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arXiv · 0905.1194

Cubical Homology of Asynchronous Transition Systems

Ahmet A. Husainov
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Abstract

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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Ahmet A. Husainov. 2009-05-08. Cubical Homology of Asynchronous Transition Systems. https://arxiv.org/abs/0905.1194

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