Descriptive Set Theoretic Methods in Automata Theory Decidability and Topological Complexity

“The author applies, with considerable success, a breadth of methods covering descriptive set theory, automata theory, logic and even some classical set theory, to questions on ω- and tree automata. ... he has managed to present basic material and his own results in such a way as to make these developments accessible to the reader. ... should be useful for those who wish to keep in touch with recent developments in automata theory.” (Roger Villemaire, zbMATH 1375.03003, 2018)

“The book shows how various techniques from descriptive set theory and logic can be effectively used in the study and understanding of automata theory. The interplay between topological and automata-theoretic methods is presented very nicely and should be useful to researchers in this area.” (Rana Barua, Mathematical Reviews, September, 2017)