Abstract
Free choice nets are a class of Petri nets allowing to model concurrency and nondeterministic choice, but with the restriction that choices cannot be influenced externally. Home states are ground states which lead to a strongly connected state graph, that is, a home state can be reached from any of its successor states. The main result of this paper characterises the home states of a structurally live and bounded free choice system compositionally by recourse to its decomposition into T-components.
Work done partly within the Esprit Basic Research Action No.3148 D→E→M→O→N — Design Methods Based on Nets and within SFB 342 WG A3: SEMAFOR
Preview
Unable to display preview. Download preview PDF.
References
E. Best and J. Desel: Partial Order Behaviour and Structure of Petri Nets. Formal Aspects of Computing Vol.2 No.2, 123–138 (1990).
E. Best, L. Cherkasova, J. Desel and J. Esparza: Characterisation of Home States in Free Choice Systems. Hildesheimer Informatik-Berichte Nr. 9/90 (September 1990).
E. Best, J. Desel and J. Esparza: Traps Characterise Home States in Free Choice Systems. Submitted Paper (June 1990).
F. Commoner, A.W. Holt, S. Even and A. Pnueli: Marked Directed Graphs. Journal of Computer and System Science Vol.5, 511–523 (1971).
J. Desel and J. Esparza: Reachability in Reversible Free Choice Systems. Proceedings of STACS'91, Lecture Notes in Computer Science, Springer Verlag (1991).
H.J. Genrich and K. Lautenbach: Synchronisationsgraphen. Acta Informatica Vol.2, 143–161 (1973).
M. Hack: Analysis of Production Schemata by Petri Nets. TR-94, MIT-MAC (1972). Corrections (1974).
W. Reisig: Petri Nets — an Introduction. EATCS Monographs on Theoretical Computer Science, Vol. 4, Springer Verlag (1985).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Best, E., Cherkasova, L., Desel, J. (1991). Compositional generation of home states in free choice systems. In: Choffrut, C., Jantzen, M. (eds) STACS 91. STACS 1991. Lecture Notes in Computer Science, vol 480. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020815
Download citation
DOI: https://doi.org/10.1007/BFb0020815
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53709-0
Online ISBN: 978-3-540-47002-1
eBook Packages: Springer Book Archive