2026-07-22T11:56:26Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:13901 2024-03-06T10:53:05Z ddc:004 open_access

A Formally Verified Checker for First-Order Proofs Baek, Seulkee TESC TPTP TSTP ATP The Verified TESC Verifier (VTV) is a formally verified checker for the new Theory-Extensible Sequent Calculus (TESC) proof format for first-order ATPs. VTV accepts a TPTP problem and a TESC proof as input, and uses the latter to verify the unsatisfiability of the former. VTV is written in Agda, and the soundness of its proof-checking kernel is verified in respect to a first-order semantics formalized in Agda. VTV shows robust performance in a comprehensive test using all eligible problems from the TPTP problem library, successfully verifying all but the largest 5 of 12296 proofs, with >97% of the proofs verified in less than 1 second. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Seulkee Baek 2021 Is Part Of LIPIcs, Volume 193, 12th International Conference on Interactive Theorem Proving (ITP 2021) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.ITP.2021.6 urn:nbn:de:0030-drops-139010 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2021.6 eng https://creativecommons.org/licenses/by/4.0/legalcode