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arXiv · 2507.18238

Deriving Program Logics from Distributive Monoidal Categories

Filippo Bonchi·Elena Di Lavore·Mario Román·Sam Staton
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Abstract

We derive multiple program logics - including correctness, incorrectness, and relational Hoare logic - from the axioms of imperative categories: uniformly traced distributive copy-discard categories. Rules of program logics follow from the axioms of imperative categories. The algebra of guarded commands derived by the categorical structure generalises guarded Kleene algebras with tests.

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Filippo Bonchi, Elena Di Lavore, Mario Román, Sam Staton. 2025-07-24. Deriving Program Logics from Distributive Monoidal Categories. https://arxiv.org/abs/2507.18238

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