Handbook of Weighted Automata

Name: Handbook of Weighted Automata
SKU: 20848393
Price: 652.00 NZD
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Paperback / softback

Series:

Monographs in Theoretical Computer Science : an EATCS Series

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Description

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.

Release date NZ

March 14th, 2012

Audience

Postgraduate, Research & Scholarly

Contributors

Edited by Heiko Vogler
Edited by Manfred Droste
Edited by Werner Kuich

Illustrations

XVII, 608 p.

Pages

608

Series

Monographs in Theoretical Computer Science : an EATCS Series

Dimensions

155x235x32

ISBN-13

9783642260490

Product ID

20848393

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