Computer Science > Logic in Computer Science
arXiv:1011.6430v1 (cs)
[Submitted on 30 Nov 2010]
Title:A criterion for separating process calculi
Authors:Federico Banti (Dipartimento di Sistemi e Informatica, Università degli Studi di Firenze),Rosario Pugliese (Dipartimento di Sistemi e Informatica, Università degli Studi di Firenze),Francesco Tiezzi (Dipartimento di Sistemi e Informatica, Università degli Studi di Firenze)
View a PDF of the paper titled A criterion for separating process calculi, by Federico Banti (Dipartimento di Sistemi e Informatica and 5 other authors
View PDFAbstract:We introduce a new criterion, replacement freeness, to discern the relative expressiveness of process calculi. Intuitively, a calculus is strongly replacement free if replacing, within an enclosing context, a process that cannot perform any visible action by an arbitrary process never inhibits the capability of the resulting process to perform a visible action. We prove that there exists no compositional and interaction sensitive encoding of a not strongly replacement free calculus into any strongly replacement free one. We then define a weaker version of replacement freeness, by only considering replacement of closed processes, and prove that, if we additionally require the encoding to preserve name independence, it is not even possible to encode a non replacement free calculus into a weakly replacement free one. As a consequence of our encodability results, we get that many calculi equipped with priority are not replacement free and hence are not encodable into mainstream calculi like CCS and pi-calculus, that instead are strongly replacement free. We also prove that variants of pi-calculus with match among names, pattern matching or polyadic synchronization are only weakly replacement free, hence they are separated both from process calculi with priority and from mainstream calculi.
| Comments: | In Proceedings EXPRESS'10,arXiv:1011.6012 |
| Subjects: | Logic in Computer Science (cs.LO); Formal Languages and Automata Theory (cs.FL) |
| ACM classes: | F.1.1; F3.2; F.4.3 |
| Cite as: | arXiv:1011.6430 [cs.LO] |
| (orarXiv:1011.6430v1 [cs.LO] for this version) | |
| https://doi.org/10.48550/arXiv.1011.6430 arXiv-issued DOI via DataCite | |
| Journal reference: | EPTCS 41, 2010, pp. 16-30 |
| Related DOI: | https://doi.org/10.4204/EPTCS.41.2 DOI(s) linking to related resources |
Submission history
From: EPTCS [view email] [via EPTCS proxy][v1] Tue, 30 Nov 2010 01:37:39 UTC (74 KB)
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View a PDF of the paper titled A criterion for separating process calculi, by Federico Banti (Dipartimento di Sistemi e Informatica and 5 other authors
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