Formal program development in geometric modeling

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

Volumn 1641, Issue , 1999, Pages 62-76

  Puitg, François ^a   Dufourd, Jean François ^a  

^a Faculté de Médecine   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; GEOMETRY; THEOREM PROVING;

AUTOMATIC EXTRACTION; AXIOMATIZATION; CALCULUS OF INDUCTIVE CONSTRUCTIONS; COMBINATORIAL MAPS; FORMAL PROGRAM DEVELOPMENT; GEOMETRIC MODELING; PARTIAL RELATIONS; SUBTYPINGS;

FORMAL METHODS;

EID: 84957682106     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-48257-1_3     Document Type: Conference Paper

References (14)

1. J.A. Bergstra, J. Herig, et al. Algebraic Specification. ACM Press, 1988.
2. Y. Bertrand and J.-F. Dufourd. Algebraic Specification of a 3D-Modeler Based on Hypermaps. Graphical Models and Image Processing, 56(1):29 - 60, 1994.
3. J.-F. Dufourd. Algebras and Formed Specifications in Geometric Modeling. In The Visual Computer, pages 131 - 154. Spinger-Verlag, 1997.
4. J.A. Goguen et al. Introducing OBJ3. In Applications of Algebraic Specifications Using OBJ. Cambridge University Press, 1992.
5. F. Puitg and J.-F. Dufourd. Formal Specifications and Theorem Proving Breakthroughs in Geometric Modelling. In Theorem Proving in Higher Order Logics, Canberra (Australia), September 1998. Springer-Verlag, LNCS. http://dpt-info.u- strasbg.fr/~puitg/tphol98/main.html.
6. P. Lienhardt. Topological Models for Boundary Representation: A Survey. In Computer Aided Design, volume 23(1), pages 59 - 81. 1991.
7. A. Jacques. Constellations et Graphes Topologiques. In Combinatorial Theory and Applications, pages 657 - 673. Budapest (Hungary), 1970.
8. W. Tutte. Combinatorial Oriented Maps. In Canadian Journal of Mathematics, volume XXXI(2), pages 986 - 1004. 1979.
9. A. Jacques. Sur le Genre d'une Paire de Substitutions. Notes des membres et correspondants, volume 267, pages 625 - 627, 1968.
10. R. Cori. Un Code pour les Graphes Planaires et ses Applications. Socit Math, de France, Paris, Astérisque 27, 1975.
11. F. Puitg and J.-F. Dufourd. Combinatorial Maps and Planarity: Formal Specifications and Proofs in the Calculus of Inductive Constructions. Tech. Rep. 98/05 (100 pages), LSIIT, Strasbourg (France), 1998. http://dpt-info.u- strasbg.fr/~puitg/rr98/main.html.
12. C. Paulin-Mohring. Inductive Definitions in the System Coq - Rules and Properties. In Typed Lambda-calculi and Applications. LNCS 664, 1993.
13. C. Cornes et al. The Coq Proof Assistant Reference Manual V6.1. INRIA- Rocquencourt, CNRS-ENS Lyon (France), December 1996.
14. C. Parent. Synthesizing Proofs from Programs in the Calculus of Inductive Constructions. In Mathematics of Program Construction. LNCS 947, 1995.