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ORL
2008
111views more  ORL 2008»
13 years 5 months ago
Certificates of linear mixed integer infeasibility
A central result in the theory of integer optimization states that a system of linear diophantine equations Ax = b has no integral solution if and only if there exists a vector in...
Kent Andersen, Quentin Louveaux, Robert Weismantel
CAV
2008
Springer
170views Hardware» more  CAV 2008»
13 years 7 months ago
Efficient Craig Interpolation for Linear Diophantine (Dis)Equations and Linear Modular Equations
Abstract. The use of Craig interpolants has enabled the development of powerful hardware and software model checking techniques. Efficient algorithms are known for computing interp...
Himanshu Jain, Edmund M. Clarke, Orna Grumberg
EPIA
1997
Springer
13 years 9 months ago
An Algorithm for Solving Systems of Linear Diophantine Equations in Naturals
Abstract. A new algorithm for finding the minimal solutions of systems of linear Diophantine equations has recently been published. In its description the emphasis was put on the ...
Ana Paula Tomás, Miguel Filgueiras
AAECC
2001
Springer
121views Algorithms» more  AAECC 2001»
13 years 10 months ago
Algorithms for Large Integer Matrix Problems
Abstract. New algorithms are described and analysed for solving various problems associated with a large integer matrix: computing the Hermite form, computing a kernel basis, and s...
Mark Giesbrecht, Michael J. Jacobson Jr., Arne Sto...