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arXiv · 2201.11221

A linear linear lambda-calculus

Alejandro Díaz-Caro·Gilles Dowek
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Abstract

We present a linearity theorem for a proof language of intuitionistic multiplicative additive linear logic, incorporating addition and scalar multiplication. The proofs in this language are linear in the algebraic sense. This work is part of a broader research program aiming to define a logic with a proof language that forms a quantum programming language.

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Alejandro Díaz-Caro, Gilles Dowek. 2024-04-09. A linear linear lambda-calculus. https://doi.org/10.1017/s0960129524000197

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