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A Semiring-Semimodule Generalization of ω-Context-Free Languages

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Theory Is Forever

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3113))

Abstract

We develop an algebraic theory on semiring-semimodule pairs for ω-context-free languages. We define ω-algebraic systems and characterize their solutions of order k by behaviors of algebraic finite automata. These solutions are then set in correspondence to ω-context-free languages.

Partially supported by Aktion Österreich-Ungarn, Wissenschafts- und Erziehungskooperation, Projekt 53ÖU1. Additionally, the first author was supported, in part, by the National Foundation of Hungary for Scientific Research, grant T 35163.

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Author information

Authors and Affiliations

  1. University of Szeged,  

    Zoltán Ésik

  2. Technische Universität Wien,  

    Werner Kuich

Authors
  1. Zoltán Ésik
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  2. Werner Kuich
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Turku Centre for Computer Science TUCS, University of Turku, 20014, Turku, Finland

    Juhani Karhumäki

  2. Institute for Information Systems and Computer Media (IICM), Graz University of Technology, A-8010, Graz, Austria

    Hermann Maurer

  3. Institute of Mathematics of the Romanian Academy, PO Box 1-764, 014700, Bucureşti, Romania

    Gheorghe Păun

  4. Leiden Center of Advanced Computer Science (LIACS), Leiden University, Niels Bohrweg 1, 2333, Leiden, CA, The Netherlands

    Grzegorz Rozenberg

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Ésik, Z., Kuich, W. (2004). A Semiring-Semimodule Generalization of ω-Context-Free Languages. In: Karhumäki, J., Maurer, H., Păun, G., Rozenberg, G. (eds) Theory Is Forever. Lecture Notes in Computer Science, vol 3113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27812-2_7

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  • DOI: https://doi.org/10.1007/978-3-540-27812-2_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22393-1

  • Online ISBN: 978-3-540-27812-2

  • eBook Packages: Springer Book Archive

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