Abstract
In this note I want to draw attention to partial words, a less known partial order semantics of Petri nets. Partial words have recently proven to be of importance, e.g. in the study of action refinement. An important result of A. Kiehn relates partial words and Petri net processes, and a short proof of this result is given here.
This work was partially supported by the ESPRIT Basic Research Action No. 3148 DEMON (Design Methods Based on Nets).
Preview
Unable to display preview. Download preview PDF.
References
L. Aceto and M. Hennessy. Towards action-refinement in process algebras. In Proc. 4th LICS, pages 138–145. IEEE Computer Society Press, 1989. A full version has appeared as Computer Science Report 3/88, Dept. Comp. Sci. Univ. of Sussex, 1988.
E. Best and R. Devillers. Sequential and concurrent behaviour in Petri net theory. Theoret. Comput. Sci., 55:87–136, 1987.
E. Best, R. Devillers, A. Kiehn, and L. Pomello. Concurrent bisimulations in Petri nets. Acta Informatica, 28:231–264, 1991.
B. Bollobàs. Graph Theory. An Introductory Course. Graduate Texts in Mathematics 63. Springer, 1990.
L. Castellano, G. De Michelis, and L. Pomello. Concurrency vs. interleaving: An instructive example. Bull. EATCS, 31:12–15, 1987.
J.W. de Bakker and J.H.A. Warmerdam. Metric pomset semantics for a concurrent language with recursion. In I. Guessarion, editor, Semantics of Systems of Concurrent Processes, Lect. Notes Comp. Sci. 469, 21–49, 1990.
R. Devillers. Maximality preserving bisimulation. Technical Report LIT-214, Univ. Bruxelles, 1990.
R.J. v. Glabbeek and U. Goltz. Equivalence notions for concurrent systems and refinement of actions. In A. Kreczmar and G. Mirkowska, editors, MFCS 89, Lect. Notes Comp. Sci. 379, 237–248, 1989.
U. Goltz and W. Reisig. The non-sequential behaviour of Petri nets. Information and Control, 57:125–147, 1983.
J. Grabowski. On partial languages. Fundamenta Informaticae, IV. 2:428–498, 1981.
R. Gold and W. Vogler. Quality criteria for partial order semantics of place/transition nets. In B. Rovan, editor, MFCS 90, Lect. Notes Comp. Sci. 452, 306–312, 1990.
J. Hirshfeld, A. Rabinovich, and B.A. Trakhtenbrot. Discerning causality in interleaving behaviour. In A.R. Meyer and M.A. Taitslin, editors, Logic at Botik '89, Lect. Notes Comp. Sci. 363, 146–162, 1989.
A. Kiehn. On the interrelationship between synchronized and non-synchronized behaviour of Petri nets. J. Inf. Process. Cybern. EIK, 24:3–18, 1988.
A. Mazurkiewicz. Trace theory. In W. Brauer et al., editors, Petri Nets: Applications and Relationships to other Models of Concurrency, Lect. Notes Comp. Sci. 255, pages 279–324, 1987.
M. Nielsen, U. Engberg, and K. Larsen. Partial order semantics for concurrency. In J.W. de Bakker et al., editors, Proc. REX School / Workshop Linear Time, Branching Time and Partial Order in Logic and Models of Concurrency. Noordwijkerhout, 1988, Lect. Notes Comp. Sci. 354, 523–548, 1989.
V. Pratt. Modelling concurrency with partial orders. Int. J. Parallel Prog., 15:33–71, 1986.
G. Rozenberg. Behaviour of elementary net-systems. In W. Brauer et al., editors, Petri Nets: Central Models and Their Properties, Lect. Notes Comp. Sci. 254, pages 60–94, 1987.
P.H. Starke. Processes in Petri nets. J. Inf. Process. Cybern. EIK, 17:389–416, 1981.
W. Vogler. Executions: A new partial order semantics of Petri nets. Theoret. Comput. Sci., 91:205–238, 1991.
W. Vogler. Failures semantics based on interval semiwords is a congruence for refinement. Distributed Computing, 4:139–162, 1991.
W. Vogler. Bisimulation and action refinement. In C. Choffrut and M. Jantzen, editors, STACS 91, Lect. Notes Comp. Sci. 480, 309–321, 1991.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Vogler, W. (1992). Partial words versus processes: A short comparison. In: Rozenberg, G. (eds) Advances in Petri Nets 1992. Lecture Notes in Computer Science, vol 609. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55610-9_176
Download citation
DOI: https://doi.org/10.1007/3-540-55610-9_176
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55610-7
Online ISBN: 978-3-540-47258-2
eBook Packages: Springer Book Archive