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CORR
2008
Springer
128views Education» more  CORR 2008»
13 years 4 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
CADE
2006
Springer
14 years 5 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
AISC
2008
Springer
13 years 6 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
JAR
2008
105views more  JAR 2008»
13 years 4 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
CADE
2008
Springer
14 years 5 months ago
Linear Quantifier Elimination
Abstract. This paper presents verified quantifier elimination procedures for dense linear orders (DLO), for real and for integer linear arithmetic. The DLO procedures are new. All ...
Tobias Nipkow