this post was submitted on 03 Aug 2023
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Haskell

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Abstract: We introduce the framework FreeCHR, which formalizes the embedding of Constraint Handling Rules (CHR) into a host-language, using the concept of initial algebra semantics from category theory, to establish a high-level implementation scheme for CHR, as well as a common formalization for both theory and practice. We propose a lifting of the syntax of CHR via an endofunctor in the category Set and a lifting of the operational semantics, using the free algebra, generated by the endofunctor. We then lift the very abstract operational semantics of CHR into FreeCHR, and give proofs for soundness and completeness w.r.t. their original definition.

Haskell Source: https://github.com/SRechenberger/free-chr-hs

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[–] jaror@kbin.social 1 points 2 years ago* (last edited 2 years ago)

I think CHR is an underrated programming paradigm and useful for writing type checkers among many other things. The first paragraphs contain a summary of possible applications:

Constraint Handling Rules (CHR) is a rule-based programming language that is usually embedded into a general-purpose programming language. Having a CHR implementation available enables software developers to solve problems in a declarative and elegant manner. Aside from the obvious task of implementing constraint solvers, it can be used to solve scheduling problems, implement concurrent and multi-agent systems, for applications in music and possibly game development. In general, CHR is ideally suited for any problem that involves the transformation of (multi-) sets of data, as programs consist of a set of rewriting rules, hiding away the process of finding suitable candidates for rule application. Hereby, we get a purely declarative representation of the algorithm without the otherwise necessary boilerplate code.