Kleene Schutzenberger And Buchi Theorems For Weighted Timed Automata

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Kleene-Schützenberger and Büchi Theorems for Weighted Timed Automata

Author : Karin Quaas
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832525009
Total Pages : 132 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Kleene-Schützenberger and Büchi Theorems for Weighted Timed Automata by : Karin Quaas

Download or read book Kleene-Schützenberger and Büchi Theorems for Weighted Timed Automata written by Karin Quaas and published by Logos Verlag Berlin GmbH. This book was released on 2010 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1994, Alur and Dill introduced timed automata as a simple mathematical model for modelling the behaviour of real-time systems. In this thesis, we extend timed automata with weights. More detailed, we equip both the states and transitions of a timed automaton with weights taken from an appropriate mathematical structure. The weight of a transition determines the weight for taking this transition, and the weight of a state determines the weight for letting time elapse in this state. Since the weight for staying in a state depends on time, this model, called weighted timed automata, has many interesting applications, for instance, in operations research and scheduling. We give characterizations for the behaviours of weighted timed automata in terms of rational expressions and logical formulas. These formalisms are useful for the specification of real-time systems with continuous resource consumption. We further investigate the relation between the behaviours of weighted timed automata and timed automata. Finally, we present important decidability results for weighted timed automata.

Automata, Languages, and Programming

Author : Javier Esparza
Publisher : Springer
ISBN 13 : 3662439514
Total Pages : 652 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Automata, Languages, and Programming by : Javier Esparza

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.

Foundations of Software Science and Computational Structures

Author : Roberto Amadio
Publisher : Springer Science & Business Media
ISBN 13 : 3540784977
Total Pages : 519 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Foundations of Software Science and Computational Structures by : Roberto Amadio

Download or read book Foundations of Software Science and Computational Structures written by Roberto Amadio and published by Springer Science & Business Media. This book was released on 2008-03-18 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2008, held in Budapest, Hungary, in March/April 2008 as part of ETAPS 2008, the European Joint Conferences on Theory and Practice of Software. The 33 revised full papers presented together with the abstract of 1 invited talk were carefully reviewed and selected from 124 submissions. A broad variety of theories and methods to support analysis, synthesis, transformation and verification of programs and software systems are addressed, including the following topics: algebraic models, automata and language theory, behavioural equivalences, categorical models, computation processes over discrete and continuous data, infinite state systems, computational structures, logics of programs, modal, spatial, and temporal logics, models of concurrent, reactive, distributed, and mobile systems, process algebras and calculi, semantics of programming languages, software specification and refinement, type systems and type theory, fundamentals of security, semi-structured data, program correctness and verification.

Developments in Language Theory

Author : Volker Diekert
Publisher : Springer
ISBN 13 : 3642027377
Total Pages : 513 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Developments in Language Theory by : Volker Diekert

Download or read book Developments in Language Theory written by Volker Diekert and published by Springer. This book was released on 2009-07-01 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 13th International Conference, DLT 2009, held in Stuttgart, Germany from June 30 until July 3, 2009. The 35 papers presented together with 4 invited talks were carefully reviewed and selected from 70 submissions. The papers presented address topics on formal languages, automata theory, computability, complexity, logic, petri nets and related areas.

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.

Developments in Language Theory

Author : Masami Ito
Publisher : Springer Science & Business Media
ISBN 13 : 3540857796
Total Pages : 555 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Developments in Language Theory by : Masami Ito

Download or read book Developments in Language Theory written by Masami Ito and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Developments in Language Theory, DLT 2008, held in Kyoto, Japan, September 2008. The 36 revised full papers presented together with 6 invited papers were carefully reviewed and selected from 102 submissions. All important issues in language theory are addressed including 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.

Automata, Languages and Programming

Author : Jos C.M. Baeten
Publisher : Springer
ISBN 13 : 3540450610
Total Pages : 1218 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Automata, Languages and Programming by : Jos C.M. Baeten

Download or read book Automata, Languages and Programming written by Jos C.M. Baeten and published by Springer. This book was released on 2003-01-01 with total page 1218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The refereed proceedings of the 30th International Colloquium on Automata, Languages and Programming, ICALP 2003, held in Eindhoven, The Netherlands in June/July 2003. The 84 revised full papers presented together with six invited papers were carefully reviewed and selected from 212 submissions. The papers are organized in topical sections on algorithms, process algebra, approximation algorithms, languages and programming, complexity, data structures, graph algorithms, automata, optimization and games, graphs and bisimulation, online problems, verification, the Internet, temporal logic and model checking, graph problems, logic and lambda-calculus, data structures and algorithms, types and categories, probabilistic systems, sampling and randomness, scheduling, and geometric problems.

Algebraic Foundations in Computer Science

Author : Werner Kuich
Publisher : Springer Science & Business Media
ISBN 13 : 3642248969
Total Pages : 372 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Algebraic Foundations in Computer Science by : Werner Kuich

Download or read book Algebraic Foundations in Computer Science written by Werner Kuich and published by Springer Science & Business Media. This book was released on 2011-10-13 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of 15 papers honors the career of Symeon Bozapalidis. The focus is on his teaching subjects: algebra, linear algebra, mathematical logic, number theory, automata theory, tree languages and series, algebraic semantics, and fuzzy languages.

Mathematical Foundations of Computer Science 2010

Author : Petr Hlineny
Publisher : Springer
ISBN 13 : 3642151558
Total Pages : 730 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Mathematical Foundations of Computer Science 2010 by : Petr Hlineny

Download or read book Mathematical Foundations of Computer Science 2010 written by Petr Hlineny and published by Springer. This book was released on 2010-08-14 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the 35th International Symposium on Mathematical Foundations of Computer Science, MFCS 2010, held in Brno, Czech Republic, in August 2010. The 56 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 149 submissions. Topics covered include algorithmic game theory, algorithmic learning 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, and theoretical issues in artificial intelligence.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 932 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Graph Structure and Monadic Second-Order Logic

Author : Bruno Courcelle
Publisher : Cambridge University Press
ISBN 13 : 1139644009
Total Pages : 743 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Graph Structure and Monadic Second-Order Logic by : Bruno Courcelle

Download or read book Graph Structure and Monadic Second-Order Logic written by Bruno Courcelle and published by Cambridge University Press. This book was released on 2012-06-14 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of graph structure has advanced in recent years with great strides: finite graphs can be described algebraically, enabling them to be constructed out of more basic elements. Separately the properties of graphs can be studied in a logical language called monadic second-order logic. In this book, these two features of graph structure are brought together for the first time in a presentation that unifies and synthesizes research over the last 25 years. The authors not only provide a thorough description of the theory, but also detail its applications, on the one hand to the construction of graph algorithms, and, on the other to the extension of formal language theory to finite graphs. Consequently the book will be of interest to graduate students and researchers in graph theory, finite model theory, formal language theory, and complexity theory.

Applied Automata Theory

Author : Julius T. Tou
Publisher : Academic Press
ISBN 13 : 1483225194
Total Pages : 343 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Applied Automata Theory by : Julius T. Tou

Download or read book Applied Automata Theory written by Julius T. Tou and published by Academic Press. This book was released on 2013-10-22 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Automata Theory provides an engineering style of presentation of some of the applied work in the field of automata theory. Topics covered range from algebraic foundations and recursive functions to regular expressions, threshold logic, and switching circuits. Coding problems and stochastic processes are also discussed, along with content addressable memories, probabilistic reliability, and Turing machines. Much emphasis is placed on engineering applications. Comprised of nine chapters, this book first deals with the algebraic foundations of automata theory, focusing on concepts such as semigroups, groups and homomorphisms, and partially ordered sets and lattices, as well as congruences and other relations. The reader is then introduced to regular expressions; stochastic automata and discrete systems theory; and switching networks as models of discrete stochastic processes. Subsequent chapters explore applications of automata theory in coding; content addressable and distributed logic memories; recursive functions and switching-circuit theory; and synthesis of a cellular computer. The book concludes with an assessment of the fundamentals of threshold logic. This monograph is intended for graduates or advanced undergraduates taking a course in information science or a course on discrete systems in modern engineering curriculum.

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.

Mathematical Linguistics

Author : Andras Kornai
Publisher : Springer Science & Business Media
ISBN 13 : 1846289858
Total Pages : 300 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Mathematical Linguistics by : Andras Kornai

Download or read book Mathematical Linguistics written by Andras Kornai and published by Springer Science & Business Media. This book was released on 2007-11-10 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed. As the first textbook of its kind, this book is useful for those in information science and in natural language technologies.

Algebra and Coalgebra in Computer Science

Author : Andrea Corradini
Publisher : Springer Science & Business Media
ISBN 13 : 3642229433
Total Pages : 431 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Algebra and Coalgebra in Computer Science by : Andrea Corradini

Download or read book Algebra and Coalgebra in Computer Science written by Andrea Corradini and published by Springer Science & Business Media. This book was released on 2011-08-19 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Conference on Algebra and Coalgebra in Computer Science, CALCO 2011, held in Winchester, UK, in August/September 2011. The 21 full papers presented together with 4 invited talks were carefully reviewed and selected from 41 submissions. The papers report results of theoretical work on the mathematics of algebras and coalgebras, the way these results can support methods and techniques for software development, as well as experience with the transfer of the resulting technologies into industrial practice. They cover topics in the fields of abstract models and logics, specialized models and calculi, algebraic and coalgebraic semantics, and system specification and verification. The book also includes 6 papers from the CALCO-tools Workshop, colocated with CALCO 2011 and dedicated to tools based on algebraic and/or coalgebraic principles.

Automata Implementation

Author : Jean-Marc Champarnaud
Publisher : Springer Science & Business Media
ISBN 13 : 9783540666523
Total Pages : 60 pages
Book Rating : 4.6/5 (665 download)

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Book Synopsis Automata Implementation by : Jean-Marc Champarnaud

Download or read book Automata Implementation written by Jean-Marc Champarnaud and published by Springer Science & Business Media. This book was released on 1999-10-13 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-workshop proceedings of the Third International Workshop on Implementing Automata, WIA'98, held in Rouen, France, in September 1998. The 21 revised full papers presented were carefully selected from the workshop contributions after several rounds of reviewing. The papers are devoted to issues of implementing automata of various types important for areas such as parsing, computational linguistics, speech recognition, text searching, device controlers, distributed systems, and protocol analysis.