ATP cross-verification of the mizar MPTP challenge problems

Josef Urban, Geoff Sutcliffe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Scopus citations

Abstract

Mizar is a proof assistant used for formalization and mechanical verification of mathematics. The main use of Mizar is in the development of the Mizar Mathematical Library (MML), in which proofs are verified by the Mizar proof checker. The Mizar proof checker has a quite complex implementation, and also lacks the ability to print out detailed atomic proof steps in a format that is easy to verify by an independent proof-checking tool. This can raise concerns about the correctness of the MML. This paper describes how a Mizar-to-ATP translation (the MPTP system), ATP verification tools (the GDV system), and Automated Theorem Proving (ATP) systems, have been used for an independent cross-verification of a part of the MML.

Original languageEnglish (US)
Title of host publicationLogic for Programming, Artificial Intelligence, and Reasoning - 14th International Conference, LPAR 2007, Proceedings
PublisherSpringer Verlag
Pages546-560
Number of pages15
ISBN (Print)9783540755586
DOIs
StatePublished - 2007
Event14th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2007 - Yerevan, Armenia
Duration: Oct 15 2007Oct 19 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4790 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other14th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2007
CountryArmenia
CityYerevan
Period10/15/0710/19/07

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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    Urban, J., & Sutcliffe, G. (2007). ATP cross-verification of the mizar MPTP challenge problems. In Logic for Programming, Artificial Intelligence, and Reasoning - 14th International Conference, LPAR 2007, Proceedings (pp. 546-560). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4790 LNAI). Springer Verlag. https://doi.org/10.1007/978-3-540-75560-9_39