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arXiv · 2307.13519

Higher-Order LCTRSs and Their Termination

Liye Guo·Cynthia Kop
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Abstract

Logically constrained term rewriting systems (LCTRSs) are a program analyzing formalism with native support for data types which are not (co)inductively defined. As a first-order formalism, LCTRSs have accommodated only analysis of imperative programs so far. In this paper, we present a higher-order variant of the LCTRS formalism, which can be used to analyze functional programs. Then we study the termination problem and define a higher-order recursive path ordering (HORPO) for this new formalism.

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Liye Guo, Cynthia Kop. 2023-07-25. Higher-Order LCTRSs and Their Termination. https://arxiv.org/abs/2307.13519

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