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DOI: 10.4230/LIPIcs.FSCD.2021.3
URN: urn:nbn:de:0030-drops-142414
URL: https://drops.dagstuhl.de/opus/volltexte/2021/14241/
Pimentel, Elaine ; Olarte, Carlos ; Nigam, Vivek
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 |
