English

An introduction to finite automata and their connection to logic

Formal Languages and Automata Theory 2012-02-16 v2 Logic in Computer Science

Abstract

This is a tutorial on finite automata. We present the standard material on determinization and minimization, as well as an account of the equivalence of finite automata and monadic second-order logic. We conclude with an introduction to the syntactic monoid, and as an application give a proof of the equivalence of first-order definability and aperiodicity.

Keywords

Cite

@article{arxiv.1011.6491,
  title  = {An introduction to finite automata and their connection to logic},
  author = {Howard Straubing and Pascal Weil},
  journal= {arXiv preprint arXiv:1011.6491},
  year   = {2012}
}