On Hierarchical Communication Topologies in the π-calculus
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This paper is concerned with the shape invariants satisfied by the communication topology of π-terms, and the automatic inference of these invariants. A π-term P is hierarchical if there is a finite forest T such that the communication topology of every term reachable from P satisfies a T -shaped invariant. We design a static analysis to prove a term hierarchical by means of a novel type system that enjoys decidable inference. The soundness proof of the type system employs a non-standard view of π-calculus reactions. The coverability problem for hierarchical terms is decidable. This is proved by showing that every hierarchical term is depth-bounded, an undecidable property known in the literature. We thus obtain an expressive static fragment of the π-calculus with decidable safety verification problems.
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D'OSUALDO, Emanuele, C.-H. Luke ONG, 2016. On Hierarchical Communication Topologies in the π-calculus. 25th European Symposium on Programming, ESOP 2016. Eindhoven, The Netherlands, 3. Apr. 2016 - 7. Apr. 2016. In: THIEMANN, Peter, Hrsg.. Programming Languages and Systems : 25th European Symposium on Programming, ESOP 2016, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2016, Proceedings. Berlin: Springer, 2016, S. 149-175. Lecture Notes in Computer Science (LNCS). 9632. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-662-49497-4. Verfügbar unter: doi: 10.1007/978-3-662-49498-1_7BibTex
@inproceedings{DOsualdo2016Hiera-71004, year={2016}, doi={10.1007/978-3-662-49498-1_7}, title={On Hierarchical Communication Topologies in the π-calculus}, number={9632}, isbn={978-3-662-49497-4}, issn={0302-9743}, publisher={Springer}, address={Berlin}, series={Lecture Notes in Computer Science (LNCS)}, booktitle={Programming Languages and Systems : 25th European Symposium on Programming, ESOP 2016, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2016, Proceedings}, pages={149--175}, editor={Thiemann, Peter}, author={D'Osualdo, Emanuele and Ong, C.-H. Luke} }
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