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Main Authors: Jung, Jean Christoph, Koopmann, Patrick, Knorr, Matthias
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.08833
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author Jung, Jean Christoph
Koopmann, Patrick
Knorr, Matthias
author_facet Jung, Jean Christoph
Koopmann, Patrick
Knorr, Matthias
contents Craig interpolation and uniform interpolation have many applications in knowledge representation, including explainability, forgetting, modularization and reuse, and even learning. At the same time, many relevant knowledge representation formalisms do in general not have Craig or uniform interpolation, and computing interpolants in practice is challenging. We have a closer look at two prominent knowledge representation formalisms, description logics and logic programming, and discuss theoretical results and practical methods for computing interpolants.
format Preprint
id arxiv_https___arxiv_org_abs_2512_08833
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Interpolation in Knowledge Representation
Jung, Jean Christoph
Koopmann, Patrick
Knorr, Matthias
Artificial Intelligence
Logic in Computer Science
03C40
Craig interpolation and uniform interpolation have many applications in knowledge representation, including explainability, forgetting, modularization and reuse, and even learning. At the same time, many relevant knowledge representation formalisms do in general not have Craig or uniform interpolation, and computing interpolants in practice is challenging. We have a closer look at two prominent knowledge representation formalisms, description logics and logic programming, and discuss theoretical results and practical methods for computing interpolants.
title Interpolation in Knowledge Representation
topic Artificial Intelligence
Logic in Computer Science
03C40
url https://arxiv.org/abs/2512.08833