Interpreting a concurrent $\lambda$-calculus in differential proof nets (extended version)

Yann Hamdaoui

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arXiv · 2102.05736

Interpreting a concurrent $\lambda$-calculus in differential proof nets (extended version)

Yann Hamdaoui

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Abstract

In this paper, we show how to interpret a language featuring concurrency, references and replication into proof nets, which correspond to a fragment of differential linear logic. We prove a simulation and adequacy theorem. A key element in our translation are routing areas, a family of nets used to implement communication primitives which we define and study in detail.

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Yann Hamdaoui. 2021-02-10. Interpreting a concurrent $\lambda$-calculus in differential proof nets (extended version). https://arxiv.org/abs/2102.05736

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