Automata Theoretic Aspects Of Formal Power Series

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Automata-Theoretic Aspects of Formal Power Series

Author : Arto Salomaa
Publisher : Springer Science & Business Media
ISBN 13 : 146126264X
Total Pages : 180 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Automata-Theoretic Aspects of Formal Power Series by : Arto Salomaa

Download or read book Automata-Theoretic Aspects of Formal Power Series written by Arto Salomaa and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Formal Power Series and Algebraic Combinatorics

Author : Daniel Krob
Publisher : Springer Science & Business Media
ISBN 13 : 3662041669
Total Pages : 815 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Formal Power Series and Algebraic Combinatorics by : Daniel Krob

Download or read book Formal Power Series and Algebraic Combinatorics written by Daniel Krob and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the extended abstracts presented at the 12th International Conference on Power Series and Algebraic Combinatorics (FPSAC '00) that took place at Moscow State University, June 26-30, 2000. These proceedings cover the most recent trends in algebraic and bijective combinatorics, including classical combinatorics, combinatorial computer algebra, combinatorial identities, combinatorics of classical groups, Lie algebra and quantum groups, enumeration, symmetric functions, young tableaux etc...

Formal Power Series and Algebraic Combinatorics (Series Formelles et Combinatoire Algebrique), 1994

Author : Louis J. Billera
Publisher : American Mathematical Soc.
ISBN 13 : 0821803247
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Formal Power Series and Algebraic Combinatorics (Series Formelles et Combinatoire Algebrique), 1994 by : Louis J. Billera

Download or read book Formal Power Series and Algebraic Combinatorics (Series Formelles et Combinatoire Algebrique), 1994 written by Louis J. Billera and published by American Mathematical Soc.. This book was released on 1996 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of the interplay among many fields of mathematics and science, algebraic combinatorics is an area in which a wide variety of ideas and methods come together. The papers in this volume reflect the most interesting aspects of this rich interaction, and will be of interest to researchers in discrete mathematics and combinatorial systems.

Handbook of Weighted Automata

Author : Manfred Droste
Publisher : Springer Science & Business Media
ISBN 13 : 3642014925
Total Pages : 614 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Handbook of Weighted Automata by : Manfred Droste

Download or read book Handbook of Weighted Automata written by Manfred Droste and published by Springer Science & Business Media. This book was released on 2009-09-18 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this Handbook is to highlight both theory and applications of weighted automata. Weighted finite automata are classical nondeterministic finite automata in which the transitions carry weights. These weights may model, e. g. , the cost involved when executing a transition, the amount of resources or time needed for this,or the probability or reliability of its successful execution. The behavior of weighted finite automata can then be considered as the function (suitably defined) associating with each word the weight of its execution. Clearly, weights can also be added to classical automata with infinite state sets like pushdown automata; this extension constitutes the general concept of weighted automata. To illustrate the diversity of weighted automata, let us consider the following scenarios. Assume that a quantitative system is modeled by a classical automaton in which the transitions carry as weights the amount of resources needed for their execution. Then the amount of resources needed for a path in this weighted automaton is obtained simply as the sum of the weights of its transitions. Given a word, we might be interested in the minimal amount of resources needed for its execution, i. e. , for the successful paths realizing the given word. In this example, we could also replace the “resources” by “profit” and then be interested in the maximal profit realized, correspondingly, by a given word.

Algebraic Informatics

Author : Miroslav Ćirić
Publisher : Springer
ISBN 13 : 3030213633
Total Pages : 270 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Algebraic Informatics by : Miroslav Ćirić

Download or read book Algebraic Informatics written by Miroslav Ćirić and published by Springer. This book was released on 2019-06-17 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on Algebraic Informatics, CAI 2019, held in Niš, Serbia, in June/July 2019. The 20 revised papers presented were carefully reviewed and selected from 35 submissions. The papers present research at the intersection of theoretical computer science, algebra, and related areas. They report original unpublished research and cover a broad range of topics from automata theory and logic, cryptography and coding theory, computer algebra, design theory, natural and quantum computation, and related areas.

Automata Theory

Author : Matthew Simon
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105399
Total Pages : 440 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Automata Theory by : Matthew Simon

Download or read book Automata Theory written by Matthew Simon and published by World Scientific Publishing Company. This book was released on 1999-04-29 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers substantially the central ideas of a one semester course in automata theory. It is oriented towards a mathematical perspective that is understandable to non-mathematicians. Comprehension is greatly aided by many examples, especially on the Chomsky — Schützenberger theorem, which is not found in most books in this field. Special attention is given to semiautomata theory: the relationship between semigroups and sequential machines (including Green's relations), Schützenberger's maximal subgroup, von Neumann inverses, wreath products, transducers using matrix notation, shuffle and Kronecker shuffle products. 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. Turing machine variants with many examples, pushdown automata and their state transition diagrams and parsers, linear-bounded automata/2-PDA and Kuroda normal form are also discussed. A brief study of Lindenmeyer systems is offered as a comparison to the theory of Chomsky.

Mathematical Foundations of Computer Science 2009

Author : Rastislav Královič
Publisher : Springer Science & Business Media
ISBN 13 : 3642038158
Total Pages : 773 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Mathematical Foundations of Computer Science 2009 by : Rastislav Královič

Download or read book Mathematical Foundations of Computer Science 2009 written by Rastislav Královič and published by Springer Science & Business Media. This book was released on 2009-08-06 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 34th International Symposium on Mathematical Foundations of Computer Science, MFCS 2009, held in Novy Smokovec, High Tatras, Slovakia, in August 2009. The 56 revised full papers presented together with 7 invited lectures were carefully reviewed and selected from 148 submissions. All current aspects in theoretical computer science and its mathematical foundations are addressed, including algorithmic game theory, algorithmic tearning theory, algorithms and data structures, automata, grammars and formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, cryptography and security, databases and knowledge-based systems, formal specifications and program development, foundations of computing, logic in computer science, mobile computing, models of computation, networks, parallel and distributed computing, quantum computing, semantics and verification of programs, theoretical issues in artificial intelligence.

SOFSEM 2021: Theory and Practice of Computer Science

Author : Tomáš Bureš
Publisher : Springer Nature
ISBN 13 : 3030677311
Total Pages : 628 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis SOFSEM 2021: Theory and Practice of Computer Science by : Tomáš Bureš

Download or read book SOFSEM 2021: Theory and Practice of Computer Science written by Tomáš Bureš and published by Springer Nature. This book was released on 2021-01-20 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the invited and contributed papers selected for presentation at SOFSEM 2021, the 47th International Conference on Current Trends in Theory and Practice of Computer Science, which was held online during January 25–28, 2021, hosted by the Free University of Bozen-Bolzano, Italy. The 33 full and 7 short papers included in the volume were carefully reviewed and selected from 100 submissions. They were organized in topical sections on: foundations of computer science; foundations of software engineering; foundations of data science and engineering; and foundations of algorithmic computational biology. The book also contains 5 invited papers.

Elements of Automata Theory

Author : Jacques Sakarovitch
Publisher : Cambridge University Press
ISBN 13 : 1139643797
Total Pages : 818 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Elements of Automata Theory by : Jacques Sakarovitch

Download or read book Elements of Automata Theory written by Jacques Sakarovitch and published by Cambridge University Press. This book was released on 2009-10-01 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automata theory lies at the foundation of computer science, and is vital to a theoretical understanding of how computers work and what constitutes formal methods. This treatise gives a rigorous account of the topic and illuminates its real meaning by looking at the subject in a variety of ways. The first part of the book is organised around notions of rationality and recognisability. The second part deals with relations between words realised by finite automata, which not only exemplifies the automata theory but also illustrates the variety of its methods and its fields of application. Many exercises are included, ranging from those that test the reader, to those that are technical results, to those that extend ideas presented in the text. Solutions or answers to many of these are included in the book.

A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences

Author : K. Glazek
Publisher : Springer Science & Business Media
ISBN 13 : 9401599645
Total Pages : 394 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences by : K. Glazek

Download or read book A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences written by K. Glazek and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 schools of mathematics and working in various related fields. In many instances the terminology used is not universal, which further compounds the difficulty of locating pertinent sources even in this age of the Internet and electronic dis semination of research results. So far there has been no single reference that could guide the interested scholar or student to the relevant publications. This book is an attempt to fill this gap. My interest in the theory of semirings began in the early sixties, when to gether with Bogdan W ~glorz I tried to investigate some algebraic aspects of compactifications of topological spaces, semirings of semicontinuous functions, and the general ideal theory for special semirings. (Unfortunately, local alge braists in Poland told me at that time that there was nothing interesting in investigating semiring theory because ring theory was still being developed). However, some time later we became aware of some similar investigations hav ing already been done. The theory of semirings has remained "my first love" ever since, and I have been interested in the results in this field that have been appearing in literature (even though I have not been active in this area myself).

Handbook of Formal Languages

Author : Grzegorz Rozenberg
Publisher : Springer Science & Business Media
ISBN 13 : 9783540604204
Total Pages : 910 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Handbook of Formal Languages by : Grzegorz Rozenberg

Download or read book Handbook of Formal Languages written by Grzegorz Rozenberg and published by Springer Science & Business Media. This book was released on 1997 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt: This uniquely authoritative and comprehensive handbook is the first work to cover the vast field of formal languages, as well as their applications to the divergent areas of linguistics, dvelopmental biology, computer graphics, cryptology, molecular genetics, and programming languages. The work has been divided into three volumes.

Mathematical Foundations of Computer Science 2015

Author : Giuseppe F Italiano
Publisher : Springer
ISBN 13 : 3662480573
Total Pages : 482 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Mathematical Foundations of Computer Science 2015 by : Giuseppe F Italiano

Download or read book Mathematical Foundations of Computer Science 2015 written by Giuseppe F Italiano and published by Springer. This book was released on 2015-08-10 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume set LNCS 9234 and 9235 constitutes the refereed conference proceedings of the 40th International Symposium on Mathematical Foundations of Computer Science, MFCS 2015, held in Milan, Italy, in August 2015. The 82 revised full papers presented together with 5 invited talks were carefully selected from 201 submissions. The papers feature high-quality research in all branches of theoretical computer science. They have been organized in the following topical main sections: logic, semantics, automata, and theory of programming (volume 1) and algorithms, complexity, and games (volume 2).

Developments in Language Theory

Author : Srečko Brlek
Publisher : Springer
ISBN 13 : 3662531321
Total Pages : 423 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Developments in Language Theory by : Srečko Brlek

Download or read book Developments in Language Theory written by Srečko Brlek and published by Springer. This book was released on 2016-07-20 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 20th International Conference on Developments in Language Theory, DLT 2016, held in Montreal, QC, Canada, in July 2016. The 32 full papers and 4 abstracts of invited papers presented were carefully reviewed and selected from 48 submissions. This volume presents current developments in formal languages and automata, especially from the following topics and areas: combinatorial and algebraic properties of words and languages; grammars, acceptors and transducers for strings, trees, graphs, arrays; algebraic theories for automata and languages; codes; efficient text algorithms; symbolic dynamics; decision problems; relationships to complexity theory and logic; picture description and analysis; polyominoes and bidimentional patterns; cryptography; concurrency; cellular automata; bio-inspried computing; quantum computing.

STACS 2006

Author : Bruno Durand
Publisher : Springer Science & Business Media
ISBN 13 : 3540323015
Total Pages : 730 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis STACS 2006 by : Bruno Durand

Download or read book STACS 2006 written by Bruno Durand and published by Springer Science & Business Media. This book was released on 2006-02-14 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 23rd Annual Symposium on Theoretical Aspects of Computer Science, held in February 2006. The 54 revised full papers presented together with three invited papers were carefully reviewed and selected from 283 submissions. The papers address the whole range of theoretical computer science including algorithms and data structures, automata and formal languages, complexity theory, semantics, and logic in computer science.

Developments in Language Theory

Author : Nelma Moreira
Publisher : Springer Nature
ISBN 13 : 3030815080
Total Pages : 394 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Developments in Language Theory by : Nelma Moreira

Download or read book Developments in Language Theory written by Nelma Moreira and published by Springer Nature. This book was released on 2021-08-06 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 25th International Conference on Developments in Language Theory, DLT 2021, which was held in Porto, Portugal, during August 16-20, 2021. The conference took place in an hybrid format with both in-person and online participation. The 27 full papers included in these proceedings were carefully reviewed and selected from 48 submissions. The DLT conference series provides a forum for presenting current developments in formal languages and automata. Its scope is very general and includes, among others, the following topics and areas: grammars, acceptors and transducers for words, trees and graphs; algebraic theories of automata; algorithmic, combinatorial, and algebraic properties of words and languages; variable length codes; symbolic dynamics; cellular automata; polyominoes and multidimensional patterns; decidability questions; image manipulation and compression; efficient text algorithms; relationships to cryptography, concurrency, complexity theory, and logic; bio-inspired computing; quantum computing. The book also includes 3 invited talks in full paper length.

Formal Languages and Applications

Author : Carlos Martin-Vide
Publisher : Springer
ISBN 13 : 3540398864
Total Pages : 612 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Formal Languages and Applications by : Carlos Martin-Vide

Download or read book Formal Languages and Applications written by Carlos Martin-Vide and published by Springer. This book was released on 2013-03-09 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Languages and Applications provides a comprehensive study-aid and self-tutorial for graduates students and researchers. The main results and techniques are presented in an readily accessible manner and accompanied by many references and directions for further research. This carefully edited monograph is intended to be the gateway to formal language theory and its applications, so it is very useful as a review and reference source of information in formal language theory.

Current Trends in Theoretical Computer Science

Author : Gheorghe P?un
Publisher : World Scientific
ISBN 13 : 9810244738
Total Pages : 881 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Current Trends in Theoretical Computer Science by : Gheorghe P?un

Download or read book Current Trends in Theoretical Computer Science written by Gheorghe P?un and published by World Scientific. This book was released on 2001 with total page 881 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific developments at the end of the past millennium were dominated by the huge increase and diversity of disciplines with the common label "computer science". The theoretical foundations of such disciplines have become known as theoretical computer science. This book highlights some key issues of theoretical computer science as they seem to us now, at the beginning of the new millennium. The text is based on columns and tutorials published in the Bulletin of the European Association for Theoretical Computer Science in the period 1995 -- 2000. The columnists themselves selected the material they wanted for the book, and the editors had a chance to update their work. Indeed, much of the material presented here appears in a form quite different from the original. Since the presentation of most of the articles is reader-friendly and does not presuppose much knowledge of the area, the book constitutes suitable supplementary reading material for various courses in computer science.