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Modular decomposition of automata

  • Section III: Automata And Machines
  • Conference paper
  • First Online:
Logic and Machines: Decision Problems and Complexity (LaM 1983)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 171))

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Abstract

This paper deals with some aspects of Normed Networks (NN) and Asynchronous Parallel Automata nets (APA). A NN is a canonical composition of sequential machines and NN theory deals thus with the classical theory of sequential computation. An APA net is also a straightforward composition of concurrent automata and APA net theory thus handles asynchronous parallel computations. APA nets are very closely related to Vector Addition Systems but allow only local conflicts within the component machines while the network structure is a modular one and thus conflict-free. As a main aspect the paper asks for optimal realisations of sequential automata by NN and APA nets, respectively.

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5. References

  1. Brüggemann, A./Klein, R.: Über die Minimalität von {K,F,D}. Arbeitspapier Nr. 8, Inst. f. Math. Logik u. Grundlagenforschung, Münster (1983)

    Google Scholar 

  2. Keller, R.M.: Towards a Theory of Universal Speed-Independent Modules, IEEE Transactions on Computers, Vol. C-23, No. 1, Jan. 1974

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  3. Körber, P.: Untersuchungen an sequentiellen, durch normierte Konstruktionen gewonnenen Netzwerken endlicher Automaten. Dissertation, Inst. f. Math. Logik u. Grundlagenforschung, Münster (1976)

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  4. Ottmann, Th.: über Möglichkeiten zur Simulation endlicher Automaten durch eine Art sequentieller Netzwerke aus einfachen Bausteinen. ZmLG 19 (1973)

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  5. Priese, L./Rödding, D.: A Combinatorial Approach to Self-Correction. J. Cybern. 4 (1974)

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  6. Priese, L.: Automata and Concurrency. TCS, Vol. 25, Number 3, July 1983

    Google Scholar 

  7. Rödding, D.: Modular Decomposition of Automata (Survey). in: Karpinski, M. (ed.): Proceedings of the 1983 International FCT-Conference, LNCS 158

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  8. Vobl, R.: Komplexitätsuntersuchungen an Basisdarstellungen endlicher Automaten. Diplomarbeit, Inst. f. Math. Logik u. Grundlagenforschung, Münster (1980)

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik-Informatik, Warburger Straße 100, D-4790, Paderborn

    Lutz Priese

  2. Institut für Mathematische Logik und Grundlagenforschung, Einsteinstraße 62, D-4400, Münster

    Anne Brüggemann, Dieter Rödding & Rüdiger Schätz

Authors
  1. Anne Brüggemann
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  2. Lutz Priese
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  3. Dieter Rödding
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  4. Rüdiger Schätz
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Editor information

E. Börger G. Hasenjaeger D. Rödding

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© 1984 Springer-Verlag Berlin Heidelberg

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Brüggemann, A., Priese, L., Rödding, D., Schätz, R. (1984). Modular decomposition of automata. In: Börger, E., Hasenjaeger, G., Rödding, D. (eds) Logic and Machines: Decision Problems and Complexity. LaM 1983. Lecture Notes in Computer Science, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13331-3_42

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  • DOI: https://doi.org/10.1007/3-540-13331-3_42

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13331-5

  • Online ISBN: 978-3-540-38856-2

  • eBook Packages: Springer Book Archive

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