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International Workshop on Coalgebraic Methods in Computer Science

CMCS 2012: Coalgebraic Methods in Computer Science pp 20–39Cite as

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Defining Context-Free Power Series Coalgebraically

Defining Context-Free Power Series Coalgebraically

  • Marcello M. Bonsangue19,18,
  • Jan Rutten18,20 &
  • Joost Winter18 
  • Conference paper
  • 566 Accesses

  • 5 Citations

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7399)

Abstract

In this paper we present a coinductive definition of context free power series in terms of behavioural differential equations. We show that our coalgebraic approach provides a unified view on many, at first sight different, existing notions of algebraicity, and we apply our behavioural differential equations to produce a new proof for a classical result by Chomsky and Schützenberger, and a simple proof that the zip-operator of two algebraic streams is algebraic.

Keywords

  • Normal Form
  • Power Series
  • Strong Solution
  • Formal Power Series
  • Disjunctive Normal Form

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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  12. Silva, A., Bonchi, F., Bonsangue, M., Rutten, J.: Generalizing the powerset construction, coalgebraically. In: Lodaya, K., Mahajan, M. (eds.) FSTTCS 2010. LIPIcs, vol. 8, pp. 272–283 (2010)

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Author information

Authors and Affiliations

  1. Centrum Wiskunde & Informatica (CWI), The Netherlands

    Marcello M. Bonsangue, Jan Rutten & Joost Winter

  2. LIACS, Leiden University, The Netherlands

    Marcello M. Bonsangue

  3. Radboud University, Nijmegen, The Netherlands

    Jan Rutten

Authors
  1. Marcello M. Bonsangue
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  2. Jan Rutten
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  3. Joost Winter
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Editor information

Editors and Affiliations

  1. Research School of Information Sciences and Engineering, The Australian National University, 0200, Canberra, ACT, Australia

    Dirk Pattinson

  2. Department of Computer Science, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058, Erlangen, Germany

    Lutz Schröder

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© 2012 IFIP International Federation for Information Processing

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Cite this paper

Bonsangue, M.M., Rutten, J., Winter, J. (2012). Defining Context-Free Power Series Coalgebraically. In: Pattinson, D., Schröder, L. (eds) Coalgebraic Methods in Computer Science. CMCS 2012. Lecture Notes in Computer Science, vol 7399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32784-1_2

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  • DOI: https://doi.org/10.1007/978-3-642-32784-1_2

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  • Print ISBN: 978-3-642-32783-4

  • Online ISBN: 978-3-642-32784-1

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