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arXiv · 1803.09709

A many-sorted polyadic modal logic

Ioana Leustean·Natalia Moanga·Traian Florin Serbanuta
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Abstract

This paper presents a many-sorted polyadic modal logic that generalizes some of the existing approaches. The algebraic semantics has led us to a many-sorted generalization of boolean algebras with operators, for which we prove the analogue of the J\'onsson-Tarski theorem. While the transition from the mono-sorted logic to many-sorted one is a smooth process, we see our system as a step towards deepening the connection between modal logic and program verification, since our system can be seen as the propositional fragment of Matching logic, a first-order logic for specifying and reasoning about programs.

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Ioana Leustean, Natalia Moanga, Traian Florin Serbanuta. 2018-03-26. A many-sorted polyadic modal logic. https://arxiv.org/abs/1803.09709

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