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» Generic Complexity of Presburger Arithmetic
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CONCUR
2010
Springer
13 years 3 months ago
On the Use of Non-deterministic Automata for Presburger Arithmetic
Abstract. A well-known decision procedure for Presburger arithmetic uses deterministic finite-state automata. While the complexity of the decision procedure for Presburger arithme...
Antoine Durand-Gasselin, Peter Habermehl
CASC
2009
Springer
180views Mathematics» more  CASC 2009»
13 years 6 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
JAR
2006
236views more  JAR 2006»
13 years 5 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
CADE
2007
Springer
14 years 5 months ago
Towards Efficient Satisfiability Checking for Boolean Algebra with Presburger Arithmetic
Boolean Algebra with Presburger Arithmetic (BAPA) is a decidable logic that combines 1) Boolean algebra of sets of uninterpreted elements (BA) and 2) Presburger arithmetic (PA). BA...
Viktor Kuncak, Martin C. Rinard