Adaptive Star Grammars

  • Frank Drewes
  • Berthold Hoffmann
  • Dirk Janssens
  • Mark Minas
  • Niels Van Eetvelde
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4178)


We propose an extension of node and hyperedge replacement grammars, called adaptive star grammars, and study their basic properties. A rule in an adaptive star grammar is actually a rule schema which, via the so-called cloning operation, yields a potentially infinite number of concrete rules. Adaptive star grammars are motivated by application areas such as modeling and refactoring object-oriented programs. We prove that cloning can be applied lazily. Unrestricted adaptive star grammars are shown to be capable of generating every type-0 string language. However, we identify a reasonably large subclass for which the membership problem is decidable.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Frank Drewes
    • 1
  • Berthold Hoffmann
    • 2
  • Dirk Janssens
    • 3
  • Mark Minas
    • 4
  • Niels Van Eetvelde
    • 3
  1. 1.Umeå universitetSweden
  2. 2.Universität BremenGermany
  3. 3.Universiteit AntwerpenBelgium
  4. 4.Universität der Bundeswehr MünchenGermany

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