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» Termination of Integer Linear Programs
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SAS
2010
Springer
140views Formal Methods» more  SAS 2010»
13 years 6 months ago
Multi-dimensional Rankings, Program Termination, and Complexity Bounds of Flowchart Programs
Abstract. Proving the termination of a flowchart program can be done by exhibiting a ranking function, i.e., a function from the program states to a wellfounded set, which strictl...
Christophe Alias, Alain Darte, Paul Feautrier, Lau...
EOR
2011
106views more  EOR 2011»
12 years 11 months ago
Probability of unique integer solution to a system of linear equations
We consider a system of m linear equations in n variables Ax = d and give necessary and sufficient conditions for the existence of a unique solution to the system that is integer:...
O. L. Mangasarian, Benjamin Recht
CADE
2011
Springer
12 years 7 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
ICLP
1997
Springer
13 years 12 months ago
Automatic Termination Analysis of Logic Programs
Abstract This paper describes a general framework for automatic termination analysis of logic programs, where we understand by termination" the niteness of the LD-tree constru...
Naomi Lindenstrauss, Yehoshua Sagiv
COLOGNETWENTE
2009
13 years 9 months ago
Integer Programming with 2-Variable Equations and 1-Variable Inequalities
We present an efficient algorithm to find an optimal integer solution of a given system of 2-variable equalities and 1-variable inequalities with respect to a given linear objectiv...
Manuel Bodirsky, Gustav Nordh, Timo von Oertzen