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Normal forms for context-free node-rewriting hypergraph grammars

Published online by Cambridge University Press:  08 May 2002

RENATE KLEMPIEN-HINRICHS
RENATE KLEMPIEN-HINRICHS
Affiliation:
Universität Bremen, Fachbereich Mathematik/Informatik, Postfach 33 04 40, 28334 Bremen, Germany; Email: [email protected]
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Abstract

Confluent node-rewriting hypergraph grammars represent the most comprehensive known method for defining sets of hypergraphs in a recursive way. For a large natural subclass of these grammars, we show that the maximal rank of hyperedges indispensable for generating some set of hypergraphs equals the maximal rank of the hyperedges occurring in the hypergraphs of that set. Moreover, if such a grammar generates a set of graphs, one can construct from that grammar a C-edNCE graph grammar generating the same set of graphs.

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 12 , Issue 2 , April 2002 , pp. 135 - 148
Copyright
© 2002 Cambridge University Press

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