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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| Vydané v: | arXiv.org |
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| Hlavní autori: | , , |
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| Jazyk: | English |
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19.05.2021
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| ISSN: | 2331-8422 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Díaz-Caro, Alejandro Martínez López, Pablo E Sottile, Cristian F |
| Author_xml | – sequence: 1 givenname: Cristian surname: Sottile middlename: F fullname: Sottile, Cristian F – sequence: 2 givenname: Alejandro surname: Díaz-Caro fullname: Díaz-Caro, Alejandro – sequence: 3 givenname: Pablo surname: Martínez López middlename: E fullname: Martínez López, Pablo E |
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| Copyright | 2021. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| DOI | 10.48550/arxiv.2101.03215 |
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