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arXiv · 2112.11062

List types for resource aware languages: an implicit name approach

Silvia Ghilezan·Jelena Ivetić·Pierre Lescanne·Simona Kašterović
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Abstract

A novel formalisation of variable control in languages with implicit names based on de Bruijn indices is presented. We design and implement three languages: first, a restricted language with implicit names; then, a restricted calculus with implicit names and explicit substitution, and finally, an extended calculus with implicit names, implicit substitution and resource control. We propose a novel concept of list types, which are used to give a simple and manageable definition of linearity. We develop an implementation in Haskell.

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Silvia Ghilezan, Jelena Ivetić, Pierre Lescanne, Simona Kašterović. 2021-12-21. List types for resource aware languages: an implicit name approach. https://arxiv.org/abs/2112.11062

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