Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)when quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2021.24
URN: urn:nbn:de:0030-drops-134586
URL: https://drops.dagstuhl.de/opus/volltexte/2021/13458/
Guerrieri, Giulio ; Heijltjes, Willem B. ; Paulus, Joseph W.N.
A Deep Quantitative Type System
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Abstract
We investigate intersection types and resource lambda-calculus in deep-inference proof theory. We give a unified type system that is parametric in various aspects: it encompasses resource calculi, intersection-typed lambda-calculus, and simply-typed lambda-calculus; it accommodates both idempotence and non-idempotence; it characterizes strong and weak normalization; and it does so while allowing a range of algebraic laws to determine reduction behaviour, for various quantitative effects. We give a parametric resource calculus with explicit sharing, the "collection calculus", as a Curry-Howard interpretation of the type system, that embodies these computational properties.
BibTeX - Entry
@InProceedings{guerrieri_et_al:LIPIcs:2021:13458,
author = {Giulio Guerrieri and Willem B. Heijltjes and Joseph W.N. Paulus},
title = {{A Deep Quantitative Type System}},
booktitle = {29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
pages = {24:1--24:24},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-175-7},
ISSN = {1868-8969},
year = {2021},
volume = {183},
editor = {Christel Baier and Jean Goubault-Larrecq},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2021/13458},
URN = {urn:nbn:de:0030-drops-134586},
doi = {10.4230/LIPIcs.CSL.2021.24},
annote = {Keywords: Lambda-calculus, Deep inference, Intersection types, Resource calculus}
}
| Keywords: | Lambda-calculus, Deep inference, Intersection types, Resource calculus | |
| Seminar: | 29th EACSL Annual Conference on Computer Science Logic (CSL 2021) | |
| Issue date: | 2021 | |
| Date of publication: | 13.01.2021 |
