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» Ario: A Linear Integer Arithmetic Logic Solver
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JSC
2006
147views more  JSC 2006»
13 years 6 months ago
An algorithm to solve integer linear systems exactly using numerical methods
In this paper, we present a new algorithm for the exact solutions of linear systems with integer coefficients using numerical methods. It terminates with the correct answer in wel...
Zhendong Wan
CADE
2008
Springer
14 years 6 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
TACAS
2009
Springer
109views Algorithms» more  TACAS 2009»
14 years 1 months ago
TaPAS: The Talence Presburger Arithmetic Suite
TAPAS is a suite of libraries dedicated to FO (R, Z, +, ≤). The suite provides (1) the application programming interface GENEPI for this logic with encapsulations of many classic...
Jérôme Leroux, Gérald Point
RC
2002
100views more  RC 2002»
13 years 6 months ago
Efficient Interval Linear Equality Solving in Constraint Logic Programming
Existing interval constraint logic programming languages, such as BNR Prolog, work under the framework of interval narrowing and are deficient in solving systems of linear constrai...
Chong-Kan Chiu, Jimmy Ho-Man Lee
JAR
2008
105views more  JAR 2008»
13 years 6 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