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arXiv · 2406.19379

Higher-Order Constrained Dependency Pairs for (Universal) Computability

Liye Guo·Kasper Hagens·Cynthia Kop·Deivid Vale
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Abstract

Dependency pairs constitute a series of very effective techniques for the termination analysis of term rewriting systems. In this paper, we adapt the static dependency pair framework to logically constrained simply-typed term rewriting systems (LCSTRSs), a higher-order formalism with logical constraints built in. We also propose the concept of universal computability, which enables a form of open-world termination analysis through the use of static dependency pairs.

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Liye Guo, Kasper Hagens, Cynthia Kop, Deivid Vale. 2024-06-27. Higher-Order Constrained Dependency Pairs for (Universal) Computability. https://arxiv.org/abs/2406.19379

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