# Weighted Conditional EL{^}bot Knowledge Bases with Integer Weights: an ASP Approach

arXiv: https://arxiv.org/abs/2109.08286 · HTML: https://mlsanity.com/paper/2109.08286/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- Builds on 6 of its 31 references that are in the map.
- First posted on arXiv 17 Sep 2021.

## Builds on (most cited first, 6 of 6)

- [A Survey Of Methods For Explaining Black Box Models](https://mlsanity.com/paper/1802.01933/) (2018)
- [An ASP approach for reasoning in a concept-aware multipreferential lightweight DL](https://mlsanity.com/paper/2006.04387/) (2020)
- [Weighted defeasible knowledge bases and a multipreference semantics for a deep neural network model](https://mlsanity.com/paper/2012.13421/) (2020)
- [A Polynomial Time Subsumption Algorithm for Nominal Safe ELO_bot under Rational Closure](https://mlsanity.com/paper/1802.08201/) (2018)
- [On the KLM properties of a fuzzy DL with Typicality](https://mlsanity.com/paper/2106.00390/) (2021)
- [Defeasible Reasoning in SROEL: from Rational Entailment to Rational Closure](https://mlsanity.com/paper/1803.08885/) (2018)

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

- [An ASP approach for reasoning on neural networks under a finitely many-valued semantics for weighted conditional knowledge bases](https://mlsanity.com/paper/2202.01123/) (2022)
- [A preferential interpretation of MultiLayer Perceptrons in a conditional logic with typicality](https://mlsanity.com/paper/2305.00304/) (2023)

## Abstract (arXiv)

Weighted knowledge bases for description logics with typicality have been recently considered under a "concept-wise" multipreference semantics (in both the two-valued and fuzzy case), as the basis of a logical semantics of Multilayer Perceptrons. In this paper we consider weighted conditional EL^bot knowledge bases in the two-valued case, and exploit ASP and asprin for encoding concept-wise multipreference entailment for weighted KBs with integer weights.