English

Mathematical Approach in Automata and Automata Association

Formal Languages and Automata Theory 2025-10-14 v3

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.

Keywords

Cite

@article{arxiv.2011.08108,
  title  = {Mathematical Approach in Automata and Automata Association},
  author = {Sergio Henrique Maciel},
  journal= {arXiv preprint arXiv:2011.08108},
  year   = {2025}
}

Comments

Sizeable mistakes with while the author has no intention to fix them