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Volumn 39, Issue 2, 2012, Pages 1637-1646

Scheme-based theorem discovery and concept invention

Author keywords

Completion; Isabelle HOL; Theorem proving; Theory exploration

Indexed keywords

AUTOMATED TOOLS; HIGHER ORDER LOGIC; INSTANTIATION PROCESS; ISABELLE; ISABELLE/HOL; KNUTH-BENDIX COMPLETION; MATHEMATICAL THEORY; NATURAL NUMBER; PROOF ASSISTANT; PROOF OBLIGATIONS; PROOF TOOLS; THEORY-EXPLORATION;

EID: 80054943783     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2011.06.055     Document Type: Conference Paper
Times cited : (28)

References (25)
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  • 4
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    • Algorithm supported mathematical theory exploration: A personal view and stragegy
    • B. Buchberger & J. Campbell (Eds.) Lecture Notes in Artificial Intelligence. Austria: Springer, Berlin-Heidelberg, RISC, Johannes Kepler University
    • Buchberger. B. (2004). Algorithm supported mathematical theory exploration: A personal view and stragegy. In B. Buchberger & J. Campbell (Eds.), Proceedings of AISC 2004 (7th international conference on artificial intelligence and symbolic computation) (Vol. 3249, pp. 236-250), Lecture Notes in Artificial Intelligence. Austria: Springer, Berlin-Heidelberg, RISC, Johannes Kepler University.
    • (2004) Proceedings of AISC 2004 (7th International Conference on Artificial Intelligence and Symbolic Computation) , vol.3249 , pp. 236-250
    • Buchberger, B.1
  • 6
    • 4243080306 scopus 로고    scopus 로고
    • The automation of proof by mathematical induction
    • A. Robinson, A. Voronkov, Elsevier
    • A. Bundy The automation of proof by mathematical induction A. Robinson, A. Voronkov, Handbook of automated reasoning Vol. 1 2001 Elsevier 845 911
    • (2001) Handbook of Automated Reasoning , vol.1 , pp. 845-911
    • Bundy, A.1
  • 10
    • 48049085907 scopus 로고    scopus 로고
    • Decompositions of natural numbers: From a case study in mathematical theory exploration. Symbolic and numeric algorithms for scientific computing
    • Craciun, A.; & Hodorog, M. (2007). Decompositions of natural numbers: From a case study in mathematical theory exploration. Symbolic and numeric algorithms for scientific computing. In International symposium on symbolic and numeric algorithms for scientific computing (pp. 41-47).
    • (2007) International Symposium on Symbolic and Numeric Algorithms for Scientific Computing , pp. 41-47
    • Craciun, A.1    Hodorog, M.2
  • 12
    • 7044229282 scopus 로고    scopus 로고
    • IsaPlanner: A Prototype Proof Planner in Isabelle
    • Automated Deduction - CADE-19
    • Dixon, L.; & Fleuriot, J. D. (2003). IsaPlanner: A prototype proof planner in Isabelle. In Proceedings of CADE'03, LNCS (Vol. 2741, pp. 279-283). (Pubitemid 36940715)
    • (2003) Lecture Notes in Computer Science , Issue.2741 , pp. 279-283
    • Dixon, L.1    Fleuriot, J.2
  • 15
    • 80053051684 scopus 로고    scopus 로고
    • Conjecture synthesis for inductive theories
    • doi:10.1007/s10817-010-9193-y (in press)
    • Johansson, M.; Dixon, L.; & Bundy, A. (in press). Conjecture synthesis for inductive theories. Journal of Automated Reasoning, 1-39. doi:10.1007/s10817-010-9193-y.
    • Journal of Automated Reasoning , pp. 1-39
    • Johansson, M.1    Dixon, L.2    Bundy, A.3
  • 18
    • 0041983356 scopus 로고
    • AM: An artificial intelligence approach to discovery in mathematics as heuristic search
    • McGraw-Hill. Also available from Stanford as TechReport AIM 286
    • Lenat, D.B. (1982). AM: An artificial intelligence approach to discovery in mathematics as heuristic search. In Knowledge-based systems in artificial intelligence (pp. 833-842). McGraw-Hill. Also available from Stanford as TechReport AIM 286.
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    • Lenat, D.B.1
  • 21
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    • Scheme-based synthesis of inductive theories
    • Montano-Rivas, O.; McCasland, R.; Dixon, L.; & Bundy, A. (2010). Scheme-based synthesis of inductive theories. In MICAI, LNCS (Vol. 6437, pp. 348-361).
    • (2010) MICAI, LNCS , vol.6437 , pp. 348-361
    • Montano-Rivas, O.1    McCasland, R.2    Dixon, L.3    Bundy, A.4
  • 23
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    • Isabelle/HOL - A proof assistant for higher-order logic
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.