Intuitionistic Propositional Logic in Lean

Published 31 Oct 2024 in cs.LO | (2410.23765v1)

Abstract: In this paper we present a formalization of Intuitionistic Propositional Logic in the Lean proof assistant. Our approach focuses on verifying two completeness proofs for the studied logical system, as well as exploring the relation between the two analyzed semantical paradigms - Kripke and algebraic. In addition, we prove a large number of theorems and derived deduction rules.

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Dafina Trufaş

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