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arXiv · 2507.19717

Self-Verifying Predicates in Büchi Arithmetic

Mazen Khodier·Luke Schaeffer·Jeffrey Shallit
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Abstract

We discuss a technique, based on Angluin's algorithm, for automatically generating finite automata for various kinds of useful first-order logic formulas in Büchi arithmetic. Construction in this way can be faster and use much less space than more direct methods. We discuss the theory and we present some empirical data for the free software Walnut.

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Mazen Khodier, Luke Schaeffer, Jeffrey Shallit. 2025-07-25. Self-Verifying Predicates in Büchi Arithmetic. https://arxiv.org/abs/2507.19717

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