Broadcast calculus interpreted in CCS upto bisimulation.

*(English)*Zbl 1260.68276
Aceto, Luca (ed.) et al., EXPRESS’01. Proceedings of the 8th international workshop on expressiveness in concurrency, a satellite workshop of CONCUR 2001, Aalborg, Denmark, August 20, 2001. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 52, No. 1, 83-100 (2002).

Summary: A function \(M\) is given that takes any process \(p\) in the calculus of broadcasting systems CBS and returns a CCS process \(M(p)\) with special actions \(\{\mathsf{hear}?\), \(\mathsf{heard}!\), \(\mathsf{say}?\), \(\mathsf{said}!\}\) such that a broadcast of \(\omega\) by \(p\) is matched by the sequence \(\mathsf{say}?\) \(\tau^{*}\) \(\mathsf{said}(\omega)\) by \(M(p)\) and a reception of \(\upsilon\) by \(\mathsf{hear}(v)?\) \(\tau^{*}\) \(\mathsf{heard}!\). It is shown that \(p \sim M(p)\), where \(\sim\) is a bisimulation equivalence using the above matches, and that \(M(p)\) has no CCS behaviour not covered by \(\sim\). Thus the abstraction of a globally synchronising broadcast can be implemented by sequences of local synchronisations. The criteria of correctness are unusual, and arguably stronger than requiring equivalences to be preserved – the latter does not guarantee that meaning is preserved. Since \(\sim\) is not a native CCS equivalence, it is a matter of dicussion what the result says about U. Holmer’s [Lect. Notes Comput. Sci. 715, 188–201 (1993)] conjecture, partially proved by C. Ene and T. Muntean [Lect. Notes Comput. Sci. 1684, 258–268 (1999; Zbl 0946.68096)], that CCS cannot interpret CBS upto preservation of equivalence.

For the entire collection see [Zbl 1260.68008].

For the entire collection see [Zbl 1260.68008].

##### MSC:

68Q85 | Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.) |

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\textit{K. V. S. Prasad}, Electron. Notes Theor. Comput. Sci. 52, No. 1, 83--100 (2002; Zbl 1260.68276)

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