Publication details
Some Remarks on Weak Bisimilarity of BPA
-Processes
| Basic information | |
|---|---|
| Original title: | Some Remarks on Weak Bisimilarity of BPA -Processes |
| Authors: | Ivana Černá, Jitka Stříbrná |
| Further information | |
|---|---|
| Citation: | ČERNÁ, Ivana and Jitka STŘÍBRNÁ. Some Remarks on Weak
Bisimilarity of BPA -Processes. Brno: FI MU Brno, 2000. 26 pp.
FIMU -RS -2000 -09.Export BibTeX |
| Original language: | English |
| Field: | Information theory |
| WWW: | http://www.fi.muni.cz/informatics/reports/ |
| Type: | Monograph |
The purpose of this work is to examine the decidability problem of weak bisimilarity for BPA-processes. It has been known that strong bisimilarity, which may be considered a special case of weak bisimilarity, where the internal (silent) action tau is treated equally to observable actions, is decidable for BPA-processes. For strong bisimilarity, these processes are finitely branching and so for two non-bisimilar processes there exists a level n that distinguishes the two processes. Additionally, from the decidability of whether two processes are equivalent at a given level n, semidecidability of strong non-bisimilarity directly follows. We examine the following two closely related approaches to semidecidability of strong equivalence: 1.construction of a (finite) bisimulation or expansion tree, 2.construction of a finite Caucal base. We have attempted to find out if any of the above mentioned approaches could be generalized to (semi)decide weak bisimilarity. Our findings indicate that a direct generalization is not sufficient and an efficient (semi)decision procedure cannot be obtained in this way.
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