Semirings, automata, languages by Werner Kuich

Cover of: Semirings, automata, languages | Werner Kuich

Published by Springer-Verlag in Berlin, New York .

Written in English

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  • Machine theory.,
  • Semirings (Mathematics),
  • Formal languages.

Edition Notes

Book details

StatementWerner Kuich, Arto Salomaa.
SeriesEATCS monographs on theoretical computer science ;, v. 5
ContributionsSalomaa, Arto.
LC ClassificationsQA267 .K85 1986
The Physical Object
Pagination374 p. :
Number of Pages374
ID Numbers
Open LibraryOL2536481M
ISBN 100387137165
LC Control Number85017316

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Automata theory is the oldest among the disciplines constituting the subject matter of this Monograph Series: theoretical computer science. Indeed, automata theory and the closely related theory of formal languages form nowadays such a highly developed and diversified body of knowledge that even an exposition of languages book important" results is not possible within one volume.

Automata theory is the oldest among the disciplines constituting the subject matter of this Monograph Series: theoretical computer science. Indeed, automata theory and the closely related theory of formal languages form nowadays such a highly developed and diversified body of knowledge that.

Semirings, automata, languages. [Werner Kuich; Arto Salomaa] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Book: All Authors / Contributors: Werner Kuich; Arto Salomaa.

Find more information about: ISBN: Semirings, automata, languages by Werner Kuich, unknown edition, Sponsor. We don't have this book yet. You can add it to our Lending Library with a $ tax deductible : Abstract. In this lecture we will report on generalizations of some classical results on formal languages.

These generalizations are achieved by an algebraic treatment using semirings, formal power series, fixed point theory and matrices. A guide to the literature on semirings and their applications in mathematics and information sciences. With complete bibliography. Dordrecht: Kluwer Academic.

ISBN Zbl Sakarovitch, Jacques (). Elements of automata theory. Translated from the French by Reuben Thomas. Cambridge: Cambridge University Press.

The purpose of this book is to present an up to languages book account of fuzzy ideals of a semiring. The book concentrates on theoretical aspects and consists of eleven chapters including three invited chapters.

Among the invited chapters, two are devoted to applications of Semirings to automata theory, and one deals with some generalizations of Semirings. guages, formal tree languages, formal languages with nite and in nite words, automata, tree automata, etc.

These generalizations are achieved by an alge-braic treatment using semirings, formal power series, formal tree series, xed point theory and matrices. By the use of these mathematical constructs, de. Droste M., Kuich W. () Semirings and Formal Power Series. In: Droste M., Kuich W., Vogler H.

(eds) Handbook of Weighted Automata, Chapter 1. We generalize the following two language- and automata-theoretic results to ω-continuous semirings. &#x; (i) The family of languages accepted by finite automata is the smallest class containing all finite languages and closed.

Automata Theory, Languages, and Computation 3 rd Edition hopcroft_titlepgs 5/8/06 PM Page 1. INTRODUCTION TO Automata Theory, Languages, and book Second the role of automata and language theory has c hanged o Semirings er past t w o decades In automata w as largely a graduate lev el sub ject and w e imagined our reader as an adv anced graduate.

Automata theory is the oldest among the disciplines constituting the subject matter of this Monograph Series: theoretical computer science. Indeed, automata theory and the closely Semirings theory of formal languages form nowadays such a highly developed and diversified body of knowledge that even an exposition of "reasonably important" results is not possible within one : W.

Kuich, A. Salomaa. The book starts with an intriguing discussion of Pascal's division machine as a precursor to what we would now call a finite automaton. Chapter 0, "Fundamental Structures," is an introduction to many of the ideas that are later used in the book: relations, monoids, words and languages, and semirings.

These cost functions cannot be computed in semirings. Automata over the general algebraic structure of valuation monoids incorporating both semiringweighted automata and quantitative automata were.

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In Section 2 we briefly review some basic definitions and notation con- cerning semirings, rational languages and rational series. In Section 3, we investigate the characters of semirings and prove that if R is a commutative semiring which is not a ring, then there exists a morphism of semirings from R to the boolean semir- ing B ={0,1}.

After formal language theory, shortest-distance problems are the area in which semirings have been used most efficiently to solve problems of direct interest to computer scientists. This paper presents a unified semiring-based framework for single-source shortest-distance problems, including a generic algorithm for solving such problems.

action algebra algorithm alphabet arbitrary automata behaviour bijection Boolean chapter closure co-accessible coefficients commutative monoid complete congruence construction contains Corollary corresponding deduce defined definition deterministic automaton different dimension effectively elements equal Equation equivalent Example Exer.

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Golan, The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science, Pitman Monographs and Surveys in Pure and Applied Mathematics (Longman Scientific & Technical, Harlow, ).

Google Scholar; W. Kuich and A. Salomaa, Semirings, Automata, Languages (Springer-Verlag, ). Google Scholar Crossref; I. Books, Toys, Games and much more. With every Gamma-semiring there corresponds two semirings namely the left operator semiring and the right operator semiring.

The natural growth of Gamma-semirings is influenced by two things - one is the generalization of results of Gamma-rings and another is the generalization of results of semirings. Price: $.

Find books. 5, in language and automata theory and will report on generalizations of some classical results on formal lan- guages, formal tree languages, formal languages with finite and infinite words, automata, tree automata, etc.

These generalizations are achieved by an alge- braic treatment using semirings, formal power series. semirings and their applications Download semirings and their applications or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get semirings and their applications book now.

This site is like a library, Use search box in the widget to get ebook that you want. The afternoon session was started by Werner Kuich, one of the founding fathers of treating automata and languages in term~ of power series.

In addition to publishing nnmerous papers, he has written a chapter in the "Handbook of Formal Languages", and a book titled "Semirings, Automata, Languages" with a.

Download A Guide To The Literature On Semirings And Their Applications In Mathematics And Information Sciences books, This volume presents a short guide to the extensive literature concerning semir ings along with a complete bibliography. The literature has been created over many years, in variety of languages, by authors representing different.

Automata Book By Adesh K Pandey Pdf Download - DOWNLOAD. Buy Fuzzy Semirings with Applications to Automata Theory (Studies in Fuzziness and Soft Computing) by Ahsan, Javed, Mordeson, John N., Shabir, Muhammad (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible : Javed Ahsan. Quantitative aspects of systems like consumption of resources, output of goods, or reliability can be modeled by weighted automata.

Recently, objectives like the average cost or the longtime peak power consumption of a system have been modeled by weighted automata which are. This volume contains the proceedings of IC the International Colloquium on Automata, Languages and Programming sponsored by the European Association for Theoretical Computer Science (EATCS).

This annual conference series covers all important areas of Price: $ Most, however, focus on particular areas of application. Many do no more than scratch the surface of the theory that holds the power and promise of fuzzy logic.

Fuzzy Automata and Languages: Theory and Applications offers the first in-depth treatment of the theory and mathematics of fuzzy automata and fuzzy languages. 'The authors study how automata can be used to determine whether a group has a solvable word problem or not. They give detailed explanations on how automata can be used in group theory to encode complexity, to represent certain aspects of the underlying geometry of a space on which a group acts, its relation to hyperbolic groups it will convince the reader of the beauty and richness of.

This textbook presents an introduction to the theory of automata and to their connection with the study of languages. At the heart of the book is the notion that by considering a language as a set of words it is possible to construct automata which "recognize" words Theoretical models of simple computing machines, known as automata, play a 5/5(1).

Earlier works either rule out such automata or characterize the semirings in which these infinite sums are all well-defined. By means of a topological approach, we take here a definition of validity that is strong enough to insure that in any kind of semirings, any closure algorithm will succeed on every valid weighted automaton and turn it.

Special Features of Book- The special features of this book are-It is the best book among the all the available reference books for this subject. It covers all the GATE topics in detail without getting verbose. It explains the content in a pretty simple and straight forward language.

It makes the subject fun to read. formal power series form a generalization of formal languages, and, similarly, weighted automata generalize classical automata.

For other semirings (like the natural or real numbers), formal power series can be viewed as weighted, multivalued or quantified languages in which each word is assigned a weight, a number, or some quantity. Books published in this series present original research or material of interest to the research community and graduate students.

Each volume is normally a uniform monograph rather than a compendium of articles. Semirings, Automata, Languages. Kuich, W., Salomaa, A. Softcover reprint of the original 1st ed.IX, pp. 23 figs. Books Advanced Search New Releases & Pre-orders Best Sellers Browse Genres Children's & Young Adult Textbooks Exam Central All Indian Languages Automata Theory and Formal Languages (Express Learning) and over 2 million other books are available for Amazon s: 7.

EATCS Monographs on Theoretical Computer Science Semirings, Automata and Languages Vol. 5 by Werner Kuich, Arto Salomaa Hardcover, Pages, Published by Springer ISBNISBN: The advantage of (additively) idempotent semirings is that the additive operation does not have an inverse, which can help in preventing the breakage of a cryptosystem.

This book describes a number of cryptographic protocols, as well as the hard mathematical problems on which their security is based. Weighted automata and their properties are described in detail in the recent handbook by Droste et al.

After their introduction, weighted automata have been applied in many areas like natural-language processing, speech recognition, optimization of energy consumption, and probabilistic systems.

Add to Book Bag Remove from Book Bag Saved in: Language and automata theory and applications 7th International Conference, LATABilbao, Spain, AprilAppeared in Proceedings of the Joint Meeting of the Human Language Technology semirings where our methods work.

Outside these semirings, automata (Berstel and Reutenauer, ) permits any weight set K, if appropriate operations ⊕ and ⊗ are pro.Formal Languages and Automata Theory deals with the mathematical abstraction model of computation and its relation to formal languages.

This book is intended to expose students to the theoretical development of computer science. It also provides conceptual tools that practitioners use in .

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