TY - GEN

T1 - ATP cross-verification of the mizar MPTP challenge problems

AU - Urban, Josef

AU - Sutcliffe, Geoff

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=38149064402&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38149064402&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-75560-9_39

DO - 10.1007/978-3-540-75560-9_39

M3 - Conference contribution

AN - SCOPUS:38149064402

SN - 9783540755586

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 546

EP - 560

BT - Logic for Programming, Artificial Intelligence, and Reasoning - 14th International Conference, LPAR 2007, Proceedings

PB - Springer Verlag

T2 - 14th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2007

Y2 - 15 October 2007 through 19 October 2007

ER -