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arXiv · 2104.01358

Intersection Types for a Computational Lambda-Calculus with Global State

Ugo de'Liguoro·Riccardo Treglia
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Abstract

We study the semantics of an untyped lambda-calculus equipped with operators representing read and write operations from and to a global store. We adopt the monadic approach to model side-effects and treat read and write as algebraic operations over a monad. We introduce operational and denotational semantics and a type assignment system of intersection types and prove that types are invariant under the reduction and expansion of term and state configurations. Finally, we characterize convergent terms via their typings.

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Ugo de'Liguoro, Riccardo Treglia. 2021-04-03. Intersection Types for a Computational Lambda-Calculus with Global State. https://doi.org/10.46298/fi.10010

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