Observed communication semantics for classical processes

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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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 languageEnglish
Title of host publicationProgramming Languages and Systems
Subtitle of host publication26th 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
EditorsHongseok Yang
Place of PublicationCham, Switzerland
Number of pages27
Publication statusE-pub ahead of print - 19 Mar 2017
Event26th European Symposium on Programming - Uppsala Concert & Congress Hall, Uppsala, Sweden
Duration: 22 Apr 201730 Apr 2017

Publication series

NameLecture Notes in Computer Science
ISSN (Print)0302-9743


Conference26th European Symposium on Programming
Abbreviated titleESOP 2017


  • classical linear logic
  • communicating processes
  • semantics
  • cut-elimination rules


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