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1 Computing, Multimedia and Intelligent Techniques

1 2007

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Algorithms for searching the basis solution of systems of linear homogenous diophantine equations

Grzywacz W., Kryvyy S.

Computing, Multimedia and Intelligent Techniques

2007

Vol. 3, nr 1

20-32

Algorithms of solving systems of linear constraints over the set of natural numbers are applied in various sciences and spheres. Among them we should highlight Petri Nets [2], logic deduction in the first order predicate calculus with use of associative-commutative unification, computer algebra [6] etc. The special case of system of linear Diophantine constraints is system of homogenous linear Diorhantine equations (SHLDE), where solutions are searched over the set of naturals or the set {0,1}. In this work the algorithms for solving SHLDE over the set of naturals will be presented.