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arXiv · 2410.23760

Unification in Matching Logic -- Revisited

Ádám Kurucz·Péter Bereczky·Dániel Horpácsi
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Abstract

Matching logic is a logical framework for specifying and reasoning about programs using pattern matching semantics. A pattern is made up of a number of structural components and constraints. Structural components are syntactically matched, while constraints need to be satisfied. Having multiple structural patterns poses a practical problem as it requires multiple matching operations. This is easily remedied by unification, for which an algorithm has already been defined and proven correct in a sorted, polyadic variant of matching logic. This paper revisits the subject in the applicative variant of the language while generalising the unification problem and mechanizing a proven-sound solution in Coq.

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Ádám Kurucz, Péter Bereczky, Dániel Horpácsi. 2024-10-31. Unification in Matching Logic -- Revisited. https://doi.org/10.4204/eptcs.410.1

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