메뉴 건너뛰기




Volumn 4130 LNAI, Issue , 2006, Pages 205-219

Combining type theory and untyped set theory

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATA THEORY; PROBLEM SOLVING; THEOREM PROVING;

EID: 33749557168     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11814771_19     Document Type: Conference Paper
Times cited : (7)

References (22)
  • 2
    • 33745663623 scopus 로고    scopus 로고
    • On sets, types, fixed points, and checkerboards
    • Pierangelo Miglioli, Ugo Moscato, Daniele Mundici, and Mario Ornaghi, editors, Theorem Proving with Analytic Tableaux and Related Methods. 5th International Workshop. (TABLEAUX '96), Terrasini, Italy, May. Springer-Verlag
    • Peter B. Andrews and Matthew Bishop. On sets, types, fixed points, and checkerboards. In Pierangelo Miglioli, Ugo Moscato, Daniele Mundici, and Mario Ornaghi, editors, Theorem Proving with Analytic Tableaux and Related Methods. 5th International Workshop. (TABLEAUX '96), volume 1071 of Lecture Notes in Artificial Intelligence, pages 1-15, Terrasini, Italy, May 1996. Springer-Verlag.
    • (1996) Lecture Notes in Artificial Intelligence , vol.1071 , pp. 1-15
    • Andrews, P.B.1    Bishop, M.2
  • 3
    • 84937433539 scopus 로고    scopus 로고
    • System description: TPS: A theorem proving system for type theory
    • David McAllester, editor, Proceedings of the 17th International Conference on Automated Deduction, Pittsburgh, PA, USA. Springer-Verlag
    • Peter B. Andrews, Matthew Bishop, and Chad E. Brown. System description: TPS: A theorem proving system for type theory. In David McAllester, editor, Proceedings of the 17th International Conference on Automated Deduction, volume 1831 of Lecture Notes in Artificial Intelligence, pages 164-169, Pittsburgh, PA, USA, 2000. Springer-Verlag.
    • (2000) Lecture Notes in Artificial Intelligence , vol.1831 , pp. 164-169
    • Andrews, P.B.1    Bishop, M.2    Brown, C.E.3
  • 4
    • 33846478508 scopus 로고    scopus 로고
    • Formalizing set theory as it is actually used
    • Andrea Asperti, Grzegorz Bancerek, and Andrzej Trybulec, editors, MKM. Springer
    • Arnon Avron. Formalizing set theory as it is actually used. In Andrea Asperti, Grzegorz Bancerek, and Andrzej Trybulec, editors, MKM, volume 3119 of Lecture Notes in Computer Science, pages 32-43. Springer, 2004.
    • (2004) Lecture Notes in Computer Science , vol.3119 , pp. 32-43
    • Avron, A.1
  • 5
    • 0033086169 scopus 로고    scopus 로고
    • Computer proofs in Gödel's class theory with equational definitions for composite and cross
    • J.G.F. Belinfante. Computer Proofs in Gödel's class theory with equational definitions for composite and cross. Journal of Automated Reasoning, 22:311-339, 1999.
    • (1999) Journal of Automated Reasoning , vol.22 , pp. 311-339
    • Belinfante, J.G.F.1
  • 7
    • 18144365889 scopus 로고    scopus 로고
    • A tableaubased decision procedure for a fragment of set theory1 with iterated membership
    • Domenico Cantone, Calogero G. Zarba, and Rosa Ruggeri-Cannata. A tableaubased decision procedure for a fragment of set theory1 with iterated membership. Journal of Automated Reasoning, 34(1):49-72, 2005.
    • (2005) Journal of Automated Reasoning , vol.34 , Issue.1 , pp. 49-72
    • Cantone, D.1    Zarba, C.G.2    Ruggeri-Cannata, R.3
  • 9
    • 0034836193 scopus 로고    scopus 로고
    • Stmm: A set theory for mechanized mathematics
    • William M. Farmer. Stmm: A set theory for mechanized mathematics. J. Autom. Reasoning, 26(3):269-289, 2001.
    • (2001) J. Autom. Reasoning , vol.26 , Issue.3 , pp. 269-289
    • Farmer, W.M.1
  • 10
    • 84956867059 scopus 로고    scopus 로고
    • Set theory, higher order logic or both?
    • Joakim von Wright, Jim Grundy, and John Harrison, editors, TPHOLs. Springer
    • Michael J. C. Gordon. Set theory, higher order logic or both? In Joakim von Wright, Jim Grundy, and John Harrison, editors, TPHOLs, volume 1125 of Lecture Notes in Computer Science, pages 191-201. Springer, 1996.
    • (1996) Lecture Notes in Computer Science , vol.1125 , pp. 191-201
    • Gordon, M.J.C.1
  • 15
    • 27744480172 scopus 로고    scopus 로고
    • Martin-löf's type theory
    • Samson Abramsky et al., editors. Oxford University Press
    • Bengt Nordström, Kent Petersson, and Jan Smith. Martin-löf's type theory. In Samson Abramsky et al., editors, Handbook of Logic in Computer Science, volume 5. Oxford University Press, 2000.
    • (2000) Handbook of Logic in Computer Science , vol.5
    • Nordström, B.1    Petersson, K.2    Smith, J.3
  • 16
    • 0029387254 scopus 로고
    • Set theory for verification: II. Induction and recursion
    • Lawrence C. Paulson. Set Theory for Verification: II. Induction and Recursion. Journal of Automated Reasoning, 15(2):167-215, 1995.
    • (1995) Journal of Automated Reasoning , vol.15 , Issue.2 , pp. 167-215
    • Paulson, L.C.1
  • 17
    • 35448990873 scopus 로고    scopus 로고
    • System description: Twelf-a MetaLogical framework for deductive systems
    • Harald Ganzinger, editor, Proceedings of the 16th International Conference on Automated Deduction, Trento, Italy. Springer-Verlag
    • Frank Pfenning and Garsten Schürmann. System Description: Twelf-A MetaLogical Framework for Deductive Systems. In Harald Ganzinger, editor, Proceedings of the 16th International Conference on Automated Deduction, volume 1632 of Lecture Notes in Artificial Intelligence, pages 202-206, Trento, Italy, 1999. Springer-Verlag.
    • (1999) Lecture Notes in Artificial Intelligence , vol.1632 , pp. 202-206
    • Pfenning, F.1    Schürmann, G.2
  • 19
    • 35048894084 scopus 로고    scopus 로고
    • Proof irrelevance and strict definitions in a logical framework
    • School of Computer Science, Carnegie Mellon University
    • Jason Reed. Proof irrelevance and strict definitions in a logical framework. Technical Report 02-153, School of Computer Science, Carnegie Mellon University, 2002.
    • (2002) Technical Report , vol.2 , Issue.153
    • Reed, J.1
  • 20
    • 84867820806 scopus 로고    scopus 로고
    • Vampire 1.1. (system description)
    • Rajeev Gore, Alexander Leitsch, and Tobias Nipkow, editors, Automated Reasoning, First International Joint Conference, IJCAR, Siena, Italy, January. Springer Verlag
    • A. Riazanov and A. Voronkov. Vampire 1.1. (system description). In Rajeev Gore, Alexander Leitsch, and Tobias Nipkow, editors, Automated Reasoning, First International Joint Conference, IJCAR, volume LNAI 2083 of Lecture Notes in Artificial Intelligence, pages 376-380, Siena, Italy, January 2001. Springer Verlag.
    • (2001) Lecture Notes in Artificial Intelligence , vol.LNAI 2083 , pp. 376-380
    • Riazanov, A.1    Voronkov, A.2
  • 21
    • 0035817898 scopus 로고    scopus 로고
    • Type inference for set theory
    • Raymond Turner. Type inference for set theory. Theor. Comput. Sci., 266(1-2):951-974, 2001.
    • (2001) Theor. Comput. Sci. , vol.266 , Issue.1-2 , pp. 951-974
    • Turner, R.1
  • 22
    • 33749541870 scopus 로고    scopus 로고
    • Is ZF a hack? Comparing the complexity of some (formalist interpretations of) foundational systems for mathematics
    • to appear
    • Freek Wiedijk. Is ZF a hack? Comparing the complexity of some (formalist interpretations of) foundational systems for mathematics. Journal of Applied Logic, 4, 2006. to appear.
    • (2006) Journal of Applied Logic , vol.4
    • Wiedijk, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.