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arXiv · 2109.00311

Termination Analysis for the $π$-Calculus by Reduction to Sequential Program Termination

Tsubasa Shoshi·Takuma Ishikawa·Naoki Kobayashi·Ken Sakayori·Ryosuke Sato·Takeshi Tsukada
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Abstract

We propose an automated method for proving termination of $π$-calculus processes, based on a reduction to termination of sequential programs: we translate a $π$-calculus process to a sequential program, so that the termination of the latter implies that of the former. We can then use an off-the-shelf termination verification tool to check termination of the sequential program. Our approach has been partially inspired by Deng and Sangiorgi's termination analysis for the $π$-calculus, and checks that there is no infinite chain of communications on replicated input channels, by converting such a chain of communications to a chain of recursive function calls in the target sequential program. We have implemented an automated tool based on the proposed method and confirmed its effectiveness.

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Tsubasa Shoshi, Takuma Ishikawa, Naoki Kobayashi, Ken Sakayori, Ryosuke Sato, Takeshi Tsukada. 2021-09-01. Termination Analysis for the $π$-Calculus by Reduction to Sequential Program Termination. https://arxiv.org/abs/2109.00311

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