Automated reasoning for mizar: Artificial intelligence through knowledge exchange

CEUR Workshop Proceedings

Volumn 418, Issue , 2008, Pages 1-16

  Urban, Josef ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATED REASONING; AUTOMATED REASONING TOOLS; AUTOMATED THEOREM PROVER; KNOWLEDGE EXCHANGE; POSSIBLE FUTURES; TRANSLATION METHOD;

ARTIFICIAL INTELLIGENCE; AUTOMATION; CASE BASED REASONING; THEOREM PROVING;

KNOWLEDGE MANAGEMENT;

EID: 77954875993     PISSN: 16130073     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (44)

1. Grzegorz Bancerek and Piotr Rudnicki. Information retrieval in MML. In MKM, Volume 2594 of Lecture Notes in Computer Science, pages 119-132. Springer, 2003.
2. Grzegorz Bancerek and Josef Urban. Integrated semantic browsing of the Mizar Mathematical Library for authoring Mizar articles. In MKM, pages 44-57, 2004.
3. Thierry Coquand, Henri Lombardi, and Marie-Françoise Roy, editors. Mathematics, Algorithms, Proofs, 9.-14. January 2005, Volume 05021 of Dagstuhl Seminar Proceedings. Internationales Begegnungs- und Forschungszentrum für Informatik (IBFI), Schloss Dagstuhl, Germany, 2006.
4. S. Colton, A. Meier, V. Sorge, and R. McCasland. Automatic Generation of Classification Theorems for Finite Algebras. In M. Rusinowitch and D. Basin, editors, Proceedings of the 2nd International Joint Conference on Automated Reasoning, number 3097 in Lecture Notes in Artificial Intelligence, pages 400-414, 2004.
5. S. Colton. The HR Program for Theorem Generation. In A. Voronkov, editor, Proceedings of the 18th International Conference on Automated Deduction, number 2392 in Lecture Notes in Artificial Intelligence, pages 285-289. Springer-Verlag, 2002.
6. J. Denzinger, M. Fuchs, C. Goller, and S. Schulz. Learning from Previous Proof Experience. Technical Report AR99-4, Institut für Informatik, Technische Universität München, 1999. (also to be published as a SEKI report).
7. Ingo Dahn and Christoph Wernhard. First order proof problems extracted from an article in the MIZAR Mathematical Library. In Maria Paola Bonacina and Ulrich Furbach, editors, Int. Workshop on First-Order Theorem Proving (FTP'97), RISC-Linz Report Series No. 97-50, pages 58-62. Johannes Kepler Universität, Linz (Austria), 1997.
8. Siemion Fajtlowicz. On conjectures of graffiti. Discrete Mathematics, 72(1-3):113-118, 1988.
9. H. Ganzinger and J. Stuber. Superposition with Equivalence Reasoning. In F. Baader, editor, Proceedings of the 19th International Conference on Automated Deduction, number 2741 in Lecture Notes in Artificial Intelligence, pages 335-349. Springer-Verlag, 2003.
10. R. Hähnle, M. Kerber, and C. Weidenbach. Common Syntax of the DFG-Schwerpunktprogramm Deduction. Technical Report TR 10/96, Fakultät für Informatik, Universät Karlsruhe, Karlsruhe, Germany, 1996.
11. John Harrison, Konrad Slind, and Rob Arthan. Hol. In Freek Wiedijk, editor, The Seventeen Provers of the World, Volume 3600 of Lecture Notes in Computer Science, pages 11-19. Springer, 2006.
12. Katarzyna Jankowska. Matrices. Abelian group of matrices. Formalized Mathematics, 2(4):475-480, 1991.
13. D. Lenat. An Artificial Intelligence Approach to Discovery in Mathematics. PhD thesis, Stanford University, Stanford, USA, 1976.
14. Gilbert Lee and Piotr Rudnicki. Alternative aggregates in Mizar. In Manuel Kauers, Manfred Kerber, Robert Miner, and Wolfgang Windsteiger, editors, Calculemus/MKM, Volume 4573 of Lecture Notes in Computer Science, pages 327-341. Springer, 2007.
15. J. Meng and L. Paulson. Lightweight Relevance Filtering for Machine-Generated Resolution Problems. In G. Sutcliffe, R. Schmidt, and S. Schulz, editors, Proceedings of the FLoC'06 Workshop on Empirically Successful Computerized Reasoning, 3rd International Joint Conference on Automated Reasoning, Volume 192 of CEUR Workshop Proceedings, pages 53-69, 2006.
16. Jia Meng and Lawrence C. Paulson. Translating higher-order clauses to first-order clauses. J. Autom. Reasoning, 40(1):35-60, 2008.
17. I. Niles and A. Pease. Towards A Standard Upper Ontology. In C. Welty and B. Smith, editors, Proceedings of the 2nd International Conference on Formal Ontology in Information Systems, pages 2-9, 2001.
18. A. Nonnengart and C. Weidenbach. Computing Small Clause Normal Forms. In A. Robinson and A. Voronkov, editors, Handbook of Automated Reasoning, pages 335-367. Elsevier Science, 2001.
19. J. Otten and W. Bibel. leanCoP: Lean Connection-Based Theorem Proving. Journal of Symbolic Computation, 36(1-2):139-161, 2003.
20. A. Pease and G. Sutcliffe. First Order Reasoning on a Large Ontology. In J. Urban, G. Sutcliffe, and S. Schulz, editors, Proceedings of the CADE-21 Workshop on Empirically Successful Automated Reasoning in Large Theories, 2007.
21. D. Ramachandran, Reagan P., and K. Goolsbey. First-orderized ResearchCyc: Expressiveness and Efficiency in a Common Sense Knowledge Base. In Shvaiko P., editor, Proceedings of the Workshop on Contexts and Ontologies: Theory, Practice and Applications, 2005.
22. Piotr Rudnicki and Andrzej Trybulec. On equivalents of well-foundedness. J. Autom. Reasoning, 23(3-4):197-234, 1999.
23. Piotr Rudnicki and Andrzej Trybulec. On the integrity of a repository of formalized mathematics. In MKM, Volume 2594 of Lecture Notes in Computer Science, pages 162-174. Springer, 2003.
24. P. Rudnicki. Obvious Inferences. Journal of Automated Reasoning, 3(4):383-393, 1987.
25. P. Rudnicki. An Overview of the Mizar Project. In Proceedings of the 1992 Workshop on Types for Proofs and Programs, pages 311-332, 1992.
26. A. Riazanov and A. Voronkov. The Design and Implementation of Vampire. AI Communications, 15(2-3):91-110, 2002.
27. S. Schulz. E: A Brainiac Theorem Prover. AI Communications, 15(2-3):111-126, 2002.
28. G. Sutcliffe and Y. Puzis. SRASS - a Semantic Relevance Axiom Selection System. In F. Pfenning, editor, Proceedings of the 21st International Conference on Automated Deduction, number 4603 in Lecture Notes in Artificial Intelligence, pages 295-310. Springer-Verlag, 2007.
29. G. Sutcliffe and C.B. Suttner. The TPTP Problem Library: CNF Release v1.2.1. Journal of Automated Reasoning, 21(2):177-203, 1998.
30. G. Sutcliffe. Semantic Derivation Verification. International Journal on Artificial Intelligence Tools, 15(6):1053-1070, 2006.
31. G. Sutcliffe. The 3rd IJCAR Automated Theorem Proving Competition. AI Communications, 20(2):117-126, 2007.
32. Josef Urban and Grzegorz Bancerek. Presenting and explaining Mizar. Electr. Notes Theor. Comput. Sci., 174(2):63-74, 2007.
33. J. Urban. Translating Mizar for First Order Theorem Provers. In A. Asperti, B. Buchberger, and J.H. Davenport, editors, Proceedings of the 2nd International Conference on Mathematical Knowledge Management, number 2594 in Lecture Notes in Computer Science, pages 203-215. Springer-Verlag, 2003.
34. J. Urban. MPTP - Motivation, Implementation, First Experiments. Journal of Automated Reasoning, 33(3-4):319-339, 2004.
35. J. Urban. XML-izing Mizar: Making Semantic Processing and Presentaion of MML Easy. In M. Kohlhase, editor, Proceedings of the 4th Integrated Conference on Mathematical Knowledge Management, Volume 3863 of Lecture Notes in Computer Science, pages 346-360, 2005.
36. J. Urban. MizarMode - An Integrated Proof Assistance Tool for the Mizar Way of Formalizing Mathematics. Journal of Applied Logic, 4(4):414-427, 2006.
37. Josef Urban. MoMM - fast interreduction and retrieval in large libraries of formalized mathematics. International Journal on Artificial Intelligence Tools, 15(1):109-130, 2006.
38. J. Urban. MaLARea: a Metasystem for Automated Reasoning in Large Theories. In J. Urban, G. Sutcliffe, and S. Schulz, editors, Proceedings of the CADE-21 Workshop on Empirically Successful Automated Reasoning in Large Theories, pages 45-58, 2007.
39. J. Urban. MPTP 0.2: Design, Implementation, and Initial Experiments. Journal of Automated Reasoning, 37(1-2):21-43, 2007.
40. J. Urban and G. Sutcliffe. ATP Cross-verification of the Mizar MPTP Challenge Problems. In N. Dershowitz and A. Voronkov, editors, Proceedings of the 14th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, number 4790 in Lecture Notes in Artificial Intelligence, pages 546-560, 2007.
41. Josef Urban, Geoff Sutcliffe, Petr Pudlák, and Jirí Vyskocil. Malarea SG1 - machine learner for automated reasoning with semantic guidance. In Alessandro Armando, Peter Baumgartner, and Gilles Dowek, editors, Proceedings of the 4th International Joint Conference on Automated Reasoning, Volume 5195 of Lecture Notes in Computer Science, pages 441-456, 2008.
42. J. Urban, S. Trac, G. Sutcliffe, and Y. Puzis. Combining Mizar and TPTP Semantic Presentation Tools. In Proceedings of the Mathematical User-Interfaces Workshop 2007, 2007.
43. K. Verchinine, A. Lyaletski, and A. Paskevick. System for Automated Deduction (SAD): A Tool for Proof Verification. In F. Pfenning, editor, Proceedings of the 21st International Conference on Automated Deduction, number 4603 in Lecture Notes in Artificial Intelligence, pages 398-403. SpringerVerlag, 2007.
44. C. Weidenbach, U. Brahm, T. Hillenbrand, E. Keen, C. Theobald, and D. Topic. SPASS Version 2.0. In A. Voronkov, editor, Proceedings of the 18th International Conference on Automated Deduction, number 2392 in Lecture Notes in Artificial Intelligence, pages 275-279. Springer-Verlag, 2002.