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Hyperedge Replacement: Grammars and Languages

Hyperedge Replacement: Grammars and Languages

Paperback

Series: Lecture Notes in Computer Science, Book 643

FictionGeneral Mathematics

ISBN10: 354056005X
ISBN13: 9783540560050
Publisher: Springer Nature
Published: Dec 17 1992
Pages: 221
Weight: 0.74
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
The area of graph grammars is theoretically attractive and well motivated byvarious applications. More than 20 years ago, the concept of graph grammars was introduced by A. Rosenfeld as a formulation of some problems in pattern recognition and image processing, as well as by H.J. Schneider as a method for data type specification. Within graph-grammar theory one maydistinguish the set-theoretical approach, the algebraic approach, and the logical approach. These approaches differ in the method in which graph replacement is described. Specific approaches, node replacement and hyperedge replacement, concern the basic units of a hypergraph, nodes and hyperedges. This monograph is mainly concerned with the hyperedge-replacement approach. Hyperedge-replacement grammars are introduced as a device for generating hypergraph languages including graph languages and string languages. The concept combines a context-free rewriting with a comparatively large generative power. The volume includes a foreword by H. Ehrig.

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