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FROCOS
2000
Springer
13 years 10 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio
CADE
2007
Springer
14 years 7 months ago
First Order Reasoning on a Large Ontology
We present results of our work on using first order theorem proving to reason over a large ontology (the Suggested Upper Merged Ontology ? SUMO), and methods for making SUMO suita...
Adam Pease, Geoff Sutcliffe
CAV
2009
Springer
163views Hardware» more  CAV 2009»
14 years 7 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
FMCAD
2006
Springer
13 years 10 months ago
Finite Instantiations for Integer Difference Logic
The last few years have seen the advent of a new breed of decision procedures for various fragments of first-order logic based on ional abstraction. A lazy satisfiability checker ...
Hyondeuk Kim, Fabio Somenzi
CADE
2010
Springer
13 years 8 months ago
iProver-Eq: An Instantiation-Based Theorem Prover with Equality
iProver-Eq is an implementation of an instantiation-based calculus Inst-Gen-Eq which is complete for first-order logic with equality. iProver-Eq extends the iProver system with sup...
Konstantin Korovin, Christoph Sticksel