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» The logic of proofs, semantically
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JAR
2010
108views more  JAR 2010»
13 years 9 months ago
Procedural Representation of CIC Proof Terms
Abstract. In this paper we propose an eļ¬€ective procedure for translating a proof term of the Calculus of Inductive Constructions (CIC), which is very similar to a program written...
Ferruccio Guidi
PEPM
2010
ACM
14 years 7 months ago
From higher-order logic to Haskell: there and back again
We present two tools which together allow reasoning about (a substantial subset of) Haskell programs. One is the code generator of the proof assistant Isabelle, which turns speciļ...
Florian Haftmann
TPHOL
2009
IEEE
14 years 5 months ago
Extended First-Order Logic
ion and equality to base types but retains lambda abstractions and higher-order variables. We show that this fragment enjoys the characteristic properties of ļ¬rst-order logic: co...
Chad E. Brown, Gert Smolka
LOPSTR
2000
Springer
14 years 2 months ago
A formal framework for synthesis and verification of logic programs
In this paper we will present a formal framework, based on the notion of extraction calculus, which has been successfully applied to define procedures for extracting information fr...
Alessandro Avellone, Mauro Ferrari, Camillo Fioren...
CIE
2005
Springer
14 years 4 months ago
A Logical Approach to Abstract Algebra
L APPROACH TO ABSTRACT ALGEBRA THIERRY COQUAND AND HENRI LOMBARDI Recent work in constructive mathematics show that Hilbertā€™s program works rge part of abstract algebra. Using in...
Thierry Coquand