English

The logic behind desirable sets of things, and its filter representation

Logic 2024-06-21 v3 Artificial Intelligence

Abstract

We identify the (filter representation of the) logic behind the recent theory of coherent sets of desirable (sets of) things, which generalise coherent sets of desirable (sets of) gambles as well as coherent choice functions, and show that this identification allows us to establish various representation results for such coherent models in terms of simpler ones.

Keywords

Cite

@article{arxiv.2302.08176,
  title  = {The logic behind desirable sets of things, and its filter representation},
  author = {Gert de Cooman and Arthur Van Camp and Jasper De Bock},
  journal= {arXiv preprint arXiv:2302.08176},
  year   = {2024}
}

Comments

38 pages, 1 figure, 2 tables

R2 v1 2026-06-28T08:41:37.717Z