An Interactive Proof of Termination for a Concurrent λ-calculus with References and Explicit Substitutions

02/09/2021

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by   Yann Hamdaoui, et al.

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In this paper we introduce a typed, concurrent λ-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.