Factorization in Call-by-Name and Call-by-Value Calculi via Linear Logic

In each variant of the [Formula: see text] -calculus, factorization and normalization are two key properties that show how results are computed. Instead of proving factorization/normalization for the call-by-name (CbN) and call-by-value (CbV) variants separately, we prove them only once, for the ban...

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Autores principales: Faggian, Claudia, Guerrieri, Giulio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7984102/
http://dx.doi.org/10.1007/978-3-030-71995-1_11
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author Faggian, Claudia
Guerrieri, Giulio
author_facet Faggian, Claudia
Guerrieri, Giulio
author_sort Faggian, Claudia
collection PubMed
description In each variant of the [Formula: see text] -calculus, factorization and normalization are two key properties that show how results are computed. Instead of proving factorization/normalization for the call-by-name (CbN) and call-by-value (CbV) variants separately, we prove them only once, for the bang calculus (an extension of the [Formula: see text] -calculus inspired by linear logic and subsuming CbN and CbV), and then we transfer the result via translations, obtaining factorization/normalization for CbN and CbV. The approach is robust: it still holds when extending the calculi with operators and extra rules to model some additional computational features.
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spelling pubmed-79841022021-03-23 Factorization in Call-by-Name and Call-by-Value Calculi via Linear Logic Faggian, Claudia Guerrieri, Giulio Foundations of Software Science and Computation Structures Article In each variant of the [Formula: see text] -calculus, factorization and normalization are two key properties that show how results are computed. Instead of proving factorization/normalization for the call-by-name (CbN) and call-by-value (CbV) variants separately, we prove them only once, for the bang calculus (an extension of the [Formula: see text] -calculus inspired by linear logic and subsuming CbN and CbV), and then we transfer the result via translations, obtaining factorization/normalization for CbN and CbV. The approach is robust: it still holds when extending the calculi with operators and extra rules to model some additional computational features. 2021-03-23 /pmc/articles/PMC7984102/ http://dx.doi.org/10.1007/978-3-030-71995-1_11 Text en © The Author(s) 2021 Open Access This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this chapter are included in the chapter's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
spellingShingle Article
Faggian, Claudia
Guerrieri, Giulio
Factorization in Call-by-Name and Call-by-Value Calculi via Linear Logic
title Factorization in Call-by-Name and Call-by-Value Calculi via Linear Logic
title_full Factorization in Call-by-Name and Call-by-Value Calculi via Linear Logic
title_fullStr Factorization in Call-by-Name and Call-by-Value Calculi via Linear Logic
title_full_unstemmed Factorization in Call-by-Name and Call-by-Value Calculi via Linear Logic
title_short Factorization in Call-by-Name and Call-by-Value Calculi via Linear Logic
title_sort factorization in call-by-name and call-by-value calculi via linear logic
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7984102/
http://dx.doi.org/10.1007/978-3-030-71995-1_11
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