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arXiv · 1406.2058

Monad Transformers for Backtracking Search

Jules Hedges
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Abstract

This paper extends Escardo and Oliva's selection monad to the selection monad transformer, a general monadic framework for expressing backtracking search algorithms in Haskell. The use of the closely related continuation monad transformer for similar purposes is also discussed, including an implementation of a DPLL-like SAT solver with no explicit recursion. Continuing a line of work exploring connections between selection functions and game theory, we use the selection monad transformer with the nondeterminism monad to obtain an intuitive notion of backward induction for a certain class of nondeterministic games.

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BibTeXRIS

Jules Hedges. 2014-06-09. Monad Transformers for Backtracking Search. https://doi.org/10.4204/eptcs.153.3

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