# Defeasible Reasoning on Concepts

arXiv: https://arxiv.org/abs/2409.04887 · HTML: https://mlsanity.com/paper/2409.04887/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- Builds on 0 of its 10 references that are in the map.
- First posted on arXiv 7 Sep 2024.

## Built on by (most cited first, 1 of 1)

- [Rational Inference in Formal Concept Analysis](https://mlsanity.com/paper/2504.16938/) (2025)

## Abstract (arXiv)

In this paper, we take first steps toward developing defeasible reasoning on concepts in KLM framework. We define generalizations of cumulative reasoning system C and cumulative reasoning system with loop CL to conceptual setting. We also generalize cumulative models, cumulative ordered models, and preferential models to conceptual setting and show the soundness and completeness results for these models.