Confluent String Rewriting

Language: English

Published by Springer, Springer Gabler Okt 2011, 2011

3642648673 / 9783642648670

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This item is printed on demand - Print on Demand Titel. 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 140 pp. Englisch.…

Seller Inventory # 9783642648670

Title
Confluent String Rewriting
Author
Matthias Jantzen
Publisher
Springer, Springer Gabler Okt 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642648673
ISBN 13
9783642648670
Item weight
224 grams
Dimensions
235x155x8 mm

buchversandmimpf2000

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