Formalized Proofs of the Infinity and Normal Form Predicates in the First-Order Theory of Rewriting

Author:

Lochmann AlexanderORCID,Middeldorp AartORCID

Abstract

AbstractWe present a formalized proof of the regularity of the infinity predicate on ground terms. This predicate plays an important role in the first-order theory of rewriting because it allows to express the termination property. The paper also contains a formalized proof of a direct tree automaton construction of the normal form predicate, due to Comon.

Publisher

Springer International Publishing

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. First-Order Theory of Rewriting for Linear Variable-Separated Rewrite Systems: Automation, Formalization, Certification;Journal of Automated Reasoning;2023-04-06

2. A verified decision procedure for the first-order theory of rewriting for linear variable-separated rewrite systems;Proceedings of the 10th ACM SIGPLAN International Conference on Certified Programs and Proofs;2021-01-17

3. Certifying Proofs in the First-Order Theory of Rewriting;Tools and Algorithms for the Construction and Analysis of Systems;2021

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