On Compatibility of Discrete Relations

Details On Compatibility of Discrete Relations On Compatibility of Discrete Relations

2005-04-15

arxiv.org/abs/math-ph/0504048v3

CASC 2005, LNCS 3718, pp. 272--284, 2005. Springer-Verlag Berlin Heidelberg 2005

Physics

Mathematical Physics

13 pages; to be published in the CASC-2005 proceedings; conclusions added

Scientific paper

An approach to compatibility analysis of systems of discrete relations is proposed. Unlike the Groebner basis technique, the proposed scheme is not based on the polynomial ring structure. It uses more primitive set-theoretic and topological concepts and constructions. We illustrate the approach by application to some two-state cellular automata. In the two-state case the Groebner basis method is also applicable, and we compare both approaches.

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