Dynamic Logic of Trust-Based Beliefs

Fuente: arXiv
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Main Authors: Jiang, Junli, Naumov, Pavel, Zhang, Wenxuan
Format: Preprint
Published: 2025
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author Jiang, Junli
Naumov, Pavel
Zhang, Wenxuan
author_facet Jiang, Junli
Naumov, Pavel
Zhang, Wenxuan
contents Traditionally, an agent's beliefs would come from what the agent can see, hear, or sense. In the modern world, beliefs are often based on the data available to the agents. In this work, we investigate a dynamic logic of such beliefs that incorporates public announcements of data. The main technical contribution is a sound and complete axiomatisation of the interplay between data-informed beliefs and data announcement modalities. We also describe a non-trivial polynomial model checking algorithm for this logical system.
format Preprint
id arxiv_https___arxiv_org_abs_2511_00899
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamic Logic of Trust-Based Beliefs
Jiang, Junli
Naumov, Pavel
Zhang, Wenxuan
Logic in Computer Science
Artificial Intelligence
Logic
Traditionally, an agent's beliefs would come from what the agent can see, hear, or sense. In the modern world, beliefs are often based on the data available to the agents. In this work, we investigate a dynamic logic of such beliefs that incorporates public announcements of data. The main technical contribution is a sound and complete axiomatisation of the interplay between data-informed beliefs and data announcement modalities. We also describe a non-trivial polynomial model checking algorithm for this logical system.
title Dynamic Logic of Trust-Based Beliefs
topic Logic in Computer Science
Artificial Intelligence
Logic
url https://arxiv.org/abs/2511.00899