We demonstrate that large language models can produce reasonable numerical ratings of the logical consistency of claims. We also outline a mathematical approach based on sheaf theory for lifting such ratings to hypertexts such as laws, jurisprudence, and social media and evaluating their consistency globally. This approach is a promising avenue to increasing consistency in and of government, as well as to combating mis- and disinformation and related ills.

翻译：我们证明，大语言模型能够为声明的逻辑一致性生成合理的数值评分。我们还概述了一种基于层论的数学方法，用于将此类评分提升至法律、判例法及社交媒体等超文本中，并全局评估其一致性。这一方法为提升政府内部及政府间的一致性，以及打击虚假信息及相关弊病提供了有前景的途径。