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Infinite Words

Infinite Words

Dominique Perrin | Jean-Éric Pin

(2004)

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Book Details

Abstract

Infinite Words is an important theory in both Mathematics and Computer Sciences. Many new developments have been made in the field, encouraged by its application to problems in computer science. Infinite Words is the first manual devoted to this topic.
Infinite Words explores all aspects of the theory, including Automata, Semigroups, Topology, Games, Logic, Bi-infinite Words, Infinite Trees and Finite Words. The book also looks at the early pioneering work of Büchi, McNaughton and Schützenberger.
Serves as both an introduction to the field and as a reference book.
Contains numerous exercises desgined to aid students and readers.
Self-contained chapters provide helpful guidance for lectures.
The most impressive aspect of the book "Infinite Words" by Dominique Perrin and Jean-Eric Pin is the extent of its coverage.
It is a virtually complete compendium of everything to do with infinite words: infinite-time automata; connections to semigroups, topology and logic; infinite games; bi-infinite words; infinite trees.
Before holding this book in my hand, I was not fully
conscious of the extent of the progress in this field in the last twenty years.
Robert McNaughton