Observed communication semantics for classical processes

Robert Atkey

doi:10.1007/978-3-662-54434-1_3

Observed communication semantics for classical processes

Robert Atkey

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

16 Citations (Scopus)

72 Downloads (Pure)

Abstract

Classical Linear Logic (CLL) has long inspired readings of its proofs as communicating processes. Wadler's CP calculus is one of these readings. Wadler gave CP an operational semantics by selecting a subset of the cut-elimination rules of CLL to use as reduction rules. This semantics has an appealing close connection to the logic, but does not resolve the status of the other cut-elimination rules, and does not admit an obvious notion of observational equivalence. We propose a new operational semantics for CP based on the idea of observing communication, and use this semantics to define an intuitively reasonable notion of observational equivalence. To reason about observational equivalence, we use the standard relational denotational semantics of CLL. We show that this denotational semantics is adequate for our operational semantics. This allows us to deduce that, for instance, all the cut-elimination rules of CLL are observational equivalences.

Original language	English
Title of host publication	Programming Languages and Systems
Subtitle of host publication	26th European Symposium on Programming, ESOP 2017, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2017, Uppsala, Sweden, April 22–29, 2017, Proceedings
Editors	Hongseok Yang
Place of Publication	Cham, Switzerland
Publisher	Springer
Pages	56-82
Number of pages	27
DOIs	https://doi.org/10.1007/978-3-662-54434-1_3
Publication status	E-pub ahead of print - 19 Mar 2017
Event	26th European Symposium on Programming - Uppsala Concert & Congress Hall, Uppsala, Sweden Duration: 22 Apr 2017 → 30 Apr 2017

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer
Volume	10201
ISSN (Print)	0302-9743

Conference

Conference	26th European Symposium on Programming
Abbreviated title	ESOP 2017
Country/Territory	Sweden
City	Uppsala
Period	22/04/17 → 30/04/17

Keywords

classical linear logic
communicating processes
semantics
cut-elimination rules

Access to Document

10.1007/978-3-662-54434-1_3

Atkey-ESOP2017-Observed-communication-semantics-for-classical-processesAccepted author manuscript, 426 KB

Cite this

Atkey, R. (2017). Observed communication semantics for classical processes. In H. Yang (Ed.), Programming Languages and Systems: 26th European Symposium on Programming, ESOP 2017, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2017, Uppsala, Sweden, April 22–29, 2017, Proceedings (pp. 56-82). (Lecture Notes in Computer Science; Vol. 10201). Springer. Advance online publication. https://doi.org/10.1007/978-3-662-54434-1_3

Atkey, Robert. / Observed communication semantics for classical processes. Programming Languages and Systems: 26th European Symposium on Programming, ESOP 2017, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2017, Uppsala, Sweden, April 22–29, 2017, Proceedings. editor / Hongseok Yang. Cham, Switzerland : Springer, 2017. pp. 56-82 (Lecture Notes in Computer Science).

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Atkey, R 2017, Observed communication semantics for classical processes. in H Yang (ed.), Programming Languages and Systems: 26th European Symposium on Programming, ESOP 2017, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2017, Uppsala, Sweden, April 22–29, 2017, Proceedings. Lecture Notes in Computer Science, vol. 10201, Springer, Cham, Switzerland, pp. 56-82, 26th European Symposium on Programming, Uppsala, Sweden, 22/04/17. https://doi.org/10.1007/978-3-662-54434-1_3

Observed communication semantics for classical processes. / Atkey, Robert.
Programming Languages and Systems: 26th European Symposium on Programming, ESOP 2017, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2017, Uppsala, Sweden, April 22–29, 2017, Proceedings. ed. / Hongseok Yang. Cham, Switzerland: Springer, 2017. p. 56-82 (Lecture Notes in Computer Science; Vol. 10201).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

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Atkey R. Observed communication semantics for classical processes. In Yang H, editor, Programming Languages and Systems: 26th European Symposium on Programming, ESOP 2017, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2017, Uppsala, Sweden, April 22–29, 2017, Proceedings. Cham, Switzerland: Springer. 2017. p. 56-82. (Lecture Notes in Computer Science). Epub 2017 Mar 19. doi: 10.1007/978-3-662-54434-1_3

Observed communication semantics for classical processes

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