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arXiv · 2607.20181

A Typing System for the Linear Lambda-Calculus in de Bruijn Notation

Philippe de Groote·Vincent Tourneur
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Abstract

We introduce a typing system that is particularly well suited for typing the linear lambda-calculus in de Bruijn notation. This typing discipline, which is reminiscent of Hodas' and Miller's model of resource consumption, guarantees that any well-typed term is linear without the need for an occurrence check. We then establish the subject reduction property.

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Philippe de Groote, Vincent Tourneur. 2026-07-22. A Typing System for the Linear Lambda-Calculus in de Bruijn Notation. https://doi.org/10.4204/eptcs.449.5

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