PreprintCC BY 4.0arXiv
Logics of Filter Bubbles
Abstract
Filter bubbles can be understood as configurations characterized by within-group proximity and separation from outsiders. Personalized feeds may form or preserve such configurations. We develop hybrid-style logics for reasoning about filter bubbles. The static logic characterizes bubble-shaped configurations, while its dynamic extension captures their formation and persistence under personalized feeds. We provide sound and strongly complete axiomatizations for the static and dynamic logics and prove their decidability.
Related
- Classical and Quantum Logics with Multiple Non-Equivalent and Non-Isomorphic Models
- Uncountably many maximally consistent neighborhood complete congruential modal logics
- Closure Semantics for Weak Modal Logics: Completeness and Representations
- Elementary modal logics and circuit complexity
- On Three-Valued Dependence-Like Logics
BibTeX
@misc{li2026logics,
title = {{Logics of Filter Bubbles}},
author = {Lei Li and Jialiang Yan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21565},
eprint = {2609.21565},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21565},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Logics of Filter Bubbles
AU - Lei Li
AU - Jialiang Yan
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2609.21565
UR - https://arxiv.org/abs/2609.21565
AB - Filter bubbles can be understood as configurations characterized by within-group proximity and separation from outsiders. Personalized feeds may form or preserve such configurations. We develop hybrid-style logics for reasoning about filter bubbles. The static logic characterizes bubble-shaped configurations, while its dynamic extension captures their formation and persistence under personalized feeds. We provide sound and strongly complete axiomatizations for the static and dynamic logics and prove their decidability.
ER -