Bisimulations for probabilistic linear lambda calculi

Yuxin Deng, Yuan Feng

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

We investigate a notion of probabilistic program equivalence under linear contexts. We show that both a statebased and a distribution-based bisimilarity are sound coinductive proof techniques for reasoning about higher-order probabilistic programs, but only the distribution-based one is complete for linear contextual equivalence. The completeness proof is novel and directly constructs linear contexts from transitions, rather than the traditional approach of characterizing bisimilarities as testing equivalences.

Original languageEnglish
Title of host publicationProceedings - 11th International Symposium on Theoretical Aspects of Software Engineering, TASE 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1-8
Number of pages8
ISBN (Electronic)9781538619247
DOIs
StatePublished - 2 Jul 2017
Event11th International Symposium on Theoretical Aspects of Software Engineering, TASE 2017 - Sophia Antipolis, France
Duration: 13 Sep 201715 Sep 2017

Publication series

NameProceedings - 11th International Symposium on Theoretical Aspects of Software Engineering, TASE 2017
Volume2018-January

Conference

Conference11th International Symposium on Theoretical Aspects of Software Engineering, TASE 2017
Country/TerritoryFrance
CitySophia Antipolis
Period13/09/1715/09/17

Keywords

  • Bisimulation
  • Contextual equivalence
  • Full abstraction
  • Probabilistic lambda calculi

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