Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Pimentel, Elaine; Olarte, Carlos; Nigam, Vivek https://www.dagstuhl.de/lipics License: Creative Commons Attribution 4.0 license (CC BY 4.0)
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URN: urn:nbn:de:0030-drops-142414
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Process-As-Formula Interpretation: A Substructural Multimodal View (Invited Talk)

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Abstract

In this survey, we show how the processes-as-formulas interpretation, where computations and proof-search are strongly connected, can be used to specify different concurrent behaviors as logical theories. The proposed interpretation is parametric and modular, and it faithfully captures behaviors such as: Linear and spatial computations, epistemic state of agents, and preferences in concurrent systems. The key for this modularity is the incorporation of multimodalities in a resource aware logic, together with the ability of quantifying on such modalities. We achieve tight adequacy theorems by relying on a focusing discipline that allows for controlling the proof search process.

BibTeX - Entry

@InProceedings{pimentel_et_al:LIPIcs.FSCD.2021.3,
  author =	{Pimentel, Elaine and Olarte, Carlos and Nigam, Vivek},
  title =	{{Process-As-Formula Interpretation: A Substructural Multimodal View}},
  booktitle =	{6th International Conference on Formal Structures for Computation and Deduction (FSCD 2021)},
  pages =	{3:1--3:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-191-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{195},
  editor =	{Kobayashi, Naoki},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/14241},
  URN =		{urn:nbn:de:0030-drops-142414},
  doi =		{10.4230/LIPIcs.FSCD.2021.3},
  annote =	{Keywords: Linear logic, proof theory, process calculi}
}

Keywords: Linear logic, proof theory, process calculi
Seminar: 6th International Conference on Formal Structures for Computation and Deduction (FSCD 2021)
Issue date: 2021
Date of publication: 06.07.2021


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