Cubical Homology of Asynchronous Transition Systems

Mathematics – K-Theory and Homology

Scientific paper

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21 pages

Scientific paper

We show that a set with an action of a locally finite-dimensional free partially commutative monoid and the corresponding semicubical set have isomorpic homology groups. We build a complex of finite length for the computing homology groups of any asynchronous transition system with finite maximal number of mutually independent events. We give examples of computing the homology groups.

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