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Logic-based approaches to AI have the advantage that their behavior can in principle be explained to a user. If, for instance, a Description Logic reasoner derives a consequence that triggers some action of the overall system, then one can…

Artificial Intelligence · Computer Science 2022-05-26 Christian Alrabbaa , Franz Baader , Stefan Borgwardt , Patrick Koopmann , Alisa Kovtunova

Logic-based approaches to AI have the advantage that their behavior can in principle be explained with the help of proofs of the computed consequences. For ontologies based on Description Logic (DL), we have put this advantage into practice…

Logic in Computer Science · Computer Science 2023-08-08 Christian Alrabbaa , Franz Baader , Stefan Borgwardt , Patrick Koopmann , Alisa Kovtunova

Explanations for description logic (DL) entailments provide important support for the maintenance of large ontologies. The "justifications" usually employed for this purpose in ontology editors pinpoint the parts of the ontology responsible…

Logic in Computer Science · Computer Science 2022-05-20 Christian Alrabbaa , Franz Baader , Stefan Borgwardt , Raimund Dachselt , Patrick Koopmann , Julián Méndez

The ability of Large Language Models (LLMs) to perform reasoning tasks such as deduction has been widely investigated in recent years. Yet, their capacity to generate proofs-faithful, human-readable explanations of why conclusions…

Artificial Intelligence · Computer Science 2026-01-21 Hui Yang , Jiaoyan Chen , Uli Sattler

Consequence-based reasoning can be used to construct proofs that explain entailments of description logic (DL) ontologies. In the literature, one can find multiple consequence-based calculi for reasoning in the $\mathcal{EL}$ family of DLs,…

Logic in Computer Science · Computer Science 2025-07-30 Christian Alrabbaa , Stefan Borgwardt , Philipp Herrmann , Markus Krötzsch

Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Expressive role constructors are important in many applications, but can…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrocks , Ulrike Sattler , Stephan Tobies

Large Language Models (LLMs) are increasingly used to generate textual explanations of process models discovered from event logs. Producing explanations from large behavioral abstractions (e.g., directly-follows graphs or Petri nets) can be…

Machine Learning · Computer Science 2025-10-14 P. van Oerle , R. H. Bemthuis , F. A. Bukhsh

Given the intractably large size of the space of proofs, any model that is capable of general deductive reasoning must generalize to proofs of greater complexity. Recent studies have shown that large language models (LLMs) possess some…

Computation and Language · Computer Science 2023-11-07 Abulhair Saparov , Richard Yuanzhe Pang , Vishakh Padmakumar , Nitish Joshi , Seyed Mehran Kazemi , Najoung Kim , He He

Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Expressive role constructors are important in many applications, but can…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrocks , Ulrike Sattler , Stephan Tobies

Integrating free-text explanations to in-context learning of large language models (LLM) is shown to elicit strong reasoning capabilities along with reasonable explanations. In this paper, we consider the problem of leveraging the…

Computation and Language · Computer Science 2022-10-14 Shiyang Li , Jianshu Chen , Yelong Shen , Zhiyu Chen , Xinlu Zhang , Zekun Li , Hong Wang , Jing Qian , Baolin Peng , Yi Mao , Wenhu Chen , Xifeng Yan

Ontologies formalise how the concepts from a given domain are interrelated. Despite their clear potential as a backbone for explainable AI, existing ontologies tend to be highly incomplete, which acts as a significant barrier to their more…

Artificial Intelligence · Computer Science 2021-05-12 Steven Schockaert , Yazmín Ibáñez-García , Víctor Gutiérrez-Basulto

Deductive reasoning plays a pivotal role in the formulation of sound and cohesive arguments. It allows individuals to draw conclusions that logically follow, given the truth value of the information provided. Recent progress in the domain…

Computation and Language · Computer Science 2024-06-04 Philipp Mondorf , Barbara Plank

Large language models (LLMs) are increasingly used in situations where human values are at stake, such as decision-making tasks that involve reasoning when performed by humans. We investigate the so-called reasoning capabilities of LLMs…

Computation and Language · Computer Science 2025-12-25 Nathaniël de Leeuw , Marceau Nahon , Mathis Reymond , Raja Chatila , Mehdi Khamassi

Large Language Models (LLMs) have demonstrated strong generalization across a wide range of tasks. Reasoning with LLMs is central to solving multi-step problems and complex decision-making. To support efficient reasoning, recent studies…

Computation and Language · Computer Science 2025-09-03 Jindong Li , Yali Fu , Li Fan , Jiahong Liu , Yao Shu , Chengwei Qin , Menglin Yang , Irwin King , Rex Ying

Large Language Models (LLMs) have succeeded remarkably in various natural language processing (NLP) tasks, yet their reasoning capabilities remain a fundamental challenge. While LLMs exhibit impressive fluency and factual recall, their…

Computation and Language · Computer Science 2025-05-29 Avinash Patil , Aryan Jadon

Decision lists (DLs) find a wide range of uses for classification problems in Machine Learning (ML), being implemented in a number of ML frameworks. DLs are often perceived as interpretable. However, building on recent results for decision…

Artificial Intelligence · Computer Science 2021-05-17 Alexey Ignatiev , Joao Marques-Silva

Description Logics (DLs) are used in knowledge-based systems to represent and reason about terminological knowledge of the application domain in a semantically well-defined manner. In this thesis, we establish a number of novel complexity…

Logic in Computer Science · Computer Science 2007-05-23 Stephan Tobies

Large Language Models (LLMs) excel in complex reasoning tasks but struggle with consistent rule application, exception handling, and explainability, particularly in domains like legal analysis that require both natural language…

Artificial Intelligence · Computer Science 2025-11-11 Albert Sadowski , Jarosław A. Chudziak

Description logics (DLs) are well-known knowledge representation formalisms focused on the representation of terminological knowledge. Due to their first-order semantics, these languages (in their classical form) are not suitable for…

Logic in Computer Science · Computer Science 2020-09-29 Leonard Botha , Thomas Meyer , Rafael Peñaloza

This paper describes a resolution based Description Logic reasoning system called DLog. DLog transforms Description Logic axioms into a Prolog program and uses the standard Prolog execution for efficiently answering instance retrieval…

Logic in Computer Science · Computer Science 2009-04-09 Gergely Lukácsy , Péter Szeredi
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