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» Rewriting modulo in Deduction modulo
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FROCOS
2009
Springer
13 years 11 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
CORR
2008
Springer
148views Education» more  CORR 2008»
13 years 3 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
CORR
2006
Springer
116views Education» more  CORR 2006»
13 years 4 months ago
Rewriting modulo in Deduction modulo
Abstract. We study the termination of rewriting modulo a set of equations in the Calculus of Algebraic Constructions, an extension of the Calculus of Constructions with functions a...
Frédéric Blanqui
IANDC
2010
141views more  IANDC 2010»
13 years 3 months ago
Regaining cut admissibility in deduction modulo using abstract completion
stract Completion Guillaume Burel a,c,∗ Claude Kirchner b,c aNancy-Universit´e, Universit´e Henri Poincar´e bINRIA Bordeaux - Sud-Ouest cLORIA, ´Equipe Pareo, Bˆatiment B, C...
Guillaume Burel, Claude Kirchner
CADE
2004
Springer
14 years 4 months ago
TaMeD: A Tableau Method for Deduction Modulo
Deduction modulo is a theoretical framework for reasoning modulo a congruence on propositions. Computational steps are thus removed from proofs, thus allowing a clean separatation...
Richard Bonichon