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» Experimenting with Deduction Modulo
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CADE
2011
Springer
9 years 4 months ago
Experimenting with Deduction Modulo
Deduction modulo is a generic framework to describe proofs in a theory better than using raw axioms. This is done by presenting the theory through rules rewriting terms and proposi...
Guillaume Burel
CORR
2008
Springer
148views Education» more  CORR 2008»
10 years 2 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
FROCOS
2009
Springer
10 years 10 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
2006
Springer
116views Education» more  CORR 2006»
10 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
CADE
2004
Springer
11 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
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