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arXiv · 2605.29393

Unifying Semantic Path Order and Weighted Path Order

Teppei Saito·Nao Hirokawa
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Abstract

Monotonic semantic path orders and weighted path orders are powerful reduction orders for proving termination of term rewrite systems. In this paper we present their simple unification as reduction orders and reduction pairs. We also discuss the use of it as ground total reduction orders.

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Teppei Saito, Nao Hirokawa. 2026-05-28. Unifying Semantic Path Order and Weighted Path Order. https://arxiv.org/abs/2605.29393

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