Cantitate/Preț
Produs

Automata-Theoretic Aspects of Formal Power Series: Monographs in Computer Science

Autor Arto Salomaa, Matti Soittola
en Limba Engleză Paperback – 23 oct 2011
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.
Citește tot Restrânge

Din seria Monographs in Computer Science

Preț: 32712 lei

Preț vechi: 40889 lei
-20% Nou

Puncte Express: 491

Preț estimativ în valută:
6260 6458$ 5298£

Carte tipărită la comandă

Livrare economică 04-18 martie

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781461262664
ISBN-10: 1461262666
Pagini: 188
Ilustrații: 171 p.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.27 kg
Ediția:Softcover reprint of the original 1st ed. 1978
Editura: Springer
Colecția Springer
Seria Monographs in Computer Science

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

I. Introduction.- I.1. Preliminaries from algebra and analysis.- I.2. Preliminaries from automata and formal language theory.- I.3. Formal power series in noncommuting variables.- II. Rational series.- II.1. Rational series and linear systems.- II.2. Recognizable series.- II.3. Hankel matrices.- II.4. Operations preserving rationality.- II.5. Regular languages and rational series.- II.6. Fatou properties.- II.7. On rational series with real coefficients.- II.8. On positive series.- II.9. Rational sequences.- II.10. Positive sequences.- II.11. On series in product monoids.- II.12. Decidability questions.- III. Applications of rational series.- III.1. On rational transductions.- III.2. Families of rational languages.- III.3. Rational series and stochastic automata.- III.4. On stochastic languages.- III.5. On one-letter stochastic languages.- III.6. Densities of regular languages.- III.7. Growth functions of L systems: characterization results.- III.8. Growth functions of L systems: decidability.- IV. Algebraic series and context-free languages.- IV.1. Proper algebraic systems of equations.- IV.2. Reduction theorems.- IV.3. Closure properties.- IV.4. Theorems of Shamir and Chomsky-Schiitzenberger.- IV.5. Commuting variables and decidability.- IV.6. Generalizations of proper systems. Fatou extensions.- IV.7. Algebraic transductions.- Historical and bibliographical remarks.- References.