7 edition of **Automata-theoretic aspects of formal power series** found in the catalog.

- 235 Want to read
- 27 Currently reading

Published
**1978**
by Springer-Verlag in New York
.

Written in English

- Sequential machine theory.,
- Formal languages.,
- Power series.

**Edition Notes**

Statement | Arto Salomaa, Matti Soittola. |

Series | Texts and monographs in computer science |

Contributions | Soittola, Matti, 1945- joint author. |

Classifications | |
---|---|

LC Classifications | QA267.5.S4 S29 |

The Physical Object | |

Pagination | x, 171 p. ; |

Number of Pages | 171 |

ID Numbers | |

Open Library | OL4715851M |

ISBN 10 | 0387902821 |

LC Control Number | 78002214 |

We study D0L sequences and their equality sets. If s = (s(n)) n≥0 and t = (t(n)) n≥0 are D0L sequences, their equality set is defined by E(s, t) = {n ≥ 0 | s(n) = t(n)}. It is an open problem whether such equality sets are always eventually periodic. Using methods developed by Ehrenfeucht and Rozenberg we show that a D0L equality set is eventually periodic if it contains at least one. Automata-theoretic aspects of formal power series: Beauty is our business: a birthday salute to Edsger W. Dijkstra: Compiler construction for digital computers: Elements of Computation Theory: Informatics curricula for the s: An introduction to Kolmogorov complexity and its applications.

High Performance Discovery in Time Series - Techniques and Case Studies. Monographs in Computer Science, Springer , ISBN , pp. Methods of formal power series, the ambiguity index and linear languages are discussed. Core material includes finite state automata, regular expressions, Kleene's theorem, Chomsky's hierarchy and transformations of grammars. Ambiguous grammars (not limited to context-free grammars) and modal logics are briefly discussed.

Subjects Primary: 05A Exact enumeration problems, generating functions [See also 33Cxx, 33Dxx] 68Q Algebraic theory of languages and automata [See also 18B20, 20M35] 68R Combinatorics on words Secondary: 05E Combinatorial aspects of groups and algebras [See also 14Nxx, 22E45, 33C80] 14H Algebraic functions; function fields [See. Formal Languages Academic Press, [ISBN ] Salomaa, Arto & Matti Soittola Automata-Theoretic Aspects of Formal Power Series Springer-Verlag, [ISBN ] Salvendy, Gavriel, Editor Handbook of Human Factors John Wiley & Sons, [ISBN ] Samuelson, Paul Anthony Economics, 14th edition McGraw-Hill, [ISBN.

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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 O-apart from some scattered work done earlier in connection with free groups-by M.

Schutzenberger to whom also belong some of the main results. 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 O-apart from some scattered work done earlier in connection with free groups-by M. : Springer-Verlag New York. Get this from a library.

Automata-Theoretic Aspects of Formal Power Series. [Arto Salomaa; Matti Soittola] -- This book develops a theory of formal power series in noncommuting variables, the main emphasis being on results applicable to automata and formal. 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 O-apart from some scattered work done earlier in connection with free groups-by M. Schutzenberger to whom also belong some of the main results. So far there is no book in existence. Automata-theoretic aspects of formal power series. New York: Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Arto Salomaa; Matti Soittola.

Automata: Theoretic Aspects of Formal Power Series March March Read More. Authors: Arto Salomaa, ; M. Soittola. Cite this chapter as: Salomaa A., Soittola M. () Rational series. In: Automata-Theoretic Aspects of Formal Power Series.

Texts and Monographs in Computer Science. Salomaa and M. Soittola, Automata-Theoretic Aspects of Formal Power Series (Springer, Berlin, ). [16] M.P. Schzenberger, On the definition of a family of automata, Inform. and Control 4 () [17].

The Dyck Analysis: Ambiguity and the formal power series, Formal properties of LL(k) and LR(k) tion Langauges: Rewriting systems, Algebraic properties, Canonical derivations, Context ar Automata: Formal language aspects, Algebraic properties universality and complexity variants/5(5).

Bull. Amer. Math. Soc. (N.S.) Volume 1, Number 4 (), Review: Arto Salomaa and Matti Soittola, Automata-theoretic aspects of formal power series Gerard Lallement. Textbooks containing several aspects of algebraic formal power series are [37] and [26].

The reader is also referred to the survey articles [25] and [35]. Let ∆ * be the free monoid over ∆ and. from book Automata, Automata-Theoretic Aspects of Formal Power Series. have defined the grade of a formal power series with algebraic coefficients as the smallest integer k such that this.

Keywords: Rational power series, equivalence problem, K-2g-automata Formal power series are mathematically well- motivated generalizations of formal languages. They can be considered as multiset languages. More specifically, a formal power series is a map- ping s: Y~* ~ K, where xs defines the multiplicity of the word x in ~*.

Rosenthal, Quantales and Their Applications, Pitman Research Notes in Mathematics Series (Longman, ). Google Scholar; A. Salomaa and M.

Soittola, Automata-Theoretic Aspects of Formal Power Series, EATCS Texts and Monographs in Computer Science (Springer, New York, ). Crossref, Google Scholar. Salomaa, Arto, Salomaa, Arto Salomaa, A.

(Arto), Salomaa, A. Arto Salomaa suomalainen matemaatikko, matematiikan emeritusprofessori (Turun yliopisto) ja. The first part is known as the Skolem-Mahler-Lech theorem. The second part can be found in, say, the book of Salomaa and Soittola "Automata-theoretic aspects of formal power series", p $\endgroup$ – Michaël Nov 1 '15 at Books.

Publishing Support. Login. Salomaa and M. Soittola Automata-theoretic aspects of formal power series (Springer-Verlag, New York) Crossref Google Scholar [24] R. Grigorchuk "On the Hilbert–Poincaré series of graded algebras associated with groups" Mat.

Sb Google Scholar. Grigorchuk Math. Corpus ID: Chapter 1: Semirings and Formal Power Series @inproceedings{DrosteChapter1, title={Chapter 1: Semirings and Formal Power Series}, author={Manfred Droste and Werner Kuich}, year={} }. Moreover, the notion may be considered for formal power series in non-commuting variables, which have applications in system and control theory.

It turns out that the previous characterization in the integral case still holds. Salomaa, M. Soittola, "Automata-theoretic aspects of formal power series", Springer () How to Cite This Entry. As an introduction, Sections III.7 and III.8 in the book “Automata-Theoretic Aspects of Formal Power Series” by Salomaa and Soittola, and the survey article “Growth functions associated with biological development” by Herman and Vitanyi are recommended.: imensional Systems.

J. Berstel and C. Reutenauer, Rational Series and Their Languages, Springer, Samuel Eilenberg, Automata, Languages and Machines, vol. A, Academic Press, Arto Salomaa and Matti Soittola, Automata-Theoretic Aspects of Formal Power Series, Springer, These titles are on reserve in the Engineering Library, Carpenter Hall.Automata-Theoretic Aspects of Formal Power Series(Reprint) (Monographs in Computer Science) by Arto Salomaa, Matti Soittola Paperback, Pages, Published by Springer ISBNISBN: Automata-Theoretic Aspects of Formal Power Series (Monographs in Computer Science) by Arto Salomaa () Jan 1,