Simplicial Belief
Abstract
Recently, much work has been carried out to study simplicial interpretations of modal logic. While notions of (distributed) knowledge have been well investigated in this context, it has been open how to model belief in simplicial models. We introduce polychromatic simplicial complexes, which naturally impose a plausibility relation on states. From this, we can define various notions of belief.
Fields of Study & Subjects
Logic
Reasoning
and Knowledge
Advanced Algebra and Logic
Bayesian Modeling and Causal Inference
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 12 January 2026
- Document type
- Preprint