Mathematical Approach in Automata and Automata Association

2020/11/16 by Maciel, Sergio Henrique
#FOS: Computer and information sciences #Formal Languages and Automata Theory (cs.FL)

paper · doi:10.48550/arxiv.2011.08108

Abstract

The transition structure of an automaton can be used to create a natural topology to the set of states of an automaton, generating, this way, a topological space. Probabilistic automata can also be modeled in terms of measure theory. A system of many automata would be reduced to simple mathematical structures and analyzed by a topological point of view.

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