The Holonomy Decomposition of Circular Semi-Flower Automata

preprint2013arXivOpen access

Abstract

Eilenberg's holonomy decomposition is useful to ascertain the structural properties of automata. Using this method, Egri-Nagy and Nehaniv characterized the absence of certain types of cycles in automata. In the direction of studying the structure of automata with cycles, this work focuses on a special class of semi-flower automata and establish the holonomy decompositions of certain circular semi-flower automata.

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