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Regular expressions and context-free grammars for picture languages

  • Automata Theory II
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STACS 97 (STACS 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1200))

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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.

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References

  1. 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. 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. 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.

    Article  Google Scholar 

  4. Oliver Matz. Klassifizierung von Bildsprachen mit rationalen Ausdrücken, Grammatiken und Logik-Formeln. Diploma thesis, Christian-Albrechts-Universität Kiel, 1995. (German).

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  5. 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 

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Rüdiger Reischuk Michel Morvan

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© 1997 Springer-Verlag Berlin Heidelberg

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Matz, O. (1997). Regular expressions and context-free grammars for picture languages. In: Reischuk, R., Morvan, M. (eds) STACS 97. STACS 1997. Lecture Notes in Computer Science, vol 1200. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0023466

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  • DOI: https://doi.org/10.1007/BFb0023466

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62616-9

  • Online ISBN: 978-3-540-68342-1

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