("A", "B"), ("A", "C"), ("B", "C")]). Think of the variables a and b as outputs of the nodes "A" and "B". Note that each node identifier needs to be mentioned only once. Also the definition of edges (references to other nodes via the outputs) can be checked at compile time. The attachment is a little script that defines a Graph-type (nothing elaborate), the "buildGraph" function and an example graph that is a little more complex than the above. The main function of the script prints the example graph to stdout to be read by dot (or similar). By the way, it is possible to define cyclic graphs using mdo (RecursiveDo). I haven't come across something similar, so i thought, i'd share it. What do you think?
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