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cs.AI2026

Standpoint Logics with Defeasible Beliefs

Nicholas Leisegang, Thomas Meyer, Sebastian Rudolph

In this paper, we integrate the defeasible logic of Kraus, Lehmann and Magidor (KLM) with the standpoint logic framework of Gómez Álvarez and Rudolph. This is done with the goal…

cs.AI2026

Towards Non-Monotonic Entailment in Propositional Defeasible Standpoint Logic

Nicholas Leisegang, Thomas Meyer, Ivan Varzniczak

Recent work in defeasible reasoning has seen notions of preferential semantics and entailment in the style of Kraus et al. applied to modal logics. However, work in this field has…

cs.AI2025

Semantic Bridges Between First Order c-Representations and Cost-Based Semantics: An Initial Perspective

Nicholas Leisegang, Giovanni Casini, Thomas Meyer

Weighted-knowledge bases and cost-based semantics represent a recent formalism introduced by Bienvenu et al. for Ontology Mediated Data Querying in the case where a given knowledge…

cs.AI2025

Rational Inference in Formal Concept Analysis

Lucas Carr, Nicholas Leisegang, Thomas Meyer +1

Defeasible conditionals are a form of non-monotonic inference which enable the expression of statements like "if then normally ". The KLM framework defines a semantics for…

cs.AI2024

Towards Propositional KLM-Style Defeasible Standpoint Logics

Nicholas Leisegang, Thomas Meyer, Sebastian Rudolph

The KLM approach to defeasible reasoning introduces a weakened form of implication into classical logic. This allows one to incorporate exceptions to general rules into a logical s…