메뉴 건너뛰기




Volumn 6167 LNAI, Issue , 2010, Pages 132-146

Automated reasoning and presentation support for formalizing mathematics in Mizar

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATED REASONING; FIRST ORDER LOGIC; FIRST-ORDER; ISOLATED PROBLEMS; MIZAR LANGUAGE; MIZAR MATHEMATICAL LIBRARIES; MIZAR SYSTEM; NEW OPPORTUNITIES; ON-LINE SERVICE; PROOF PRESENTATION;

EID: 77954880319     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-14128-7_12     Document Type: Conference Paper
Times cited : (27)

References (36)
  • 2
    • 35248826131 scopus 로고    scopus 로고
    • Information retrieval in MML
    • Asperti, A., Buchberger, B., Davenport, J.H. (eds.) MKM 2003. Springer, Heidelberg
    • Bancerek, G., Rudnicki, P.: Information Retrieval in MML. In: Asperti, A., Buchberger, B., Davenport, J.H. (eds.) MKM 2003. LNCS, vol.2594, pp. 119-132. Springer, Heidelberg (2003)
    • (2003) LNCS , vol.2594 , pp. 119-132
    • Bancerek, G.1    Rudnicki, P.2
  • 4
    • 77954566336 scopus 로고    scopus 로고
    • Lightweight Integration of the Ergo Theorem Prover Inside a Proof Assistant
    • Rushby, J., Shankar, N. (eds.). ACM Press, New York
    • Conchon, S., Contejean, E., Kanig, J., Lescuyer, S.: Lightweight Integration of the Ergo Theorem Prover Inside a Proof Assistant. In: Rushby, J., Shankar, N. (eds.) Proceedings of the 2ndWorkshop on Automated Formal Methods, pp. 55-59. ACM Press, New York (2007)
    • (2007) Proceedings of the 2ndWorkshop on Automated Formal Methods , pp. 55-59
    • Conchon, S.1    Contejean, E.2    Kanig, J.3    Lescuyer, S.4
  • 5
    • 84873481082 scopus 로고    scopus 로고
    • A Real Semantic Web for Mathematics Deserves a Real Semantics
    • Lange, C., Schaffert, S., Skaf-Molli, H., Völkel, M. (eds.) Proceedings of the 3rd Semantic Wiki Workshop
    • Corbineau, P., Geuvers, H., Kaliszyk, C., McKinna, J., Wiedijk, F.: A Real Semantic Web for Mathematics Deserves a Real Semantics. In: Lange, C., Schaffert, S., Skaf-Molli, H., Völkel, M. (eds.) Proceedings of the 3rd Semantic Wiki Workshop. CEUR Workshop Proceedings, vol.360, pp. 62-66 (2008)
    • (2008) CEUR Workshop Proceedings , vol.360 , pp. 62-66
    • Corbineau, P.1    Geuvers, H.2    Kaliszyk, C.3    McKinna, J.4    Wiedijk, F.5
  • 6
    • 38049029629 scopus 로고    scopus 로고
    • Cooperative repositories for formal proofs
    • Kauers, M., Kerber, M., Miner, R., Windsteiger, W. (eds.) MKM/CALCULEMUS 2007. Springer, Heidelberg
    • Corbineau, P., Kaliszyk, C.: Cooperative Repositories for Formal Proofs. In: Kauers, M., Kerber, M., Miner, R., Windsteiger, W. (eds.) MKM/CALCULEMUS 2007. LNCS (LNAI), vol.4573, pp. 221-234. Springer, Heidelberg (2007)
    • (2007) LNCS (LNAI) , vol.4573 , pp. 221-234
    • Corbineau, P.1    Kaliszyk, C.2
  • 9
    • 22044441063 scopus 로고    scopus 로고
    • A proof of the kepler conjecture
    • Hales, T.: A Proof of the Kepler Conjecture. Annals of Mathematics 162(3), 1065-1185 (2005)
    • (2005) Annals of Mathematics , vol.162 , Issue.3 , pp. 1065-1185
    • Hales, T.1
  • 13
    • 77954867387 scopus 로고
    • Real Function Differentiability - Part II
    • Kotowicz, J., Raczkowski, K.: Real Function Differentiability - Part II. Formalized Mathematics 2(3), 407-411 (1991)
    • (1991) Formalized Mathematics , vol.2 , Issue.3 , pp. 407-411
    • Kotowicz, J.1    Raczkowski, K.2
  • 14
    • 0031378630 scopus 로고    scopus 로고
    • Solution of the robbins problem
    • McCune, W.W.: Solution of the Robbins Problem. Journal of Automated Reasoning 19(3), 263-276 (1997)
    • (1997) Journal of Automated Reasoning , vol.19 , Issue.3 , pp. 263-276
    • McCune, W.W.1
  • 15
    • 0013087577 scopus 로고    scopus 로고
    • A Generic Tableau Prover and its Integration with Isabelle
    • Paulson, L.: A Generic Tableau Prover and its Integration with Isabelle. Artificial Intelligence 5(3), 73-87 (1999)
    • (1999) Artificial Intelligence , vol.5 , Issue.3 , pp. 73-87
    • Paulson, L.1
  • 16
    • 84884652201 scopus 로고    scopus 로고
    • First Order Reasoning on a Large Ontology
    • Urban, J., Sutcliffe, G., Schulz, S. (eds.) Proceedings of the CADE-21 Workshop on Empirically Successful Automated Reasoning in Large Theories
    • Pease, A., Sutcliffe, G.: First Order Reasoning on a Large Ontology. In: Urban, J., Sutcliffe, G., Schulz, S. (eds.) Proceedings of the CADE-21 Workshop on Empirically Successful Automated Reasoning in Large Theories. CEUR Workshop Proceedings, vol.257, pp. 59-69 (2007)
    • (2007) CEUR Workshop Proceedings , vol.257 , pp. 59-69
    • Pease, A.1    Sutcliffe, G.2
  • 17
    • 78650816598 scopus 로고    scopus 로고
    • Automated theorem proving in loop theory
    • Sutcliffe, G., Colton, S., Schulz, S. (eds.) Proceedings of the CICM Workshop on Empirically Successful Automated Reasoning in Mathematics
    • Phillips, J.D., Stanovsky, D.: Automated Theorem Proving in Loop Theory. In: Sutcliffe, G., Colton, S., Schulz, S. (eds.) Proceedings of the CICM Workshop on Empirically Successful Automated Reasoning in Mathematics. CEUR Workshop Proceedings, vol.378, pp. 42-53 (2008)
    • (2008) CEUR Workshop Proceedings , vol.378 , pp. 42-53
    • Phillips, J.D.1    Stanovsky, D.2
  • 18
    • 33746040116 scopus 로고    scopus 로고
    • Automated generation of interesting theorems
    • Sutcliffe, G., Goebel, R. (eds.). AAAI Press, Menlo Park
    • Puzis, Y., Gao, Y., Sutcliffe, G.: Automated Generation of Interesting Theorems. In: Sutcliffe, G., Goebel, R. (eds.) Proceedings of the 19th International FLAIRS Conference, pp. 49-54. AAAI Press, Menlo Park (2006)
    • (2006) Proceedings of the 19th International FLAIRS Conference , pp. 49-54
    • Puzis, Y.1    Gao, Y.2    Sutcliffe, G.3
  • 20
    • 0036323940 scopus 로고    scopus 로고
    • E: A brainiac theorem prover
    • Schulz, S.: E: A Brainiac Theorem Prover. AI Communications 15(2-3), 111-126 (2002)
    • (2002) AI Communications , vol.15 , Issue.2-3 , pp. 111-126
    • Schulz, S.1
  • 21
    • 76649121166 scopus 로고    scopus 로고
    • External sources of axioms in automated theorem proving
    • Mertsching, B., Hund, M., Aziz, Z. (eds.) KI 2009. Springer, Heidelberg
    • Suda, M., Sutcliffe, G.,Wischnewski, P., Lamotte-Schubert,M., de Melo, G.: External Sources of Axioms in Automated Theorem Proving. In: Mertsching, B., Hund, M., Aziz, Z. (eds.) KI 2009. LNCS (LNAI), vol.5803, pp. 281-288. Springer, Heidelberg (2009)
    • (2009) LNCS (LNAI) , vol.5803 , pp. 281-288
    • Suda, M.1    Sutcliffe, G.2    Wischnewski, P.3    Lamotte-Schubert, M.4    De Melo, G.5
  • 22
    • 77955030603 scopus 로고    scopus 로고
    • System on TPTP
    • McAllester D. (ed.) CADE 2000. Springer, Heidelberg
    • Sutcliffe, G.: SystemOnTPTP. In: McAllester, D. (ed.) CADE 2000. LNCS (LNAI), vol.1831, pp. 406-410. Springer, Heidelberg (2000)
    • (2000) LNCS (LNAI) , vol.1831 , pp. 406-410
    • Sutcliffe, G.1
  • 24
    • 70849115250 scopus 로고    scopus 로고
    • The TPTP problem library and associated infrastructure. The FOF and CNF parts, v3.5.0
    • Sutcliffe, G.: The TPTP Problem Library and Associated Infrastructure. The FOF and CNF Parts, v3.5.0. Journal of Automated Reasoning 43(4), 337-362 (2009)
    • (2009) Journal of Automated Reasoning , vol.43 , Issue.4 , pp. 337-362
    • Sutcliffe, G.1
  • 25
    • 33749549302 scopus 로고    scopus 로고
    • Using the TPTP language for writing derivations and finite interpretations
    • Furbach, U., Shankar, N. (eds.) IJCAR 2006. Springer, Heidelberg
    • Sutcliffe, G., Schulz, S., Claessen, K., Van Gelder, A.: Using the TPTP Language for Writing Derivations and Finite Interpretations. In: Furbach, U., Shankar, N. (eds.) IJCAR 2006. LNCS (LNAI), vol.4130, pp. 67-81. Springer, Heidelberg (2006)
    • (2006) LNCS (LNAI) , vol.4130 , pp. 67-81
    • Sutcliffe, G.1    Schulz, S.2    Claessen, K.3    Van Gelder, A.4
  • 26
    • 0003072334 scopus 로고    scopus 로고
    • Smart selective competition parallelism ATP
    • Kumar, A., Russell I. (eds.). AAAI Press, Menlo Park
    • Sutcliffe, G., Seyfang, D.: Smart Selective Competition Parallelism ATP. In: Kumar, A., Russell, I. (eds.) Proceedings of the 12th International FLAIRS Conference, pp. 341-345. AAAI Press, Menlo Park (1999)
    • (1999) Proceedings of the 12th International FLAIRS Conference , pp. 341-345
    • Sutcliffe, G.1    Seyfang, D.2
  • 27
    • 70350461391 scopus 로고    scopus 로고
    • Multiple answer extraction for question answering with automated theorem proving systems
    • Guesgen, H., Lane C. (eds.). AAAI Press, Menlo Park
    • Sutcliffe, G., Yerikalapudi, A., Trac, S.: Multiple Answer Extraction for Question Answering with Automated Theorem Proving Systems. In: Guesgen, H., Lane, C. (eds.) Proceedings of the 22nd International FLAIRS Conference, pp. 105-110. AAAI Press, Menlo Park (2009)
    • (2009) Proceedings of the 22nd International FLAIRS Conference , pp. 105-110
    • Sutcliffe, G.1    Yerikalapudi, A.2    Trac, S.3
  • 28
    • 34247860714 scopus 로고    scopus 로고
    • An interactive derivation viewer
    • Autexier, S., Benzmüller, C. (eds.) Proceedings of the 7th Workshop on User Interfaces for Theorem Provers, 3rd International Joint Conference on Automated Reasoning
    • Trac, S., Puzis, Y., Sutcliffe, G.: An Interactive Derivation Viewer. In: Autexier, S., Benzmüller, C. (eds.) Proceedings of the 7th Workshop on User Interfaces for Theorem Provers, 3rd International Joint Conference on Automated Reasoning. Electronic Notes in Theoretical Computer Science, vol.174, pp. 109-123 (2006)
    • (2006) Electronic Notes in Theoretical Computer Science , vol.174 , pp. 109-123
    • Trac, S.1    Puzis, Y.2    Sutcliffe, G.3
  • 29
    • 33745672083 scopus 로고    scopus 로고
    • XML-izingMizar: Making semantic processing and presentaion of MML easy
    • Kohlhase M. (ed.) MKM 2005. Springer, Heidelberg
    • Urban, J.: XML-izingMizar: Making Semantic Processing and Presentaion of MML Easy. In: Kohlhase, M. (ed.) MKM 2005. LNCS (LNAI), vol.3863, pp. 346-360. Springer, Heidelberg (2006)
    • (2006) LNCS (LNAI) , vol.3863 , pp. 346-360
    • Urban, J.1
  • 30
    • 33750434461 scopus 로고    scopus 로고
    • MizarMode - An integrated proof assistance tool for the mizar way of formalizing mathematics
    • Urban, J.: MizarMode - An Integrated Proof Assistance Tool for the Mizar Way of Formalizing Mathematics. Journal of Applied Logic 4(4), 414-427 (2006)
    • (2006) Journal of Applied Logic , vol.4 , Issue.4 , pp. 414-427
    • Urban, J.1
  • 31
    • 33846474906 scopus 로고    scopus 로고
    • MPTP 0.2: Design, implementation, and initial experiments
    • Urban, J.: MPTP 0.2: Design, Implementation, and Initial Experiments. Journal of Automated Reasoning 37(1-2), 21-43 (2006)
    • (2006) Journal of Automated Reasoning , vol.37 , Issue.1-2 , pp. 21-43
    • Urban, J.1
  • 32
    • 77954875993 scopus 로고    scopus 로고
    • Automated reasoning for mizar: Artificial intelligence through knowledge exchange
    • Sutcliffe, G., Rudnicki, P., Schmidt, R., Konev, B., Schulz, S. (eds.) Proceedings of the LPAR Workshops: Knowledge Exchange: Automated Provers and Proof Assistants, and The 7th International Workshop on the Implementation of Logics
    • Urban, J.: Automated Reasoning for Mizar: Artificial Intelligence through Knowledge Exchange. In: Sutcliffe, G., Rudnicki, P., Schmidt, R., Konev, B., Schulz, S. (eds.) Proceedings of the LPAR Workshops: Knowledge Exchange: Automated Provers and Proof Assistants, and The 7th International Workshop on the Implementation of Logics. CEUR Workshop Proceedings, vol.418, pp. 1-16 (2008)
    • (2008) CEUR Workshop Proceedings , vol.418 , pp. 1-16
    • Urban, J.1
  • 33
    • 69949181682 scopus 로고    scopus 로고
    • ATP-based cross verification of mizar proofs: Method, systems, and first experiments
    • Urban, J., Sutcliffe, G.: ATP-based Cross Verification of Mizar Proofs: Method, Systems, and First Experiments. Journal ofMathematics in Computer Science 2(2), 231-251 (2009)
    • (2009) Journal of Mathematics in Computer Science , vol.2 , Issue.2 , pp. 231-251
    • Urban, J.1    Sutcliffe, G.2
  • 34
    • 53049092451 scopus 로고    scopus 로고
    • MaLARea SG1: Machine learner for automated reasoning with semantic guidance
    • Baumgartner, P., Armando, A., Gilles, D. (eds.) IJCAR 2008. Springer, Heidelberg
    • Urban, J., Sutcliffe, G., Pudlak, P., Vyskocil, J.: MaLARea SG1: Machine Learner for Automated Reasoning with Semantic Guidance. In: Baumgartner, P., Armando, A., Gilles, D. (eds.) IJCAR 2008. LNCS (LNAI), vol.5195, pp. 441-456. Springer, Heidelberg (2008)
    • (2008) LNCS (LNAI) , vol.5195 , pp. 441-456
    • Urban, J.1    Sutcliffe, G.2    Pudlak, P.3    Vyskocil, J.4
  • 36
    • 35148829967 scopus 로고    scopus 로고
    • SPASS version 3.0
    • Pfenning F. (ed.) CADE 2007. Springer, Heidelberg
    • Weidenbach, C., Schmidt, R., Hillenbrand, T., Rusev, R., Topic, D.: SPASS Version 3.0. In: Pfenning, F. (ed.) CADE 2007. LNCS (LNAI), vol.4603, pp. 514-520. Springer, Heidelberg (2007)
    • (2007) LNCS (LNAI) , vol.4603 , pp. 514-520
    • Weidenbach, C.1    Schmidt, R.2    Hillenbrand, T.3    Rusev, R.4    Topic, D.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.