Articles liés à Confluent String Rewriting
Synopsis
Confluent String Rewriting This monograph treats comprehensively central aspects of string rewriting systems in the form of semi-Thue systems. These are so general as to enable the discussion of all the basic notions and questions that arise in arbitrary replacement systems as used in various areas of computer science. The Church-Rosser property is used in its original meaning and the existence of complete monoid and group presentations is the central point of discussion. Decidability problems with their complexity are surveyed and congruential languages including the deterministic context-free NTS languages are discussed. The book contains a number of generalizations of results publi...
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- ÉditeurSpringer
- Date d'édition2011
- ISBN 10 3642648673
- ISBN 13 9783642648670
- ReliureBroché
- Langueanglais
- Nombre de pages140
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Confluent String Rewriting (Monographs in Theoretical Computer Science. An EATCS Series)
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Confluent String Rewriting (Monographs in Theoretical Computer Science. An EATCS Series)
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Confluent String Rewriting (Monographs in Theoretical Computer Science. An EATCS Series)
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Springer-Verlag 1988-01-01, 1988
ISBN 10 : 3642648673
ISBN 13 : 9783642648670
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Confluent String Rewriting
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Springer Berlin Heidelberg, 2011
ISBN 10 : 3642648673
ISBN 13 : 9783642648670
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Replacement systems, such as term rewriting systems, tree manipulat ing systems, and graph grammars, have been used in Computer Science in the context of theorem proving, program optimization, abstract data types, algebraic simplification, and symbolic comput ation. Replacement systems for strings arose about seventy years earlier in the area of combinatory logic and group theory. The most natural and appropriate formalism for dealing with string rewriting is the notion of a semi-Thue system and this monograph treats its central aspects. The reduction relation is here defined firstly by the direction of the rules and secondly by some metric that yields efficient algorithms. These systems are general enough to discuss the basic notions of arbitrary replacement systems, such as termination, confluence, and the Church-Rosser property in its original meaning. Confluent semi-Thue systems in which each and every derivation consists of finitely many steps only are called complete; they guarantee the existence of unique normal forms as canonical representatives of the Thue congruence classes. Each such system can be considered a nondeterministic algorithm for the word problem which works correctly without backtracking. This is often conceptually simpler and more elegant than an ad hoc construction. In many cases a replace ment system can be altered to a complete system by the Knuth-Bendix completion method. N° de réf. du vendeur 9783642648670
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Confluent String Rewriting
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Springer Berlin Heidelberg Okt 2011, 2011
ISBN 10 : 3642648673
ISBN 13 : 9783642648670
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Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Replacement systems, such as term rewriting systems, tree manipulat ing systems, and graph grammars, have been used in Computer Science in the context of theorem proving, program optimization, abstract data types, algebraic simplification, and symbolic comput ation. Replacement systems for strings arose about seventy years earlier in the area of combinatory logic and group theory. The most natural and appropriate formalism for dealing with string rewriting is the notion of a semi-Thue system and this monograph treats its central aspects. The reduction relation is here defined firstly by the direction of the rules and secondly by some metric that yields efficient algorithms. These systems are general enough to discuss the basic notions of arbitrary replacement systems, such as termination, confluence, and the Church-Rosser property in its original meaning. Confluent semi-Thue systems in which each and every derivation consists of finitely many steps only are called complete; they guarantee the existence of unique normal forms as canonical representatives of the Thue congruence classes. Each such system can be considered a nondeterministic algorithm for the word problem which works correctly without backtracking. This is often conceptually simpler and more elegant than an ad hoc construction. In many cases a replace ment system can be altered to a complete system by the Knuth-Bendix completion method. 140 pp. Englisch. N° de réf. du vendeur 9783642648670
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Confluent String Rewriting
Edité par
Springer Berlin Heidelberg, 2011
ISBN 10 : 3642648673
ISBN 13 : 9783642648670
Neuf
Couverture souple
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Confluent String Rewriting (Monographs in Theoretical Computer Science. An EATCS Series, 14)
Edité par
Springer, 2011
ISBN 10 : 3642648673
ISBN 13 : 9783642648670
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