An introduction to finite automata and their connection to logic

Computer Science – Formal Languages and Automata Theory

Scientific paper

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Scientific paper

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.

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