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DOI: 10.4230/LIPIcs.FSCD.2021.3

Process-As-Formula Interpretation: A Substructural Multimodal View (Invited Talk)

Authors: Elaine Pimentel, Carlos Olarte, and Vivek Nigam

Published in: LIPIcs, Volume 195, 6th International Conference on Formal Structures for Computation and Deduction (FSCD 2021)

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.

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Elaine Pimentel, Carlos Olarte, and Vivek Nigam. Process-As-Formula Interpretation: A Substructural Multimodal View (Invited Talk). In 6th International Conference on Formal Structures for Computation and Deduction (FSCD 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 195, pp. 3:1-3:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@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-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2021.3},
  URN =		{urn:nbn:de:0030-drops-142414},
  doi =		{10.4230/LIPIcs.FSCD.2021.3},
  annote =	{Keywords: Linear logic, proof theory, process calculi}
}

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Process-As-Formula Interpretation: A Substructural Multimodal View (Invited Talk)

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