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Petri nets, commutative context-free grammars, and basic parallel processes. (English) Zbl 1508.68241

Reichel, Horst (ed.), Fundamentals of computation theory. 10th international conference, FCT’95, Dresden, Germany, August 22–25, 1995. Proceedings. Berlin: Springer-Verlag. Lect. Notes Comput. Sci. 965, 221-232 (1995).
For the entire collection see [Zbl 0921.00030].

MSC:

68Q85 Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.)
68Q42 Grammars and rewriting systems
Full Text: DOI

References:

[1] S. Christensen. Decidability and Decomposition in Process Algebras. Ph.D. Thesis, University of Edinburgh, CST-105-93, (1993).
[2] S. Christensen, H. Hüttel, and C. Stirling. Bisimulation equivalence is decidable for all context-free processes. Proceedings of CONCUR ’92, LNCS 630, pp. 138-147 (1992). · Zbl 0833.68074
[3] S. Christensen, Y. Hirshfeld and F. Moller. Bisimulation equivalence is decidable for basic parallel processes. CONCUR ’93, LNCS 715, 143-157 (1993).
[4] S. Eilenberg and M.P. Schützenberger. Rational sets in commutative monoids. Journal of Algebra 13, 173-191 (1969). · Zbl 0206.02703
[5] J. Esparza and M. Nielsen. Decidability Issues for Petri Nets—a Survey. EATCS Bulletin 52 (1994). Also: Journal of Information Processing and Cybernetics. · Zbl 0838.68082
[6] S. Ginsburg. The Mathematical Theory of Context-free Languages. McGraw-Hill (1966). · Zbl 0184.28401
[7] S. Ginsburg and E.H. Spanier. Semigroups, Presburger formulas and languages. Pacific Journal of Mathematics 16, pp. 285-296 (1966). · Zbl 0143.01602
[8] Y. Hirshfeld. Petri Nets and the Equivalence Problem. CSL ’93, LNCS 832 pp. 165-174 (1994). · Zbl 0953.68571
[9] Y. Hirshfeld and Faron Moller. Deciding Equivalences in Simple Process Algebras. In: “Modal Logic and Process Algebra: Proceedings of a 3-day Workshop on Bisimulation”, CSLI Press (1995).
[10] Y. Hirshfeld, M. Jerrum and F. Moller. A polynomial algorithm for deciding bisimulation of normed basic parallel processes. LFCS report 94-288, Edinburgh University (1994). To appear in Journal of Mathematical Structures in Computer Science. · Zbl 0857.68042
[11] J.E. Hopcroft and J.D. Ullman. Introduction to Automata Theory, Languages and Computation. Addison-Wesley (1979). · Zbl 0426.68001
[12] D.T. Huynh. Commutative Grammars: The Complexity of Uniform Word Problems. Information and Control 57, 21-39 (1983). · Zbl 0541.68044
[13] P. Jančar. Decidability Questions for Bisimilarity of Petri Nets and Some Related Problems. STACS ’94, LNCS 775, pp. 581-592 (1994). To appear in Theoretical Computer Science. · Zbl 0941.68644
[14] R. Milner. Communication and Concurrency. Prentice-Hall (1989). · Zbl 0683.68008
[15] P.H. Starke. Analyse von Petri-Netz Modellen. Teubner (1990). · Zbl 0724.68002
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