A path to faithful formalizations of mathematics

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

Volumn 3119, Issue , 2004, Pages 145-159

  Jojgov, Gueorgui ^a   Nederpelt, Rob ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

KNOWLEDGE MANAGEMENT;

ADDED VALUES; COMMON MATHEMATICAL LANGUAGES; HIGH CONFIDENCE; INTERMEDIATE REPRESENTATIONS; OPEN TERMS; TYPE THEORY; WEAK TYPE THEORY;

FORMAL LANGUAGES;

EID: 33745663890     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-27818-4_11     Document Type: Article

References (11)

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3. L.S. van Benthem Jutting, Checking Landau's "Grundlagen" in the Automath System, in: R.P. Nederpelt, J.H. Geuvers, and R.C. de Vrijer (eds.), Selected Papers on Automath, volume 133 of Studies in Logic and Foundations of Mathematics, pp. 701-732, North Holland, 1994.
4. N.G. de Bruijn, The mathematical language Automath, its usage and some of its extensions, in: R.P. Nederpelt, J.H. Geuvers, and R.C. de Vrijer (eds.), Selected Papers on Automath, volume 133 of Studies in Logic and Foundations of Mathematics, North Holland, 1994.
5. The Coq Development Team, The Coq Proof Assistant Reference Manual - Version V7.4, February 2003, http://coq.inria.fr/.
6. G.I. Jojgov, Incomplete Proofs and Terms and Their Use in Interactive Theorem Proving, PhD thesis, Eindhoven University of Technology, 2004.
7. G.I. Jojgov, R.P. Nederpelt, and M. Scheffer. Faithfully reflecting the structure of informal mathematical proofs into formal type theories, in: Proceedings of the MKM Symposium 2003, Elsevier, 2003.
8. F. Kamareddine and R. Nederpelt, A refinement of de Bruijn's formal language of mathematics, to appear in Journal of Logic, Language and Information.
9. R. Nederpelt, Weak Type Theory: A formal language for mathematics, Technical report, Eindhoven University of Technology, May 2002.
10. R. Pollack, The LEGO Proof Assistant, http://www.dcs.ed.ac.uk/home/lego/ index.html.
11. P. Rudnicki, An overview of the Mizar project, in: Proceedings of the 1992 Workshop on Types for Proofs and Programs, 1992, http://www.mizar.org.