A Case Study in Proving the Soundness and Completeness of Natural Deduction for Propositional Logic in Dafny (VeriLang 2026)

Mon 29 June - Fri 3 July 2026 Brussels, Belgium

Who

Daniel Bîrleanu, Ștefan Ciobâcă

Track

VeriLang 2026

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When

Mon 29 Jun 2026 14:00 - 14:30 at I.1.07 - Session 3 Chair(s): Mateo Sanabria

Abstract

We present a Dafny formalization of natural deduction for a deep embedding of propositional logic. We present machine-checked proofs of soundness and completeness. We report on our experience of using AI to help speed up the development process.

Daniel Bîrleanu

Alexandru Ioan Cuza University, Iasi

Ștefan Ciobâcă

Alexandru Ioan Cuza University of Iasi

Romania