License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2022.25
URN: urn:nbn:de:0030-drops-157450
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Jaber, Guilhem ; Sangiorgi, Davide

Games, Mobile Processes, and Functions

LIPIcs-CSL-2022-25.pdf (0.7 MB)


We establish a tight connection between two models of the λ-calculus, namely Milner’s encoding into the π-calculus (precisely, the Internal π-calculus), and operational game semantics (OGS). We first investigate the operational correspondence between the behaviours of the encoding provided by π and OGS.
We do so for various LTSs: the standard LTS for π and a new "concurrent" LTS for OGS; an "output-prioritised" LTS for π and the standard alternating LTS for OGS. We then show that the equivalences induced on λ-terms by all these LTSs (for π and OGS) coincide.
These connections allow us to transfer results and techniques between π and OGS. In particular we import up-to techniques from π onto OGS and we derive congruence and compositionality results for OGS from those of π. The study is illustrated for call-by-value; similar results hold for call-by-name.

BibTeX - Entry

  author =	{Jaber, Guilhem and Sangiorgi, Davide},
  title =	{{Games, Mobile Processes, and Functions}},
  booktitle =	{30th EACSL Annual Conference on Computer Science Logic (CSL 2022)},
  pages =	{25:1--25:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-218-1},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{216},
  editor =	{Manea, Florin and Simpson, Alex},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-157450},
  doi =		{10.4230/LIPIcs.CSL.2022.25},
  annote =	{Keywords: \lambda-calculus, \pi-calculus, game semantics}

Keywords: λ-calculus, π-calculus, game semantics
Collection: 30th EACSL Annual Conference on Computer Science Logic (CSL 2022)
Issue Date: 2022
Date of publication: 27.01.2022

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