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» Applications of integer relation algorithms
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ANTS
1998
Springer
93views Algorithms» more  ANTS 1998»
13 years 10 months ago
Evaluation of Linear Relations between Vectors of a Lattice in Euclidean Space
We prove that to find a nontrivial integer linear relation between vectors of a lattice L IRn , whose euclidean length is at most M, one needs O n5+ (ln Mn/)1+ binary operations f...
Igor A. Semaev
ISSAC
1995
Springer
108views Mathematics» more  ISSAC 1995»
13 years 9 months ago
A Solution to the Extended GCD Problem
An improved method for expressing the greatest common divisor of n numbers as an integer linear combination of the numbers is presented and analyzed, both theoretically and practi...
Bohdan S. Majewski, George Havas
IPL
2008
111views more  IPL 2008»
13 years 5 months ago
Adding cardinality constraints to integer programs with applications to maximum satisfiability
Max-SAT-CC is the following optimization problem: Given a formula in CNF and a bound k, find an assignment with at most k variables being set to true that maximizes the number of ...
Markus Bläser, Thomas Heynen, Bodo Manthey
TACAS
2010
Springer
146views Algorithms» more  TACAS 2010»
14 years 22 days ago
Ranking Function Synthesis for Bit-Vector Relations
Ranking function synthesis is a key aspect to the success of modern termination provers for imperative programs. While it is wellknown how to generate linear ranking functions for ...
Byron Cook, Daniel Kroening, Philipp Rümmer, ...
IPPS
1998
IEEE
13 years 10 months ago
Testing of Synchronization Conditions for Distributed Real-Time Applications
A set of synchronization relations between distributed nonatomic events was recently proposed to provide real-time applications with a fine level of discrimination in the specifica...
Ajay D. Kshemkalyani