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.TYPES.2021.11
URN: urn:nbn:de:0030-drops-167808
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/16780/
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Paulus, Joseph W. N. ; Nantes-Sobrinho, Daniele ; Pérez, Jorge A.

Types and Terms Translated: Unrestricted Resources in Encoding Functions as Processes

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Abstract

Type-preserving translations are effective rigorous tools in the study of core programming calculi. In this paper, we develop a new typed translation that connects sequential and concurrent calculi; it is governed by type systems that control resource consumption. Our main contribution is the source language, a new resource λ-calculus with non-collapsing non-determinism and failures, dubbed uλ^{↯}_{⊕}. In uλ^{↯}_{⊕}, resources are split into linear and unrestricted; failures are explicit and arise from this distinction. We define a type system based on intersection types to control resources and fail-prone computation. The target language is ?π, an existing session-typed π-calculus that results from a Curry-Howard correspondence between linear logic and session types. Our typed translation subsumes our prior work; interestingly, it treats unrestricted resources in uλ^{↯}_{⊕} as client-server session behaviours in ?π.

BibTeX - Entry

@InProceedings{paulus_et_al:LIPIcs.TYPES.2021.11,
  author =	{Paulus, Joseph W. N. and Nantes-Sobrinho, Daniele and P\'{e}rez, Jorge A.},
  title =	{{Types and Terms Translated: Unrestricted Resources in Encoding Functions as Processes}},
  booktitle =	{27th International Conference on Types for Proofs and Programs (TYPES 2021)},
  pages =	{11:1--11:24},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-254-9},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{239},
  editor =	{Basold, Henning and Cockx, Jesper and Ghilezan, Silvia},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/16780},
  URN =		{urn:nbn:de:0030-drops-167808},
  doi =		{10.4230/LIPIcs.TYPES.2021.11},
  annote =	{Keywords: Resource \lambda-calculus, intersection types, session types, process calculi}
}

Keywords: Resource λ-calculus, intersection types, session types, process calculi
Collection: 27th International Conference on Types for Proofs and Programs (TYPES 2021)
Issue Date: 2022
Date of publication: 04.08.2022

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