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» The Craig Interpolation Theorem in abstract model theory
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TACAS
2009
Springer
99views Algorithms» more  TACAS 2009»
14 years 2 months ago
Ground Interpolation for the Theory of Equality
Abstract. Given a theory T and two formulas A and B jointly unsatisfiable in T , a theory interpolant of A and B is a formula I such that (i) its non-theory symbols are shared by ...
Alexander Fuchs, Amit Goel, Jim Grundy, Sava Krsti...
LPAR
2010
Springer
13 years 5 months ago
Interpolating Quantifier-Free Presburger Arithmetic
Craig interpolation has become a key ingredient in many symbolic model checkers, serving as an approximative replacement for expensive quantifier elimination. In this paper, we foc...
Daniel Kroening, Jérôme Leroux, Phili...
CORR
2007
Springer
124views Education» more  CORR 2007»
13 years 7 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
ICCAD
2006
IEEE
138views Hardware» more  ICCAD 2006»
14 years 1 months ago
Stepping forward with interpolants in unbounded model checking
This paper addresses SAT-based Unbounded Model Checking based on Craig Interpolants. This recently introduced methodology is often able to outperform BDDs and other SAT-based tech...
Gianpiero Cabodi, Marco Murciano, Sergio Nocco, St...
TACAS
2009
Springer
144views Algorithms» more  TACAS 2009»
14 years 3 hour ago
Computing Optimized Representations for Non-convex Polyhedra by Detection and Removal of Redundant Linear Constraints
Abstract. We present a method which computes optimized representations for non-convex polyhedra. Our method detects so-called redundant linear constraints in these representations ...
Christoph Scholl, Stefan Disch, Florian Pigorsch, ...