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arXiv · 2211.12629

A Complete Diagrammatic Calculus for Boolean Satisfiability

Tao Gu·Robin Piedeleu·Fabio Zanasi
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Abstract

We propose a calculus of string diagrams to reason about satisfiability of Boolean formulas, and prove it to be sound and complete. We then showcase our calculus in a few case studies. First, we consider SAT-solving. Second, we consider Horn clauses, which leads us to a new decision method for propositional logic programs equivalence under Herbrand model semantics.

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Tao Gu, Robin Piedeleu, Fabio Zanasi. 2022-11-22. A Complete Diagrammatic Calculus for Boolean Satisfiability. https://doi.org/10.46298/entics.10481

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