论文标题

线性线性lambda-calculus

A linear linear lambda-calculus

论文作者

Díaz-Caro, Alejandro, Dowek, Gilles

论文摘要

我们为直觉乘法添加性线性逻辑的证明语言提供了线性定理,并结合了添加和标量乘法。从代数意义上讲,这种语言的证据是线性的。这项工作是更广泛的研究计划的一部分,旨在用形成量子编程语言的证明语言来定义逻辑。

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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