The Cubical Homology of Trace Monoids

Details The Cubical Homology of Trace Monoids The Cubical Homology of Trace Monoids

2011-10-28

arxiv.org/abs/1110.6293v1

Mathematics

Algebraic Topology

21 pages, International Conference "Toric Topology and Automorphic Functions'' September 05-10, 2011 Khabarovsk

Scientific paper

This article contains an overview of the results of the author in a field of algebraic topology used in computer science. The relationship between the cubical homology groups of generalized tori and homology groups of partial trace monoid actions is described. Algorithms for computing the homology groups of asynchronous systems, Petri nets, and Mazurkiewicz trace languages are shown.

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