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A short proof of the decidability of bisimulation for normed BPA- processes. (English) Zbl 0779.68029
Summary: The decidability of bisimulation for normed processes was first proven by J. C. M. Baeten, J. A. Bergstra and J. W. Klop [Lect. Notes Comput. Sci. 259, 94-111 (1987; Zbl 0635.68014)] and subsequently, using other proof techniques, by D. Caucal [RAIRO, Inf. Theor. Appl. 24, No. 4, 339-352 (1990; Zbl 0701.68082)] and H. Hüttel and C. Stirling [Actions speak louder than works: Proving bisimilarity for context-free processes, in: Proc. 6th Ann. Symp. on Logic in Computer Science, Amsterdam, The Netherlands (IEEE Computer Society Press, Silver Spring, MD), 376-386 (1991)]. We provide a short and straightforward proof.

MSC:
68Q10 Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.)
68Q55 Semantics in the theory of computing
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[1] Baeten, J.C.M.; Bergstra, J.A.; Klop, J.W., Decidability of bisimulation equivalence for processes generating context-free languages, (), 94-113, Eindhoven, Lecture Notes in Computer Science · Zbl 0635.68014
[2] Caucal, D., Graphes canoniques de graphes algébriques, Theoret. inform. and appl., 24, 4, 339-352, (1990) · Zbl 0701.68082
[3] Hüttel, H.; Stirling, C., Actions speak louder than words: proving bisimilarity for context-free processes, (), 376-386, Amsterdam, The Netherlands · Zbl 0904.68129
[4] Huynh, D.T.; Tian, L., Deciding bisimilarity of normed context-free processes is in ∑^{p}2, () · Zbl 0801.68058
[5] Park, D.M.R., Concurrency and automata on infinite sequences, (), 167-183, Lecture Notes in Computer Science
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