Descriptive Set Theoretic Methods in Automata Theory

Download or read book Descriptive Set Theoretic Methods in Automata Theory written by Michał Skrzypczak and published by Springer. This book was released on 2016-08-05 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.