Mathematical Foundations of Automata Theory
by Jean-Eric Pin
Number of pages: 310
Contents: Algebraic preliminaries; Semigroups and beyond; Languages and automata; Recognizable and rational sets; Green's relations and local theory; Profinite words; Varieties; Equations and languages; Algebraic characterisations; Star-free languages; Piecewise testable languages; Polynomial closure; Relational morphisms; Unambiguous star-free languages; Wreath product; Sequential functions; An excursion into logic.
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by Jorg Flum (ed) - Amsterdam University Press
Mathematical logic and automata theory are two disciplines with a fundamentally close relationship. This book covers many different facets of logic and automata theory, emphasizing the connections to other disciplines such as games, algorithms, etc.
by Jacques Sakarovitch - arXiv.org
From the table of contents: A new look at Kleene's theorem; Rationality and recognisability (Rational expressions); From automata to expressions; From expressions to automata; Changing the monoid; Introducing weights; Notes; References.
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