Polymorphic System I

System I is a simply-typed lambda calculus with pairs, extended with an equational theory obtained from considering the type isomorphisms as equalities. In this work we propose an extension of System I to polymorphic types, adding the corresponding isomorphisms. We provide non-standard proofs of sub...

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Bibliographic Details
Published in:	arXiv.org
Main Authors:	Sottile, Cristian F, Díaz-Caro, Alejandro, Martínez López, Pablo E
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 19.05.2021
Subjects:	Isomorphism
ISSN:	2331-8422
Online Access:	Get full text
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Summary:	System I is a simply-typed lambda calculus with pairs, extended with an equational theory obtained from considering the type isomorphisms as equalities. In this work we propose an extension of System I to polymorphic types, adding the corresponding isomorphisms. We provide non-standard proofs of subject reduction and strong normalisation, extending those of System I.
Bibliography:	SourceType-Working Papers-1 ObjectType-Working Paper/Pre-Print-1 content type line 50
ISSN:	2331-8422
DOI:	10.48550/arxiv.2101.03215