# Properties of ABA+ for Non-Monotonic Reasoning

arXiv: https://arxiv.org/abs/1603.08714 · HTML: https://mlsanity.com/paper/1603.08714/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 29 Mar 2016.

## Built on by (most cited first, 2 of 2)

- [Monotonicity and Noise-Tolerance in Case-Based Reasoning with Abstract Argumentation (with Appendix)](https://mlsanity.com/paper/2107.06413/) (2021)
- [Harnessing Incremental Answer Set Solving for Reasoning in Assumption-Based Argumentation](https://mlsanity.com/paper/2108.04192/) (2021)

## Abstract (arXiv)

We investigate properties of ABA+, a formalism that extends the well studied structured argumentation formalism Assumption-Based Argumentation (ABA) with a preference handling mechanism. In particular, we establish desirable properties that ABA+ semantics exhibit. These pave way to the satisfaction by ABA+ of some (arguably) desirable principles of preference handling in argumentation and nonmonotonic reasoning, as well as non-monotonic inference properties of ABA+ under various semantics.