Formalizing Hilbert's Grundlagen in Isabelle/Isar

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2758, Issue , 2003, Pages 319-334

  Meikle, Laura I ^a   Fleuriot, Jacques D ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FORMAL LOGIC;

HIGHER ORDER LOGIC; HILBERT; INTERACTIVE THEOREM PROVER; ISABELLE; MECHANIZED PROOFS;

THEOREM PROVING;

EID: 33745326656     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/10930755_21     Document Type: Article

References (12)

1. S. C. Chou, X. S. Gao, and J. Z. Zhang. Automated generation of readable proofs with geometric invariants, I. multiple and shortest proof generation. Journal of Automated Reasoning, 17:325-347, 1996.
2. A. Church. A formulation of the simple theorey of type. Journal of Symbolic Logic, 5:56-68, 1940.
3. C. Dehlinger, J. Duford & P. Schreck. Higher-Order Intuitionistic Formalization and Proofs in Hilbert's Elementary Geometry. Automated deduction in Geometry, Springer, pages 306-323, 2001.
4. M. Gordon and T. Melham. Introduction to HOL: A theorem proving enviroment for Higher Order Logic. Cambridge University Press, 1993.
5. D. Hilbert. The Foundations of Geometry. The Open Court Company, 2001, 11th edition. Translation by Leo Unger.
6. D. Hilbert. The Foundations of Geometry. The Open Court Company, 1901, 1st edition. Translation by E. J. Townsend.
7. L. C. Paulson. Isabelle: A Generic Theorem Prover. Lecture Notes in Computer Science, Volume 828. Springer, 1994.
8. K. M. Podnieks. Around Goedel's Theorem. 2nd edition, Latvian State University Press, 1992.
9. A. Quaife. Automated Development of Fundamental Mathematical Theories. Kluwer, 1992.
10. D. Wang. Geometry Machines: From AI to SMC. Proceedings of the 3rd International Conference on Artificial Intelligence and Symbolic Mathematical Computation (AISMC-3), LNCS 1138, pp. 213-239, 1996.
11. Markus Wenzel. The Isabelle/Isar Reference Manual. Technische Universität München, 2002. http://isabelle.in.tum.de/dist/Isabelle2002/doc/isar-ref.pdf.
12. W. Wu. Basic principles of mechanical theorem proving in elementary geometries. Journal of Automated Reasoning, 2:221-252, 1986.