A Sequent Calculus for First-Order Logic Formalized in Isabelle/HOL.

Asta Halkjær From, Anders Schlichtkrull, Jørgen Villadsen

Research output: Contribution to journalConference article in JournalResearchpeer-review

8 Downloads (Pure)

Abstract

We formalize in Isabelle/HOL soundness and completeness of a one-sided sequent calculus for first-order logic. The completeness is shown via a translation from a semantic tableau calculus, whose completeness proof we base on the theory entry “First-Order Logic According to Fitting” by Berghofer in the Archive of Formal Proofs (AFP). The calculi and proof techniques are taken from Ben-Ari’s textbook Mathematical Logic for Computer Science (Springer 2012). We thereby demonstrate that Berghofer’s approach works not only for natural deduction but constitutes a framework for mechanically-checked completeness proofs for a range of proof systems.
Original languageEnglish
Article number7
JournalCEUR Workshop Proceedings
Volume3002
Pages (from-to)107-121
ISSN1613-0073
Publication statusPublished - 2021
Event36th Italian Conference on Computational Logic (CILC 2021) - Parma, Italy
Duration: 7 Sep 20219 Sep 2021

Conference

Conference36th Italian Conference on Computational Logic (CILC 2021)
Country/TerritoryItaly
CityParma
Period07/09/202109/09/2021

Fingerprint

Dive into the research topics of 'A Sequent Calculus for First-Order Logic Formalized in Isabelle/HOL.'. Together they form a unique fingerprint.

Cite this