55 search results - page 6 / 11 » Inductive Consequences in the Calculus of Constructions |
KBSE
1997
IEEE
13 years 12 months ago
1997
IEEE
Proofs in the Nuprl system, an implementation of a constructive type theory, yield “correct-by-construction” programs. In this paper a new methodology is presented for extract...
SCP
2011
13 years 2 months ago
2011
A definitional extension LNGMIt of the Calculus of Inductive Constructions (CIC), that underlies the proof assistant Coq, is presented that allows also to program with nested dat...
PR
2007
13 years 7 months ago
2007
This article presents the design of a new functional 2D image segmentation algorithm by cell merging in a subdivision, its proof of total correctness, and the derivation of an opt...
JAR
2010
13 years 6 months ago
2010
Abstract. In this paper we propose an effective procedure for translating a proof term of the Calculus of Inductive Constructions (CIC), which is very similar to a program written...
TCS
2008
13 years 7 months ago
2008
This article presents formalized intuitionistic proofs for the polyhedra genus theorem, the Euler formula and a sufficient condition of planarity. They are based on a hypermap mod...