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» Cutting to the Chase Solving Linear Integer Arithmetic
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CADE
2011
Springer
12 years 4 months ago
Cutting to the Chase Solving Linear Integer Arithmetic
Abstract. We describe a new algorithm for solving linear integer programming problems. The algorithm performs a DPLL style search for a feasible assignment, while using a novel cut...
Dejan Jovanovic, Leonardo Mendonça de Moura
CADE
2012
Springer
11 years 7 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...
CAV
2009
Springer
218views Hardware» more  CAV 2009»
14 years 5 months ago
Cuts from Proofs: A Complete and Practical Technique for Solving Linear Inequalities over Integers
Abstract. We propose a novel, sound, and complete Simplex-based algorithm for solving linear inequalities over integers. Our algorithm, which can be viewed as a semantic generaliza...
Isil Dillig, Thomas Dillig, Alex Aiken
JSC
2006
147views more  JSC 2006»
13 years 4 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
VLSID
2002
IEEE
177views VLSI» more  VLSID 2002»
14 years 5 months ago
RTL-Datapath Verification using Integer Linear Programming
Satisfiability of complex word-level formulas often arises as a problem in formal verification of hardware designs described at the register transfer level (RTL). Even though most...
Raik Brinkmann, Rolf Drechsler