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On the Complexity of the Reachability Problem for Safe : Elementary Hornets

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EN
In this paper we study the complexity of HORNETS, an algebraic extension of object nets. We define a restricted class: safe, elementary HORNETS, to guarantee finite state spaces. It will turn out, that the reachability problem for this class requires exponential space, which is a major increase when compared to safe, elementary object nets, which require polynomial space.
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Rocznik
Strony
101--115
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
  • University of Hamburg, Department for Informatics, Vogt-Kölln-Straße 30, D-22527 Hamburg, Germany
Bibliografia
  • [1] Ehrig, H., Mahr, B.: Fundamentals of algebraic Specification, EATCS Monographs on TCS, Springer-Verlag, 1985.
  • [2] Esparza, J.: Decidability and Complexity of Petri Net Problems – An Introduction, Lectures on Petri Nets I: Basic Models, Advances in Petri Nets (W. Reisig, G. Rozenberg, Eds.), 1491, Springer-Verlag, 1998.
  • [3] Hoffmann, K., Ehrig, H., Mossakowski, T.: High-Level Nets with Nets and Rules as Tokens, Application and Theory of Petri Nets and Other Models of Concurrency, 3536, Springer-Verlag, 2005.
  • [4] Köhler, M.: Reachable Markings of Object Petri Nets, Fundamenta Informaticae, 79(3-4), 2007, 401 – 413.
  • [5] Köhler, M., Rölke, H.: Concurrency for Mobile Object-Net Systems, Fundamenta Informaticae, 54(2-3), 2003.
  • [6] Köhler, M., Rölke, H.: Properties of Object Petri Nets, International Conference on Application and Theory of Petri Nets 2004 (J. Cortadella, W. Reisig, Eds.), 3099, Springer-Verlag, 2004.
  • [7] Köhler-Bußmeier, M.: Hornets: Nets within Nets combined with Net Algebra, International Conference on Application and Theory of Petri Nets (ICATPN’2009) (K. Wolf, G. Franceschinis, Eds.), 5606, Springer-Verlag, 2009.
  • [8] Köhler-Bußmeier, M., Heitmann, F.: On the Expressiveness of Communication Channels for Object Nets, Fundamenta Informaticae, 93(1-3), 2009, 205–219.
  • [9] Köhler-Bußmeier, M., Heitmann, F.: Safeness for Object Nets, Fundamenta Informaticae, 101(1-2), 2010, 29–43.
  • [10] Köhler-Bußmeier,M., Heitmann, F.: Liveness of Safe Object Nets, Fundamenta Informaticae, 112(1), 2011, 73–87.
  • [11] Lipton, R. J.: The reachability problem requires exponential space, Research Report 62, Dept. of Computer science, 1976.
  • [12] Lomazova, I.: Nested Petri Nets for Adaptive Process Modeling, in: Pillars of Computer Science (A. Avron, N. Dershowitz, A. Rabinovich, Eds.), vol. 4800 of Lecture Notes in Computer Science, Springer-Verlag, 2008, 460–474.
  • [13] Reisig, W.: Petri nets and algebraic specifications, Theoretical Computer Science, 80, 1991, 1–34.
  • [14] Valk, R.: Modelling Concurrency by Task/Flow EN Systems, 3rd Workshop on Concurrency and Compositionality, number 191 in GMD-Studien, Gesellschaft für Mathematik und Datenverarbeitung, St. Augustin, Bonn, 1991.
  • [15] Valk, R.: Object Petri nets: Using the nets-within-nets paradigm, Advanced Course on Petri Nets 2003 (J. Desel, W. Reisig, G. Rozenberg, Eds.), 3098, Springer-Verlag, 2003.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-af0b937e-7b3b-41eb-a50c-d6d7316c3e3d
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