English

Belief Expansion in Subset Models

Logic in Computer Science 2023-10-06 v1

Abstract

Subset models provide a new semantics for justifcation logic. The main idea of subset models is that evidence terms are interpreted as sets of possible worlds. A term then justifies a formula if that formula is true in each world of the interpretation of the term. In this paper, we introduce a belief expansion operator for subset models. We study the main properties of the resulting logic as well as the differences to a previous (symbolic) approach to belief expansion in justification logic.

Keywords

Cite

@article{arxiv.2310.03627,
  title  = {Belief Expansion in Subset Models},
  author = {Eveline Lehmann and Thomas Studer},
  journal= {arXiv preprint arXiv:2310.03627},
  year   = {2023}
}
R2 v1 2026-06-28T12:41:40.592Z