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.2022.26
URN: urn:nbn:de:0030-drops-157468
Go to the corresponding LIPIcs Volume Portal

Jacobé de Naurois, Paulin

Parallelism in Soft Linear Logic

LIPIcs-CSL-2022-26.pdf (0.7 MB)


We extend the Soft Linear Logic of Lafont with a new kind of modality, called parallel. Contractions on parallel modalities are only allowed in the cut and the left ⊸ rules, in a controlled, uniformly distributive way. We show that SLL, extended with this parallel modality, is sound and complete for PSPACE. We propose a corresponding typing discipline for the λ-calculus, extending the STA typing system of Gaboardi and Ronchi, and establish its PSPACE soundness and completeness. The use of the parallel modality in the cut-rule drives a polynomial-time, parallel call-by-value evaluation strategy of the terms.

BibTeX - Entry

  author =	{Jacob\'{e} de Naurois, Paulin},
  title =	{{Parallelism in Soft Linear Logic}},
  booktitle =	{30th EACSL Annual Conference on Computer Science Logic (CSL 2022)},
  pages =	{26:1--26:16},
  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-157468},
  doi =		{10.4230/LIPIcs.CSL.2022.26},
  annote =	{Keywords: Implicit Complexity, Typing, Linear Logic, Functional Programming}

Keywords: Implicit Complexity, Typing, Linear Logic, Functional Programming
Collection: 30th EACSL Annual Conference on Computer Science Logic (CSL 2022)
Issue Date: 2022
Date of publication: 27.01.2022

DROPS-Home | Fulltext Search | Imprint | Privacy Published by LZI