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CASC
2009
Springer
180views Mathematics» more  CASC 2009»
13 years 8 months ago
Effective Quantifier Elimination for Presburger Arithmetic with Infinity
We consider Presburger arithmetic extended by infinity. For this we give an effective quantifier elimination and decision procedure which implies also the completeness of our exten...
Aless Lasaruk, Thomas Sturm
CADE
2006
Springer
14 years 7 months ago
Verifying Mixed Real-Integer Quantifier Elimination
Abstract. We present a formally verified quantifier elimination procedure for the first order theory over linear mixed real-integer arithmetics in higher-order logic based on a wor...
Amine Chaieb
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...
JAR
2006
236views more  JAR 2006»
13 years 7 months ago
Deciding Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
CASC
2006
Springer
128views Mathematics» more  CASC 2006»
13 years 11 months ago
New Domains for Applied Quantifier Elimination
We address various aspects of our computer algebra-based computer logic system redlog. There are numerous examples in the literature for successful applications of redlog to practi...
Thomas Sturm