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CSL
2010
Springer
13 years 12 months ago
Coq Modulo Theory
Pierre-Yves Strub
CORR
2006
Springer
110views Education» more  CORR 2006»
13 years 11 months ago
Definitions by Rewriting in the Calculus of Constructions
Abstract : The main novelty of this paper is to consider an extension of the Calculus of Constructions where predicates can be defined with a general form of rewrite rules. We prov...
Frédéric Blanqui
CORR
2008
Springer
148views Education» more  CORR 2008»
13 years 9 months ago
Efficiently Simulating Higher-Order Arithmetic by a First-Order Theory Modulo
In deduction modulo, a theory is not represented by a set of axioms but by a congruence on propositions modulo which the inference rules of standard deductive systems--such as for ...
Guillaume Burel
MKM
2009
Springer
14 years 5 months ago
Finite Groups Representation Theory with Coq
Representation theory is a branch of algebra that allows the study of groups through linear applications, i.e. matrices. Thus problems in abstract groups can be reduced to problems...
Sidi Ould Biha
FROCOS
2009
Springer
14 years 5 months ago
Automating Theories in Intuitionistic Logic
Deduction modulo consists in applying the inference rules of a deductive system modulo a rewrite system over terms and formulæ. This is equivalent to proving within a so-called co...
Guillaume Burel