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» Proof Systems for Effectively Propositional Logic
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FMCAD
2006
Springer
15 years 1 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
POPL
2008
ACM
15 years 10 months ago
Cyclic proofs of program termination in separation logic
We propose a novel approach to proving the termination of heapmanipulating programs, which combines separation logic with cyclic proof within a Hoare-style proof system. Judgement...
James Brotherston, Richard Bornat, Cristiano Calca...
DLOG
1998
14 years 11 months ago
Comparing Subsumption Optimizations
Effective systems for expressive description logics require a heavily-optimised subsumption checker incorporating a range of optimisation techniques. Because of the correspondence...
Ian Horrocks, Peter F. Patel-Schneider
LICS
2008
IEEE
15 years 4 months ago
On the Asymptotic Nullstellensatz and Polynomial Calculus Proof Complexity
We show that the asymptotic complexity of uniformly generated (expressible in First-Order (FO) logic) propositional tautologies for the Nullstellensatz proof system (NS) as well a...
Søren Riis
LICS
2003
IEEE
15 years 2 months ago
New Directions in Instantiation-Based Theorem Proving
We consider instantiation-based theorem proving whereby instances of clauses are generated by certain inferences, and where inconsistency is detected by propositional tests. We gi...
Harald Ganzinger, Konstantin Korovin