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CADE
2012
Springer
11 years 10 months ago
A Simplex-Based Extension of Fourier-Motzkin for Solving Linear Integer Arithmetic
Abstract. This paper describes a novel decision procedure for quantifierfree linear integer arithmetic. Standard techniques usually relax the initial problem to the rational domai...
François Bobot, Sylvain Conchon, Evelyne Co...
AISC
2008
Springer
13 years 9 months ago
Parametric Linear Arithmetic over Ordered Fields in Isabelle/HOL
We use higher-order logic to verify a quantifier elimination procedure for linear arithmetic over ordered fields, where the coefficients of variables are multivariate polynomials o...
Amine Chaieb
CORR
2008
Springer
128views Education» more  CORR 2008»
13 years 7 months ago
A Quantifier Elimination Algorithm for Linear Real Arithmetic
We propose a new quantifier elimination algorithm for the theory of linear real arithmetic. This algorithm uses as subroutines satisfiability modulo this theory and polyhedral pro...
David Monniaux
UIST
1997
ACM
13 years 12 months ago
Solving Linear Arithmetic Constraints for User Interface Applications
Linear equality and inequality constraints arise naturally in specifying many aspects of user interfaces, such as requiring that one window be to the left of another, requiring th...
Alan Borning, Kim Marriott, Peter J. Stuckey, Yi X...
JAR
2008
105views more  JAR 2008»
13 years 7 months ago
Proof Synthesis and Reflection for Linear Arithmetic
This article presents detailed implementations of quantifier elimination for both integer and real linear arithmetic for theorem provers. The underlying algorithms are those by Coo...
Amine Chaieb, Tobias Nipkow