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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
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
LPAR
2005
Springer
13 years 10 months ago
Decision Procedures for SAT, SAT Modulo Theories and Beyond. The BarcelogicTools
An overview is given of a number of recent developments in SAT and SAT Modulo Theories (SMT). In particular, based on our k of Abstract DPLL and Abstract DPLL modulo Theories, we e...
Robert Nieuwenhuis, Albert Oliveras
CAV
2009
Springer
163views Hardware» more  CAV 2009»
14 years 5 months ago
Complete Instantiation for Quantified Formulas in Satisfiabiliby Modulo Theories
Quantifier reasoning in Satisfiability Modulo Theories (SMT) is a long-standing challenge. The practical method employed in modern SMT solvers is to instantiate quantified formulas...
Leonardo Mendonça de Moura, Yeting Ge
LPAR
2004
Springer
13 years 10 months ago
Abstract DPLL and Abstract DPLL Modulo Theories
DPLL and DPLL Modulo Theories Robert Nieuwenhuis , Albert Oliveras , and Cesare Tinelli We introduce Abstract DPLL, a general and simple abstract rule-based formulation of the Davi...
Robert Nieuwenhuis, Albert Oliveras, Cesare Tinell...