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Volumn 3223, Issue , 2004, Pages 225-240

A Decision Procedure for Geometry in Coq

Author keywords

[No Author keywords available]

Indexed keywords

FORMAL LOGIC; GEOMETRY;

EID: 26844496755     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-30142-4_17     Document Type: Article
Times cited : (31)

References (18)
  • 1
    • 84957610021 scopus 로고    scopus 로고
    • Using reflection to build efficient and certified decision procedures
    • M. Abadi and T. Ito, editors, Proceedings of TACS'97, Springer-Verlag
    • S. Boutin. Using reflection to build efficient and certified decision procedures. In M. Abadi and T. Ito, editors, Proceedings of TACS'97, volume 1281 of LNCS. Springer-Verlag, 1997.
    • (1997) LNCS , vol.1281
    • Boutin, S.1
  • 4
    • 85029837057 scopus 로고
    • Quantifier elimination for real closed fields by cylindrical algebraic decomposition
    • Springer-Verlag
    • G. E. Collins. Quantifier elimination for real closed fields by cylindrical algebraic decomposition. In Lecture Notes In Computer Science, volume 33, pages 134-183. Springer-Verlag, 1975.
    • (1975) Lecture Notes in Computer Science , vol.33
    • Collins, G.E.1
  • 5
    • 81755166754 scopus 로고    scopus 로고
    • Higher-order intuitionistic formalization and proofs in Hubert's elementary geometry
    • Christophe Dehlinger, Jean-François Dufourd, and Pascal Schreck. Higher-order intuitionistic formalization and proofs in Hubert's elementary geometry. In Automated Deduction in Geometry, pages 306-324, 2000.
    • (2000) Automated Deduction in Geometry , pp. 306-324
    • Dehlinger, C.1    Dufourd, J.-F.2    Schreck, P.3
  • 6
    • 35048841833 scopus 로고    scopus 로고
    • Presses Universitaires de France, Traduit par Bernard Vitrac.
    • Euclide. Les éléments. Presses Universitaires de France, 1998. Traduit par Bernard Vitrac.
    • (1998) Les Éléments
    • Euclide1
  • 7
    • 35048860067 scopus 로고    scopus 로고
    • Formalisation en coq d'un cours de géométrie pour le lycée
    • Janvier
    • Fréderique Guilhot. Formalisation en coq d'un cours de géométrie pour le lycée. In Journées Francophones des Langages Applicatifs, Janvier 2004.
    • (2004) Journées Francophones des Langages Applicatifs
    • Guilhot, F.1
  • 9
    • 0004123801 scopus 로고
    • Meta theory and reflection in theorem proving:a survey and critique
    • SRI International Cambridge Computer Science Research Center
    • J. Harrison. Meta theory and reflection in theorem proving:a survey and critique. Technical Report CRC-053, SRI International Cambridge Computer Science Research Center, 1995.
    • (1995) Technical Report CRC-053
    • Harrison, J.1
  • 10
    • 2742574117 scopus 로고
    • Dunod, Paris, Jacques Gabay edition, Edition critique avec introduction et compléments préparée par Paul Rossier
    • David Hubert. Les fondements de la géométrie. Dunod, Paris, Jacques Gabay edition, 1971. Edition critique avec introduction et compléments préparée par Paul Rossier.
    • (1971) Les Fondements de la Géométrie
    • Hubert, D.1
  • 13
    • 79951755590 scopus 로고    scopus 로고
    • The Coq development team
    • LogiCal Project, Version 8.0.
    • The Coq development team. The Coq proof assistant reference manual. LogiCal Project, 2004. Version 8.0.
    • (2004) The Coq Proof Assistant Reference Manual
  • 16
    • 84891418529 scopus 로고
    • What is elementary geometry?
    • P. Suppes L. Henkin and A. Tarski, editors, Amsterdam, North-Holland.
    • A. Tarski. What is elementary geometry? In P. Suppes L. Henkin and A. Tarski, editors, The axiomatic Method, with special reference to Geometry and Physics, pages 16-29, Amsterdam, 1959. North-Holland.
    • (1959) The Axiomatic Method, with Special Reference to Geometry and Physics
    • Tarski, A.1
  • 17
  • 18
    • 0003343439 scopus 로고
    • On the decision problem and the mechanization of theorem proving in elementary geometry
    • Wen-Tsün Wu. On the decision problem and the mechanization of theorem proving in elementary geometry. In Scientia Sinica, volume 21, pages 157-179. 1978.
    • (1978) Scientia Sinica , vol.21
    • Wu, W.-T.1


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