Self-Verifying Predicates in Büchi Arithmetic

Fuente: arXiv
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Auteurs principaux: Khodier, Mazen, Schaeffer, Luke, Shallit, Jeffrey
Format: Preprint
Publié: 2025
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author Khodier, Mazen
Schaeffer, Luke
Shallit, Jeffrey
author_facet Khodier, Mazen
Schaeffer, Luke
Shallit, Jeffrey
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_19717
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Self-Verifying Predicates in Büchi Arithmetic
Khodier, Mazen
Schaeffer, Luke
Shallit, Jeffrey
Formal Languages and Automata Theory
Discrete Mathematics
Combinatorics
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.
title Self-Verifying Predicates in Büchi Arithmetic
topic Formal Languages and Automata Theory
Discrete Mathematics
Combinatorics
url https://arxiv.org/abs/2507.19717