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Logic-based approaches to AI have the advantage that their behaviour can in principle be explained by providing their users with proofs for the derived consequences. However, if such proofs get very large, then it may be hard to understand…

Logic in Computer Science · Computer Science 2020-05-29 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

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

Explainability is needed to establish confidence in machine learning results. Some explainable methods take a post hoc approach to explain the weights of machine learning models, others highlight areas of the input contributing to…

Machine Learning · Computer Science 2024-07-15 Paul Whitten , Francis Wolff , Chris Papachristou

Many semantical aspects of programming languages, such as their operational semantics and their type assignment calculi, are specified by describing appropriate proof systems. Recent research has identified two proof-theoretic features that…

Logic in Computer Science · Computer Science 2008-04-14 Andrew Gacek , Dale Miller , Gopalan Nadathur

In this paper, we offer a guide for researchers on evaluating reasoning in language models, building the case that reasoning should be assessed through evidence of adaptive, multi-step search rather than final-answer accuracy alone. Under…

Artificial Intelligence · Computer Science 2026-05-05 Munachiso Samuel Nwadike , Zangir Iklassov , Kareem Ali , Rifo Genadi , Kentaro Inui

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

The most common methods in explainable artificial intelligence are post-hoc techniques which identify the most relevant features used by pretrained opaque models. Some of the most advanced post hoc methods can generate explanations that…

Artificial Intelligence · Computer Science 2026-03-11 Stefano Fioravanti , Francesco Giannini , Paolo Frazzetto , Fabio Zanasi , Pietro Barbiero

Definite descriptions are expressions of the form "the unique $x$ satisfying property $C$," which allow reference to objects through their distinguishing characteristics. They play a crucial role in ontology and query languages, offering an…

Logic in Computer Science · Computer Science 2025-12-09 Michał Sochański , Przemysław Andrzej Wałęga , Michał Zawidzki

Evaluating large language models (LLMs) on final-answer correctness is the dominant paradigm. This approach, however, provides a coarse signal for model improvement and overlooks the quality of the underlying reasoning process. We argue…

Artificial Intelligence · Computer Science 2025-10-24 Heejin Do , Jaehui Hwang , Dongyoon Han , Seong Joon Oh , Sangdoo Yun

Explanation methods and their evaluation have become a significant issue in explainable artificial intelligence (XAI) due to the recent surge of opaque AI models in decision support systems (DSS). Since the most accurate AI models are…

Artificial Intelligence · Computer Science 2023-08-30 Helena Löfström , Karl Hammar , Ulf Johansson

Users increasingly rely on Large Language Models (LLMs) for Deep Research, using them to synthesize diverse sources into structured reports that support understanding and action. In this context, the practical reliability of such reports…

Computation and Language · Computer Science 2026-02-24 Jujia Zhao , Zhaoxin Huan , Zihan Wang , Xiaolu Zhang , Jun Zhou , Suzan Verberne , Zhaochun Ren

Recently, small models with latent recursion have obtained promising results on complex reasoning tasks. These results are typically explained by the theory that such recursion increases a networks depth, allowing it to compactly emulate…

Computation and Language · Computer Science 2026-02-06 Arip Asadulaev , Rayan Banerjee , Fakhri Karray , Martin Takac

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

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

The overarching goal of Explainable AI is to develop systems that not only exhibit intelligent behaviours, but also are able to explain their rationale and reveal insights. In explainable machine learning, methods that produce a high level…

Artificial Intelligence · Computer Science 2020-05-06 Xiuyi Fan , Siyuan Liu , Thomas C. Henderson

Explaining why a database query result is obtained is an essential task towards the goal of Explainable AI, especially nowadays where expressive database query languages such as Datalog play a critical role in the development of…

Databases · Computer Science 2023-03-23 Marco Calautti , Ester Livshits , Andreas Pieris , Markus Schneider

Concept Induction refers to the problem of creating complex Description Logic class descriptions (i.e., TBox axioms) from instance examples (i.e., ABox data). In this paper we look particularly at the case where both a set of positive and a…

Artificial Intelligence · Computer Science 2018-12-11 Md Kamruzzaman Sarker , Pascal Hitzler

As post hoc explanation methods are increasingly being leveraged to explain complex models in high-stakes settings, it becomes critical to ensure that the quality of the resulting explanations is consistently high across various population…

Machine Learning · Computer Science 2022-07-05 Jessica Dai , Sohini Upadhyay , Ulrich Aivodji , Stephen H. Bach , Himabindu Lakkaraju

The leaderboard of Large Language Models (LLMs) in mathematical tasks has been continuously updated. However, the majority of evaluations focus solely on the final results, neglecting the quality of the intermediate steps. This oversight…

Computation and Language · Computer Science 2025-01-15 Shijie Xia , Xuefeng Li , Yixin Liu , Tongshuang Wu , Pengfei Liu
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