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MPC
1995
Springer
125views Mathematics» more  MPC 1995»
14 years 2 months ago
Synthesizing Proofs from Programs in the Calculus of Inductive Constructions
We want to prove \automatically" that a program is correct with respect to a set of given properties that is a speci cation. Proofs of speci cations contain logical parts and ...
Catherine Parent
CORR
2008
Springer
122views Education» more  CORR 2008»
13 years 11 months ago
From formal proofs to mathematical proofs: a safe, incremental way for building in first-order decision procedures
Abstract We investigate here a new version of the Calculus of Inductive Constructions (CIC) on which the proof assistant Coq is based: the Calculus of Congruent Inductive Construct...
Frédéric Blanqui, Jean-Pierre Jouann...
SOSL
1993
14 years 2 months ago
Verifying Process Algebra Proofs in Type Theory
In this paper we study automatic veri cation of proofs in process algebra. Formulas of process algebra are represented by types in typed -calculus. Inhabitants (terms) of these ty...
M. P. A. Sellink
TPHOL
2007
IEEE
14 years 5 months ago
Extracting Purely Functional Contents from Logical Inductive Types
We propose a method to extract purely functional contents from logical inductive types in the context of the Calculus of Inductive Constructions. This method is based on a mode con...
David Delahaye, Catherine Dubois, Jean-Fréd...
JAR
2010
108views more  JAR 2010»
13 years 9 months ago
Procedural Representation of CIC Proof Terms
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...
Ferruccio Guidi