Automata-Theoretic Aspects of Formal Power Series

Language: English

Published by Springer, Springer Okt 2011, 2011

1461262666 / 9781461262664

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This item is printed on demand - Print on Demand Titel. Neuware -This book develops a theory of formal power series in noncommuting variables, the main emphasis being on results applicable to automata and formal language theory. This theory was initiated around 196O-apart from some scattered work done earlier in connection with free groups-by M. P. Schutzenberger to whom also belong some of the main results. So far there is no book in existence concerning this theory. This lack has had the unfortunate effect that formal power series have not been known and used by theoretical computer scientists to the extent they in our estimation should have been. As with most mathematical formalisms, the formalism of power series is capable of unifying and generalizing known results. However, it is also capable of establishing specific results which are difficult if not impossible to establish by other means. This is a point we hope to be able to make in this book. That formal power series constitute a powerful tool in automata and language theory depends on the fact that they in a sense lead to the arithmetization of automata and language theory. We invite the reader to prove, for instance, Theorem IV. 5. 3 or Corollaries III. 7. 8 and III. 7.- all specific results in language theory-by some other means. Although this book is mostly self-contained, the reader is assumed to have some background in algebra and analysis, as well as in automata and formal language theory.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 188 pp. Englisch.…

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Title
Automata-Theoretic Aspects of Formal Power Series
Author
Arto Salomaa
Publisher
Springer, Springer Okt 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461262666
ISBN 13
9781461262664
Item weight
295 grams
Dimensions
235x155x11 mm

buchversandmimpf2000

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