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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Informatik & EDV Allg. & Lexika Automata-Theoretic Aspects of Formal Power Series
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Automata-Theoretic Aspects of Formal Power Series
Arto Salomaa, Matti Soittola (Broschiert, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
23.10.2011
Sprache
Englisch
EAN
9781461262664
Herausgeber
Springer US
Serien- oder Bandtitel
Monographs in Computer Science
Sonderedition
Nein
Autor
Arto Salomaa, Matti Soittola
Seitenanzahl
171
Einbandart
Broschiert
Schlagwörter
Automatentheorie, Potenzreihe, Power Series, algebra, automata, computer, formal language, formale Sprache
Thema-Inhalt
UY - Informatik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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