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Grammars on partial graphs

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Summary

The concept of Chomsky-grammars is generalized to graph-grammars; the “gluing” of graphs is defined by a pushout-construction. In the present paper, we allow the left-hand and right-hand side of a production to be partial graphs, i.e. graphs in which there may be edges without a source or target node. A necessary and sufficient condition for applicability of productions is given. Furthermore, convex graph-grammars are studied.

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Authors and Affiliations

  1. Institut für Math. Maschinen und Datenverarbeitung (II) der Univ. Erlangen-Nürnberg, Egerlandstr. 13, D-8520, Erlangen, Federal Republic of Germany

    H. J. Schneider

  2. Forschungsgruppe Automatentheorie und Formale Sprachen der TU Berlin, Otto-Suhr-Allee 18-20, D-1000, Berlin 10

    H. Ehrig

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  1. H. J. Schneider
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  2. H. Ehrig
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Schneider, H.J., Ehrig, H. Grammars on partial graphs. Acta Informatica 6, 297–316 (1976). https://doi.org/10.1007/BF00288659

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