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CORR
2008
Springer
148views Education» more  CORR 2008»
14 years 11 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
113
Voted
FROCOS
2009
Springer
15 years 7 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
89
Voted
LPAR
2005
Springer
15 years 6 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
122
Voted
CAV
2009
Springer
163views Hardware» more  CAV 2009»
16 years 1 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
114
Voted
LPAR
2004
Springer
15 years 6 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...