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Volumn 34, Issue 4, 2002, Pages 271-286

A constructive algebraic hierarchy in Coq

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EID: 0036800445     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.2002.0552     Document Type: Article
Times cited : (51)

References (25)
  • 1
    • 0003782940 scopus 로고    scopus 로고
    • The machine-checked literate formalisation of algebra in type theory
    • Ph.D. Thesis, Manchester University
    • Bailey, A. (1999). The machine-checked literate formalisation of algebra in type theory. Ph.D. Thesis, Manchester University.
    • (1999)
    • Bailey, A.1
  • 2
    • 0003712416 scopus 로고    scopus 로고
    • URL: ftp://ftp.inria.fr/INRIA/coq/V6.3.1/doc/Reference-Manual-all.ps.gz
    • Barras et al., B. (2000). The Coq Proof Assistant Reference Manual, URL: ftp://ftp.inria.fr/INRIA/coq/V6.3.1/doc/Reference-Manual-all.ps.gz.
    • (2000) The Coq Proof Assistant Reference Manual
    • Barras, B.1
  • 3
    • 84885618799 scopus 로고    scopus 로고
    • Implicit coercions in type systems
    • Berardi, S., Coppo, M. eds, (Torino, Italy: selected papers), LNCS 1185, Berlin, Springer
    • Barthe, G. (1996). Implicit coercions in type systems. In Berardi, S., Coppo, M. eds, Types for Proofs and Programs: International Workshop TYPES '95, (Torino, Italy: selected papers), LNCS 1185, pp. 1-15. Berlin, Springer.
    • (1996) Types for Proofs and Programs: International Workshop TYPES '95 , pp. 1-15
    • Barthe, G.1
  • 7
    • 0010977465 scopus 로고
    • The QED manifesto
    • Bundy, A. ed., LNAI, Springer
    • Boyer, R. (1994). The QED manifesto. In Bundy, A. ed., Automated Deduction-CADE 12, LNAI 814, pp. 238-251. Springer.
    • (1994) Automated Deduction - CADE 12 , vol.814 , pp. 238-251
    • Boyer, R.1
  • 8
    • 18944368028 scopus 로고    scopus 로고
    • Field: Une procédure de décision pour les nombres réels en Coq
    • INRIA, URL
    • Delahaye, D., Mayero, M. (2001). Field: une procédure de décision pour les nombres réels en Coq. In Proceedings of JFLA'2001, INRIA, URL: http://pauillac.inria.fr/jfla/2001/actes/04-delahaye.ps.
    • (2001) Proceedings of JFLA'2001
    • Delahaye, D.1    Mayero, M.2
  • 9
    • 85007253758 scopus 로고    scopus 로고
    • The FTA project
    • The FTA project (2002). http://www.cs.kun.nl/˜freek/fta/.
    • (2002)
  • 11
    • 85007253747 scopus 로고    scopus 로고
    • Constructive reals in Coq: Axioms and categoricity
    • Durham UK. Springer
    • Geuvers, H., Niqui, M. (2002). Constructive reals in Coq: Axioms and categoricity. In Proceedings of the Workshop Types 2000, Durham UK. Springer.
    • (2002) Proceedings of the Workshop Types 2000
    • Geuvers, H.1    Niqui, M.2
  • 12
    • 84949226301 scopus 로고    scopus 로고
    • Equational reasoning via partial reflection
    • Aagaard, M., Harrison, J. eds, TPHOLs 2000, (Portland), LNCS 1869 Berlin, Springer
    • Geuvers, H., Wiedijk, F., Zwanenburg, J. (2000). Equational reasoning via partial reflection. In Aagaard, M., Harrison, J. eds, Theorem Proving in Higher Order Logics, TPHOLs 2000, (Portland), LNCS 1869, pp. 162-178. Berlin, Springer.
    • (2000) Theorem Proving in Higher Order Logics , pp. 162-178
    • Geuvers, H.1    Wiedijk, F.2    Zwanenburg, J.3
  • 13
    • 85007150641 scopus 로고    scopus 로고
    • A constructive proof of the fundamental theorem of algebra without using the rationals
    • Durham UK. Springer
    • Geuvers, H., Wiedijk, F., Zwanenburg, J. (2002). A constructive proof of the fundamental theorem of algebra without using the rationals. In Proceedings of the Workshop Types 2000, Durham UK. Springer.
    • (2002) Proceedings of the Workshop Types 2000
    • Geuvers, H.1    Wiedijk, F.2    Zwanenburg, J.3
  • 14
    • 0011049941 scopus 로고    scopus 로고
    • Complex quantifier elimination in HOL
    • Boulton, R., Jackson, P. eds, Supplemental Proceedings. Informatics Research Report, Division of Informatics, University of Edinburgh
    • Harrison, J. (2001). Complex quantifier elimination in HOL. In Boulton, R., Jackson, P. eds, TPHOLs 2001, Supplemental Proceedings. Informatics Research Report, pp. 159-174. Division of Informatics, University of Edinburgh.
    • (2001) TPHOLs 2001 , pp. 159-174
    • Harrison, J.1
  • 15
    • 0003552486 scopus 로고
    • Enhancing the Nuprl proof-development system and applying it to computational abstract algebra
    • Ph.D. Thesis, Cornell University
    • Jackson, P. (1995). Enhancing the Nuprl proof-development system and applying it to computational abstract algebra. Ph.D. Thesis, Cornell University.
    • (1995)
    • Jackson, P.1
  • 17
    • 0010982323 scopus 로고
    • Ergänzung zu einer Arbeit von Hellmuth Kneser über den Fundamentalsatz der Algebra
    • Kneser, M. (1981). Ergänzung zu einer Arbeit von Hellmuth Kneser über den Fundamentalsatz der Algebra. Math. Z., 177, 285-287.
    • (1981) Math. Z , vol.177 , pp. 285-287
    • Kneser, M.1
  • 18
    • 0033075029 scopus 로고    scopus 로고
    • Coercive subtyping
    • Luo, Z. (1999). Coercive subtyping. J. Logic Comput., 9, 105-130.
    • (1999) J. Logic Comput , vol.9 , pp. 105-130
    • Luo, Z.1
  • 19
    • 0011049942 scopus 로고    scopus 로고
    • Fundamental theorem of algebra
    • MML Identifier: POLYNOM5
    • Milewski, R. (2000). Fundamental theorem of algebra. J. Formalized Math., 12, MML Identifier: POLYNOM5.
    • (2000) J. Formalized Math , vol.12
    • Milewski, R.1
  • 22
    • 84949189457 scopus 로고    scopus 로고
    • Dependently typed records for representing mathematical structure
    • Aagaard, M., Harrison, J. eds, (Portland), LNCS 1869 Berlin, Springer
    • Pollack, R. (2000). Dependently typed records for representing mathematical structure. In Aagaard, M., Harrison, J. eds, Theorem Proving in Higher Order Logics, TPHOLs 2000, (Portland), LNCS 1869, pp. 462-479. Berlin, Springer.
    • (2000) Theorem Proving in Higher Order Logics, TPHOLs 2000 , pp. 462-479
    • Pollack, R.1
  • 23
    • 0011059365 scopus 로고    scopus 로고
    • Un début de formalisation de l'algèbre en Coq et Ctcoq
    • Web page, URL
    • Pottier, L. (2001). Un début de formalisation de l'algèbre en Coq et Ctcoq. Web page, URL: http: //www-sop.inria.fr/croap/CFC/Ctcoqmath.html.
    • (2001)
    • Pottier, L.1
  • 25
    • 0011021536 scopus 로고    scopus 로고
    • Mizar: An impression
    • unpublished, URL
    • Wiedijk, F. (1999). Mizar: an impression, unpublished, URL: http://www.cs.kun.nl/˜freek/mizar/mizarintro.ps.gz.
    • (1999)
    • Wiedijk, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.