Contextual graph grammars characterising Rational Graphs

Christophe Morvan 1
1 VERTECS - Verification models and techniques applied to testing and control of reactive systems
Inria Rennes – Bretagne Atlantique
Abstract : Deterministic graph grammars generate a family of infinite graphs which characterise context-free (word) languages. The present paper introduces a context-sensitive extension of these grammars. We prove that this extension characterises rational graphs (whose traces are context-sensitive languages). We illustrate that this extension is not straightforward: the most obvious context-sensitive graph rewriting systems generate non recursive infinite graphs.
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Henning Bordihn and Rudolf Freund and Markus Holzer and Martin Kutrib and Friedrich Otto. Workshop on Non-Classical Models for Automata and Applications 2010, 2010, Jena, Germany. Österreichischen Computer Gesellschaft, pp.141-153, 2010, book@ocg.at
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Christophe Morvan. Contextual graph grammars characterising Rational Graphs. Henning Bordihn and Rudolf Freund and Markus Holzer and Martin Kutrib and Friedrich Otto. Workshop on Non-Classical Models for Automata and Applications 2010, 2010, Jena, Germany. Österreichischen Computer Gesellschaft, pp.141-153, 2010, book@ocg.at. 〈inria-00525409〉

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