Ebook: Descriptive Set Theoretic Methods in Automata Theory: Decidability and Topological Complexity
Author: Michał Skrzypczak (auth.)
- Tags: Mathematical Logic and Formal Languages, Logics and Meanings of Programs, Computation by Abstract Devices, Algorithm Analysis and Problem Complexity, Discrete Mathematics in Computer Science, Software Engineering
- Series: Lecture Notes in Computer Science 9802
- Year: 2016
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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.