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.

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.

Weighted Automata, Formal Power Series and Weighted Logic

Author : Laura Wirth
Publisher : Springer Nature
ISBN 13 : 3658393238
Total Pages : 191 pages
Book Rating : 4.6/5 (583 download)

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Book Synopsis Weighted Automata, Formal Power Series and Weighted Logic by : Laura Wirth

Download or read book Weighted Automata, Formal Power Series and Weighted Logic written by Laura Wirth and published by Springer Nature. This book was released on 2022-10-13 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this work is to represent the behaviors of weighted automata by expressively equivalent formalisms: rational operations on formal power series, linear representations by means of matrices, and weighted monadic second-order logic. First, we exhibit the classical results of Kleene, Büchi, Elgot and Trakhtenbrot, which concentrate on the expressive power of finite automata. We further derive a generalization of the Büchi–Elgot–Trakhtenbrot Theorem addressing formulas, whereas the original statement concerns only sentences. Then we use the language-theoretic methods as starting point for our investigations regarding power series. We establish Schützenberger’s extension of Kleene’s Theorem, referred to as Kleene–Schützenberger Theorem. Moreover, we introduce a weighted version of monadic second-order logic, which is due to Droste and Gastin. By means of this weighted logic, we derive an extension of the Büchi–Elgot–Trakhtenbrot Theorem. Thus, we point out relations among the different specification approaches for formal power series. Further, we relate the notions and results concerning power series to their counterparts in Language Theory. Overall, our investigations shed light on the interplay between languages, formal power series, automata and monadic second-order logic.

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...

Elements of Automata Theory

Author :
Publisher : Cambridge University Press
ISBN 13 :
Total Pages : 782 pages
Book Rating : 4./5 ( download)

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Book Synopsis Elements of Automata Theory by :

Download or read book Elements of Automata Theory written by and published by Cambridge University Press. This book was released on with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Developments in Language Theory

Author : Grzegorz Rozenberg
Publisher : World Scientific
ISBN 13 : 9789810243807
Total Pages : 404 pages
Book Rating : 4.2/5 (438 download)

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Book Synopsis Developments in Language Theory by : Grzegorz Rozenberg

Download or read book Developments in Language Theory written by Grzegorz Rozenberg and published by World Scientific. This book was released on 2000 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of formal languages is one of the oldest branches of theoretical computer science. Its original aim (in the fifties and sixties) was to clarify the laws and algorithms that underlie the definition and compilation of programming languages. Since then, formal language theory has changed very much. Today it includes mathematical topics like combinatorics of words, word equations, and coding theory, but it also covers connections to linguistics (for example, the study of contextual grammars), new computational paradigms (like DNA computing), and a wide range of applications, among them hypertext processing, database theory, and formal program verification. Many of these themes of modern formal language theory are represented in this volume.

Developments in Language Theory

Author : G Rozenberg
Publisher : World Scientific
ISBN 13 : 9814492647
Total Pages : 396 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Developments in Language Theory by : G Rozenberg

Download or read book Developments in Language Theory written by G Rozenberg and published by World Scientific. This book was released on 2000-11-07 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of formal languages is one of the oldest branches of theoretical computer science. Its original aim (in the fifties and sixties) was to clarify the laws and algorithms that underlie the definition and compilation of programming languages. Since then, formal language theory has changed very much. Today it includes mathematical topics like combinatorics of words, word equations, and coding theory, but it also covers connections to linguistics (for example, the study of contextual grammars), new computational paradigms (like DNA computing), and a wide range of applications, among them hypertext processing, database theory, and formal program verification. Many of these themes of modern formal language theory are represented in this volume. Contents:Automata and LanguagesCodes, Combinatorics of Words, and Algebraic MethodsApplications in Database Theory and ParsingGeneralized Models of Grammars and Computation Readership: Graduate students and researchers in theoretical computer science. Keywords:Formal Languages;New Computational Paradigms;Hypertext Processing;Database Theory;Formal Program Verification;Automata;Codes;Combinatorics;Parsing

Arto Salomaa: Mathematician, Computer Scientist, and Teacher

Author : Jukka Paakki
Publisher : Springer Nature
ISBN 13 : 3030160491
Total Pages : 303 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Arto Salomaa: Mathematician, Computer Scientist, and Teacher by : Jukka Paakki

Download or read book Arto Salomaa: Mathematician, Computer Scientist, and Teacher written by Jukka Paakki and published by Springer Nature. This book was released on 2019-10-08 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book outlines the scientific career of Arto Salomaa, a pioneer in theoretical computer science and mathematics. The author first interviewed the subject and his family and collaborators, and he then researched this fascinating biography of an intellectual who was key in the development of these fields. Early chapters progress chronologically from Academician Salomaa's origins, childhood, and education to his professional successes in science, teaching, and publishing. His most impactful direct research efforts have been in the areas of automata and formal languages. Beyond that he has influenced many more scientists and professionals through collaborations, teaching, and books on topics such as biocomputing and cryptography. The author offers insights into Finnish history, culture, and academia, while historians of computer science will appreciate the vignettes describing some of the people who have shaped the field from the 1950s to today. The author and his subject return throughout to underlying themes such as the importance of family and the value of longstanding collegial relationships, while the work and achievements are leavened with humor and references to interests such as music, sport, and the sauna.

A Half-century of Automata Theory

Author : Arto Salomaa
Publisher : World Scientific
ISBN 13 : 9810245904
Total Pages : 164 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis A Half-century of Automata Theory by : Arto Salomaa

Download or read book A Half-century of Automata Theory written by Arto Salomaa and published by World Scientific. This book was released on 2001 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers lectures by 8 distinguished pioneers of automata theory, including two Turing Award winners. In each contribution, the early developments of automata theory are reminisced about and future directions are suggested. Although some of the contributions go into rather intriguing technical details, most of the book is accessible to a wide audience interested in the progress of the age of computers.The book is a must for professionals in theoretical computer science and related areas of mathematics. For students in these areas it provides an exceptionally deep view at the beginning of the new millennium.

Half-century Of Automata Theory, A: Celebration And Inspiration

Author : Arto Salomaa
Publisher : World Scientific
ISBN 13 : 9814491284
Total Pages : 164 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Half-century Of Automata Theory, A: Celebration And Inspiration by : Arto Salomaa

Download or read book Half-century Of Automata Theory, A: Celebration And Inspiration written by Arto Salomaa and published by World Scientific. This book was released on 2001-10-29 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers lectures by 8 distinguished pioneers of automata theory, including two Turing Award winners. In each contribution, the early developments of automata theory are reminisced about and future directions are suggested. Although some of the contributions go into rather intriguing technical details, most of the book is accessible to a wide audience interested in the progress of the age of computers.The book is a must for professionals in theoretical computer science and related areas of mathematics. For students in these areas it provides an exceptionally deep view at the beginning of the new millennium.

Aspects and Prospects of Theoretical Computer Science

Author : Jürgen Dassow
Publisher : Springer Science & Business Media
ISBN 13 : 9783540534143
Total Pages : 308 pages
Book Rating : 4.5/5 (341 download)

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Book Synopsis Aspects and Prospects of Theoretical Computer Science by : Jürgen Dassow

Download or read book Aspects and Prospects of Theoretical Computer Science written by Jürgen Dassow and published by Springer Science & Business Media. This book was released on 1990-11-07 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the texts of the tutorial lecture, five invited lectures and twenty short communications contributed for presentation at the Sixth International Meeting of Young Computer Scientists, IMYCS '90. The aim of these meetings is threefold: (1) to inform on newest trends, results, and problems in theoretical computer science and related fields through a tutorial and invited lectures delivered by internationally distinguished speakers, (2) to provide a possibility for beginners in scientific work to present and discuss their results, and (3) to create an adequate opportunity for establishing first professional relations among the participants.

Computer Science -- Theory and Applications

Author : Dima Grigoriev
Publisher : Springer Science & Business Media
ISBN 13 : 3540341668
Total Pages : 697 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Computer Science -- Theory and Applications by : Dima Grigoriev

Download or read book Computer Science -- Theory and Applications written by Dima Grigoriev and published by Springer Science & Business Media. This book was released on 2006-05-15 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Symposium on Computer Science in Russia (CSR 2006) was held on June 8–12, 2006 in St. Petersburg, Russia, hosted by the Steklov Institute of Mathematics at St. Petersburg.

Developments in Language Theory

Author : Oscar H. Ibarra
Publisher : Springer
ISBN 13 : 3540354301
Total Pages : 456 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Developments in Language Theory by : Oscar H. Ibarra

Download or read book Developments in Language Theory written by Oscar H. Ibarra and published by Springer. This book was released on 2006-06-22 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Developments in Language Theory, DLT 2006, held in Santa Barbara, CA, June 2006. The book presents 36 revised full papers together with 4 invited papers. All important issues in language theory are addressed including grammars, acceptors and transducers for strings, trees, graphs, arrays; efficient text algorithms; algebraic theories for automata and languages; and more.

Automata, Languages and Programming

Author : Fernando Orejas
Publisher : Springer Science & Business Media
ISBN 13 : 3540422870
Total Pages : 1098 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Automata, Languages and Programming by : Fernando Orejas

Download or read book Automata, Languages and Programming written by Fernando Orejas and published by Springer Science & Business Media. This book was released on 2001-06-27 with total page 1098 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 28th International Colloquium on Automata, Languages and Programming, ICALP 2001, held in Crete, Greece in July 2001. The 80 revised papers presented together with two keynote contributions and four invited papers were carefully reviewed and selected from a total of 208 submissions. The papers are organized in topical sections on algebraic and circuit complexity, algorithm analysis, approximation and optimization, complexity, concurrency, efficient data structures, graph algorithms, language theory, codes and automata, model checking and protocol analysis, networks and routing, reasoning and verification, scheduling, secure computation, specification and deduction, and structural complexity.

Advances in Logic Based Intelligent Systems

Author : Kazumi Nakamatsu
Publisher : IOS Press
ISBN 13 : 1586035681
Total Pages : 304 pages
Book Rating : 4.5/5 (86 download)

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Book Synopsis Advances in Logic Based Intelligent Systems by : Kazumi Nakamatsu

Download or read book Advances in Logic Based Intelligent Systems written by Kazumi Nakamatsu and published by IOS Press. This book was released on 2005 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: LAPTEC' 2005 promoted the discussion and interaction between researchers and practitioners focused on both theoretical and practical disciplines concerning logics applied to technology, with diverse backgrounds including all kinds of intelligent systems having classical or non-classical logics as underlying common matters.

Implementation and Applications of Automata

Author : Oscar H. Ibarra
Publisher : Springer
ISBN 13 : 3540708448
Total Pages : 289 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Implementation and Applications of Automata by : Oscar H. Ibarra

Download or read book Implementation and Applications of Automata written by Oscar H. Ibarra and published by Springer. This book was released on 2008-07-23 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 13th International Conference on Implementation and Application of - tomata (CIAA 2008) was held at San Francisco State University, San Francisco, July 21–24, 2008. This volume of Lecture Notes in Computer Science contains the papers that were presented at CIAA 2008, as well as the abstracts of the poster papers that were displayed during the conference. The volume also includes the - per/extended abstract of the four invited talks presented by Markus Holzer, Kai Salomaa, Mihalis Yannakakis, and Hsu-Chun Yen. The 24 regular papers were selected from 40 submissions covering various topics in the theory, implementation, and applications of automata and related structures. Each submitted paper was reviewed by at least three ProgramC- mittee members, with the assistance of external referees. The authors of the papers and posters presented in this volume come from the following co- tries: Australia, Belgium, Canada, China, Columbia, Czech Republic, France, Germany, Hungary, Italy, Japan, The Netherlands, Poland, Portugal, Romania, Russia, Spain, Sweden, Taiwan, United Arab Emerates, and USA. We wish to thank all who made this conference possible: the authors for s- mittingpapers,theProgramCommitteemembersandexternalreferees(listedin the proceedings) for their excellent work, and the four invited speakers. Finally, we wish to express our sincere appreciation to the sponsors, local organizers, and the editors of the Lecture Notes in Computer Science seriesand Springer, in particular Alfred Hofmann, for their help in publishing this volume in a timely manner.

Mathematics in Berlin

Author : Heinrich Begehr
Publisher : Springer Science & Business Media
ISBN 13 : 9783764359430
Total Pages : 1840 pages
Book Rating : 4.3/5 (594 download)

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Book Synopsis Mathematics in Berlin by : Heinrich Begehr

Download or read book Mathematics in Berlin written by Heinrich Begehr and published by Springer Science & Business Media. This book was released on 1998-07-21 with total page 1840 pages. Available in PDF, EPUB and Kindle. Book excerpt: This little book is conceived as a service to mathematicians attending the 1998 International Congress of Mathematicians in Berlin. It presents a comprehensive, condensed overview of mathematical activity in Berlin, from Leibniz almost to the present day (without, however, including biographies of living mathematicians). Since many towering figures in mathematical history worked in Berlin, most of the chapters of this book are concise biographies. These are held together by a few survey articles presenting the overall development of entire periods of scientific life at Berlin. Overlaps between various chapters and differences in style between the chap ters were inevitable, but sometimes this provided opportunities to show different aspects of a single historical event - for instance, the Kronecker-Weierstrass con troversy. The book aims at readability rather than scholarly completeness. There are no footnotes, only references to the individual bibliographies of each chapter. Still, we do hope that the texts brought together here, and written by the various authors for this volume, constitute a solid introduction to the history of Berlin mathematics.