(Enter summary)
Abstract: It is shown that the problem whether two labelled place/transition Petri nets (with
initial markings) are weakly bisimilar is highly undecidable { it resides at least at level
! of the hyperarithmetical hierarchy; on the other hand it belongs to
1
1 (the rst level
of the analytical hierarchy). It contrasts with
0
1 -completeness of the same problem
for trace (language) equivalence. Relations to similar problems for the process algebra
BPP (Basic Parallel Processes) are also discussed.
... (Update)
Context of citations to this paper: More
.... Petri nets, we easily get 0 1 completeness of this problem (the problem whether two Petri nets are non bisimilar is 0 1 complete) [18] shows that the problem for weak bisimilarity is much more complicated from this point of view it is beyond the arithmetical...
...de nitions and claims the results. The relevant proofs are given in Section 3. A preliminary version of the paper appeared as the report [13]. The report is self contained since it includes an appendix describing a needed construction of [12] Here we only refer to [12]...
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High undecidability of weak bisimilarity for Petri nets - Jancar (1994)
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Undecidability of Bisimilarity for Petri Nets and Some Related.. - Jancar (1995)
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BibTeX entry: (Update)
P. Jancar, High undecidability of weak bisimilarity for Petri nets, Techn. rep. ECS-LFCS-94-298, Univ. of Edinburgh, UK, August 1994 (to appear in Proc. TAPSOFT/CAAP '95, Lecture Notes in Computer Science). http://citeseer.ist.psu.edu/jancar94high.html More
@inproceedings{ jancar95high,
author = "Petr Jancar",
title = "High Undecidability of Weak Bisimilarity for Petri Nets",
booktitle = "{TAPSOFT}",
pages = "349-363",
year = "1995",
url = "citeseer.ist.psu.edu/jancar94high.html" }
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Communication and Concurrency (context) - Milner - 1989
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Petri Net Theory and the Modelling of Systems (context) - Peterson - 1981
103
An algorithm for the general Petri net reachability problem (context) - Mayr - 1984
102
Bisimulation equivalence is decidable for all context-free p..
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51
Handbook of Mathematical Logic (context) - Barwise - 1989
39
A polynomial algorithm for deciding bisimilarity of normed c..
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Petri nets and the equivalence problem (context) - Hirshfeld - 1994
23
the reachability problem for 5-dimensional vector addition s.. (context) - Hopcroft, Pansiot - 1979
21
branching time spectrum (context) - van Glabbeek, time - 1990
20
Bisimulation equivalence is decidable for all Basic Parallel.. (context) - Christensen, Hirshfeld et al. - 1993
18
A polynomial-time algorithm for deciding bisimulation equiva..
- Hirshfeld, Jerrum et al. - 1994
13
Computation: Finite and Innite Machines (context) - Minsky - 1967
9
the decidability of non-interleaving process equivalences
- Kiehn, Hennessy - 1994
7
Decision problems for Petri nets and vector addition systems (context) - Hack - 1975
7
the uniform word problem for commutative context-free gramma.. (context) - Esparza
5
Decidability questions for bisimilarity of Petri nets and so.. (context) - Jan - 1994
4
Undecidable equivalences for Basic Parallel processes (context) - uttel - 1993
3
High undecidability of weak bisimilarity for Petri nets
- Jan - 1994
2
Lecture notes to the Summerschool in logical methods in conc.. (context) - Stirling, temporal et al. - 1993
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On Monotonic Automata with a Restart Operation - Jancar, Mraz, Platek, Vogel (1999)
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