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131
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JSC
2010
120views more  JSC 2010»
15 years 2 months ago
Theory decision by decomposition
The topic of this article is decision procedures for satisfiability modulo theories (SMT) of arbitrary quantifier-free formulæ. We propose an approach that decomposes the formu...
Maria Paola Bonacina, Mnacho Echenim
133
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ITP
2010
172views Mathematics» more  ITP 2010»
15 years 7 months ago
Equations: A Dependent Pattern-Matching Compiler
Abstract. We present a compiler for definitions made by pattern matching on inductive families in the Coq system. It allows to write structured, recursive dependently-typed functi...
Matthieu Sozeau
143
Voted
TYPES
1998
Springer
15 years 8 months ago
Proof Normalization Modulo
We define a generic notion of cut that applies to many first-order theories. We prove a generic cut elimination theorem showing that the cut elimination property holds for all theo...
Gilles Dowek, Benjamin Werner
152
Voted
LICS
2007
IEEE
15 years 10 months ago
Principles of Superdeduction
In predicate logic, the proof that a theorem P holds in a theory Th is typically conducted in natural deduction or in the sequent calculus using all the information contained in t...
Paul Brauner, Clément Houtmann, Claude Kirc...
139
Voted
CSL
2010
Springer
15 years 4 months ago
Embedding Deduction Modulo into a Prover
Deduction modulo consists in presenting a theory through rewrite rules to support automatic and interactive proof search. It induces proof search methods based on narrowing, such a...
Guillaume Burel