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Regular expressions and context-free grammars for picture languages

  • Oliver Matz
Automata Theory II
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1200)

Abstract

We introduce a new concept of regular expression and context-free grammar for picture languages (sets of matrices over a finite alphabet) and compare and connect these two formalisms.

Keywords

formal languages pictures languages grammars regular expressions 

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References

  1. [GR92]
    D. Giammarresi and A. Restivo. Recognizable picture languages. In Proceedings First International Colloqium on Parallel Image Processing 1991, number 6 in International Journal Pattern Recognition and Artificial Intelligence, pages 241–256, 1992.Google Scholar
  2. [GR96]
    D. Giammarresi and A. Restivo. Two-dimensional languages. In G. Rozenberg and A. Salomaa, editors, Handbook of Formal Language Theory, volume III. Springer-Verlag, New York, 1996.Google Scholar
  3. [GRST96]
    D. Giammarresi, A. Restivo, S. Seibert, and W. Thomas. Monadic second-order logic and recognizability by tiling systems. Information and Computation, 125:32–45, 1996.CrossRefGoogle Scholar
  4. [Mat95]
    Oliver Matz. Klassifizierung von Bildsprachen mit rationalen Ausdrücken, Grammatiken und Logik-Formeln. Diploma thesis, Christian-Albrechts-Universität Kiel, 1995. (German).Google Scholar
  5. [Sir87]
    R. Siromoney. Advances in array languages. In Ehrig et al., editors, Graph Grammars and Their Applications to Computer Science, volume 291 of Lecture Notes in Computer Science, pages 549–563. Springer-Verlag, 1987.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Oliver Matz
    • 1
  1. 1.Institut für Informatik und Praktische MathematikChristian-Albrechts-UnivertitätKiel

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