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» On the bounded integer programming
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ORL
2008
111views more  ORL 2008»
15 years 2 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
FPCA
1989
15 years 6 months ago
Automatic Complexity Analysis
One way to analyse programs is to to derive expressions for their computational behaviour. A time bound function (or worst-case complexity) gives an upper bound for the computatio...
Mads Rosendahl
CADE
2007
Springer
16 years 2 months ago
A Sequent Calculus for Integer Arithmetic with Counterexample Generation
We introduce a calculus for handling integer arithmetic in first-order logic. The method is tailored to Java program verification and meant to be used both as a supporting procedur...
Philipp Rümmer
ANOR
2007
126views more  ANOR 2007»
15 years 2 months ago
Lifting, superadditivity, mixed integer rounding and single node flow sets revisited
In this survey we attempt to give a unified presentation of a variety of results on the lifting of valid inequalities, as well as a standard procedure combining mixed integer roun...
Quentin Louveaux, Laurence A. Wolsey
MOC
2010
14 years 9 months ago
The number field sieve for integers of low weight
We define the weight of an integer N to be the smallest w such that N can be represented as w i=1 i2ci , with 1,..., w{1,-1}. Since arithmetic modulo a prime of low weight is parti...
Oliver Schirokauer