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.

中文翻译：

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多态系统I

系统I是具有对的简单类型的Lambda演算，其扩展为通过将类型同构视为等式而获得的方程式理论。在这项工作中，我们建议将系统I扩展为多态类型，并添加相应的同构。我们提供主题缩减和强大归一化的非标准证明，扩展了系统I的证明。