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The Holonomy Decomposition of some Circular Semi-Flower Automata

机译:The Holonomy Decomposition of some Circular Semi-Flower Automata

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abstract_textpUsing holonomy decomposition, the absence of certain types of cycles in automata has been characterized. In the direction of studying the structure of automata with cycles, this paper focuses on a special class of semi-flower automata and establish the holonomy decomposition of certain circular semi flower automata. In particular, we show that the transformation monoid of a circular semi-flower automaton with at most two bpis divides a wreath product of cyclic transformation groups with adjoined constant functions./p/abstract_text

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