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The Cubical Homology of Trace Monoids (1110.6293v1)
Published 28 Oct 2011 in math.AT, cs.MA, and math.KT
Abstract: 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.