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Handbook of Weighted Automata
Buch von Manfred Droste (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
Foundations.- Semirings and Formal Power Series.- Fixed Point Theory.- Concepts of Weighted Recognizability.- Finite Automata.- Rational and Recognisable Power Series.- Weighted Automata and Weighted Logics.- Weighted Automata Algorithms.- Weighted Discrete Structures.- Algebraic Systems and Pushdown Automata.- Lindenmayer Systems.- Weighted Tree Automata and Tree Transducers.- Traces, Series-Parallel Posets, and Pictures: A Weighted Study.- Applications.- Digital Image Compression.- Fuzzy Languages.- Model Checking Linear-Time Properties of Probabilistic Systems.- Applications of Weighted Automata in Natural Language Processing.
Details
Medium: Buch
Reihe: Monographs in Theoretical Computer Science. An EATCS Series
Inhalt: xvii
608 S.
ISBN-13: 9783642014918
ISBN-10: 3642014917
Sprache: Englisch
Herstellernummer: 12073184
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Redaktion: Droste, Manfred
Vogler, Heiko
Kuich, Werner
Herausgeber: Manfred Droste/Werner Kuich/Heiko Vogler
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Monographs in Theoretical Computer Science. An EATCS Series
Maße: 241 x 160 x 43 mm
Von/Mit: Manfred Droste (u. a.)
Erscheinungsdatum: 28.09.2009
Gewicht: 1,213 kg
Artikel-ID: 101557263
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
Foundations.- Semirings and Formal Power Series.- Fixed Point Theory.- Concepts of Weighted Recognizability.- Finite Automata.- Rational and Recognisable Power Series.- Weighted Automata and Weighted Logics.- Weighted Automata Algorithms.- Weighted Discrete Structures.- Algebraic Systems and Pushdown Automata.- Lindenmayer Systems.- Weighted Tree Automata and Tree Transducers.- Traces, Series-Parallel Posets, and Pictures: A Weighted Study.- Applications.- Digital Image Compression.- Fuzzy Languages.- Model Checking Linear-Time Properties of Probabilistic Systems.- Applications of Weighted Automata in Natural Language Processing.
Details
Medium: Buch
Reihe: Monographs in Theoretical Computer Science. An EATCS Series
Inhalt: xvii
608 S.
ISBN-13: 9783642014918
ISBN-10: 3642014917
Sprache: Englisch
Herstellernummer: 12073184
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Redaktion: Droste, Manfred
Vogler, Heiko
Kuich, Werner
Herausgeber: Manfred Droste/Werner Kuich/Heiko Vogler
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Monographs in Theoretical Computer Science. An EATCS Series
Maße: 241 x 160 x 43 mm
Von/Mit: Manfred Droste (u. a.)
Erscheinungsdatum: 28.09.2009
Gewicht: 1,213 kg
Artikel-ID: 101557263
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