Descriptive Set Theoretic Methods in Automata Theory

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Descriptive Set Theoretic Methods in Automata Theory is written by Michał Skrzypczak and published by Springer. It's available with International Standard Book Number or ISBN identification 3662529475 (ISBN 10) and 9783662529478 (ISBN 13).

The book is based on the PhD thesis “Descriptive Set Theoretic Methods in Automata Theory,” awarded the E.W. Beth Prize in 2015 for outstanding dissertations in the fields of logic, language, and information. The thesis reveals unexpected connections between advanced concepts in logic, descriptive set theory, topology, and automata theory and provides many deep insights into the interplay between these fields. It opens new perspectives on central problems in the theory of automata on infinite words and trees and offers very impressive advances in this theory from the point of view of topology. "...the thesis of Michał Skrzypczak offers certainly what we expect from excellent mathematics: new unexpected connections between a priori distinct concepts, and proofs involving enlightening ideas.” Thomas Colcombet.