An Interactive Proof of Termination for a Concurrent $\lambda$-calculus with References and Explicit Substitutions

Yann Hamdaoui; Benoît Valiron

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arXiv · 2102.05161

An Interactive Proof of Termination for a Concurrent $\lambda$-calculus with References and Explicit Substitutions

Yann Hamdaoui·Benoît Valiron

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Abstract

In this paper we introduce a typed, concurrent $\lambda$-calculus with references featuring explicit substitutions for variables and references. Alongside usual safety properties, we recover strong normalization. The proof is based on a reducibility technique and an original interactive property reminiscent of the Game Semantics approach.

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Yann Hamdaoui, Benoît Valiron. 2021-02-09. An Interactive Proof of Termination for a Concurrent $\lambda$-calculus with References and Explicit Substitutions. https://arxiv.org/abs/2102.05161

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