# A preferential interpretation of MultiLayer Perceptrons in a conditional logic with typicality

arXiv: https://arxiv.org/abs/2305.00304 · HTML: https://mlsanity.com/paper/2305.00304/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- Builds on 17 of its 112 references that are in the map.
- First posted on arXiv 29 Apr 2023.

## Builds on (most cited first, 17 of 17)

- [Neural Probabilistic Logic Programming in DeepProbLog](https://mlsanity.com/paper/1907.08194/) (2019)
- [Neural-Symbolic Computing: An Effective Methodology for Principled Integration of Machine Learning and Reasoning](https://mlsanity.com/paper/1905.06088/) (2019)
- [Graph Neural Networks Meet Neural-Symbolic Computing: A Survey and Perspective](https://mlsanity.com/paper/2003.00330/) (2020)
- [GLocalX -- From Local to Global Explanations of Black Box AI Models](https://mlsanity.com/paper/2101.07685/) (2021)
- [Ontology Reasoning with Deep Neural Networks](https://mlsanity.com/paper/1808.07980/) (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 Rational Entailment for Propositional Typicality Logic](https://mlsanity.com/paper/1809.10946/) (2018)
- [A conditional, a fuzzy and a probabilistic interpretation of self-organising maps](https://mlsanity.com/paper/2103.06854/) (2021)
- [On the KLM properties of a fuzzy DL with Typicality](https://mlsanity.com/paper/2106.00390/) (2021)
- [A framework for a modular multi-concept lexicographic closure semantics](https://mlsanity.com/paper/2009.00964/) (2020)
- [Reasoning on Multi-Relational Contextual Hierarchies via Answer Set Programming with Algebraic Measures](https://mlsanity.com/paper/2108.03100/) (2021)
- [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)
- [The Complexity of Circumscription in DLs](https://mlsanity.com/paper/1401.3476/) (2014)
- [Weighted Conditional EL{^}bot Knowledge Bases with Integer Weights: an ASP Approach](https://mlsanity.com/paper/2109.08286/) (2021)
- [Complexity and scalability of defeasible reasoning in many-valued weighted knowledge bases with typicality](https://mlsanity.com/paper/2303.04534/) (2023)

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

- [A framework for Conditional Reasoning in Answer Set Programming](https://mlsanity.com/paper/2506.03997/) (2025)

## Abstract (arXiv)

In this paper we investigate the relationships between a multipreferential semantics for defeasible reasoning in knowledge representation and a multilayer neural network model. Weighted knowledge bases for a simple description logic with typicality are considered under a (many-valued) ``concept-wise" multipreference semantics. The semantics is used to provide a preferential interpretation of MultiLayer Perceptrons (MLPs). A model checking and an entailment based approach are exploited in the verification of conditional properties of MLPs.