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.
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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 -