Handbook Of Weighted Automata

Author : Manfred Droste
Publisher : Springer Science & Business Media
ISBN 13 : 3642014925
Total Pages : 614 pages
Book Rating : 4.25/5 ( download)

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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.

Author : Manfred Droste
Publisher : Springer
ISBN 13 : 9783642014918
Total Pages : 608 pages
Book Rating : 4.17/5 ( download)

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Download or read book Handbook of Weighted Automata written by Manfred Droste and published by Springer. This book was released on 2009-09-28 with total page 608 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.

Author : Laura Wirth
Publisher : Springer Nature
ISBN 13 : 3658393238
Total Pages : 191 pages
Book Rating : 4.36/5 ( download)

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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.

Author : Jacques Sakarovitch
Publisher : Cambridge University Press
ISBN 13 : 1139643797
Total Pages : 818 pages
Book Rating : 4.95/5 ( download)

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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.

Author : Nelma Moreira
Publisher : Springer
ISBN 13 : 3642316069
Total Pages : 381 pages
Book Rating : 4.67/5 ( download)

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Download or read book Implementation and Application of Automata written by Nelma Moreira and published by Springer. This book was released on 2012-08-27 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed papers of the 17th International Conference on Implementation and Application of Automata, CIAA 2012, held in Porto, Portugal, in July 2012. The 21 revised full papers presented together with 5 invited papers and 7 short papers were carefully selected from 53 submissions. The papers cover various topics such as automata applications in formal verification methods, natural language processing, pattern matching, data storage and retrieval, and bioinformatics, as well as theoretical work on automata theory.

Author : Jacob Benesty
Publisher : Springer Science & Business Media
ISBN 13 : 3540491252
Total Pages : 1170 pages
Book Rating : 4.55/5 ( download)

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Download or read book Springer Handbook of Speech Processing written by Jacob Benesty and published by Springer Science & Business Media. This book was released on 2007-11-28 with total page 1170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook plays a fundamental role in sustainable progress in speech research and development. With an accessible format and with accompanying DVD-Rom, it targets three categories of readers: graduate students, professors and active researchers in academia, and engineers in industry who need to understand or implement some specific algorithms for their speech-related products. It is a superb source of application-oriented, authoritative and comprehensive information about these technologies, this work combines the established knowledge derived from research in such fast evolving disciplines as Signal Processing and Communications, Acoustics, Computer Science and Linguistics.

Author : Sebastian Maneth
Publisher : Springer Nature
ISBN 13 : 3030791211
Total Pages : 191 pages
Book Rating : 4.16/5 ( download)

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Download or read book Implementation and Application of Automata written by Sebastian Maneth and published by Springer Nature. This book was released on 2021-06-22 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 25th International Conference on Implementation and Application of Automata, CIAA 2021, held in July 2021. Due to Covid-19 pandemic the conference was held virtually. The 13 regular papers presented in this book were carefully reviewed and selected from 20 submissions. The topics of the papers cover various fields in the application, implementation, and theory of automata and related structures.

Author : Alberto Leporati
Publisher : Springer Nature
ISBN 13 : 3030681955
Total Pages : 343 pages
Book Rating : 4.51/5 ( download)

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Download or read book Language and Automata Theory and Applications written by Alberto Leporati and published by Springer Nature. This book was released on 2021-02-22 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 15th International Conference on Language and Automata Theory and Applications, LATA 2021, held in Milan, Italy, in March 2021. The 26 full papers presented in this volume were carefully reviewed and selected from 52 submissions. They were organized in topical sections named: algebraic structures; automata; complexity; learning; logics and languages; trees and graphs; and words and strings.

Author : Javier Esparza
Publisher : Springer
ISBN 13 : 3662439514
Total Pages : 652 pages
Book Rating : 4.17/5 ( download)

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Download or read book Automata, Languages, and Programming written by Javier Esparza and published by Springer. This book was released on 2014-06-11 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set of LNCS 8572 and LNCS 8573 constitutes the refereed proceedings of the 41st International Colloquium on Automata, Languages and Programming, ICALP 2014, held in Copenhagen, Denmark, in July 2014. The total of 136 revised full papers presented together with 4 invited talks were carefully reviewed and selected from 484 submissions. The papers are organized in three tracks focussing on Algorithms, Complexity, and Games, Logic, Semantics, Automata, and Theory of Programming, Foundations of Networked Computation.

Author : Cezar Câmpeanu
Publisher : Springer
ISBN 13 : 3319948121
Total Pages : 351 pages
Book Rating : 4.26/5 ( download)

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Download or read book Implementation and Application of Automata written by Cezar Câmpeanu and published by Springer. This book was released on 2018-07-23 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 23rd International Conference on Implementation and Application of Automata, CIAA 2018, held in Charlottetown, PE, Canada, in July/August 2018.The 23 regular papers presented in this book together with 4 invited papers were carefully reviewed and selected from 39 initial submissions. The topics of the papers include state complexity of automata, implementations of automata and experiments, enhanced regular expressions, and complexity analysis.