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On Hierarchical Communication Topologies in the π-calculus

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2016

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Ong, C.-H. Luke

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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_7

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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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Normal Form, Type System, Base Type, Typing Rule, Type Inference

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25th European Symposium on Programming, ESOP 2016, 3. Apr. 2016 - 7. Apr. 2016, Eindhoven, The Netherlands
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ISO 690D'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_7
BibTex
@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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