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Abduction is the task of computing a sufficient extension of a knowledge base (KB) that entails a conclusion not entailed by the original KB. It serves to compute explanations, or hypotheses, for such missing entailments. While this task…

计算机科学中的逻辑 · 计算机科学 2025-07-30 Anselm Haak , Patrick Koopmann , Yasir Mahmood , Anni-Yasmin Turhan

Signature-based abduction aims at building hypotheses over a specified set of names, the signature, that explain an observation relative to some background knowledge. This type of abduction is useful for tasks such as diagnosis, where the…

人工智能 · 计算机科学 2020-07-09 Patrick Koopmann , Warren Del-Pinto , Sophie Tourret , Renate A. Schmidt

Given a knowledge base (KB) with a non-entailed fact, the ABox abduction problem asks for possible extensions of the KB that would entail this fact. This problem has many applications, ranging from diagnosis to explainability and repair.…

计算机科学中的逻辑 · 计算机科学 2026-05-05 Anselm Haak , Patrick Koopmann , Yasir Mahmood , Anni-Yasmin Turhan

Abductive reasoning generates explanatory hypotheses for new observations using prior knowledge. This paper investigates the use of forgetting, also known as uniform interpolation, to perform ABox abduction in description logic (ALC)…

人工智能 · 计算机科学 2018-11-14 Warren Del-Pinto , Renate A. Schmidt

*Concept-based explanations* offer a promising approach for explaining the predictions of deep neural networks in terms of high-level, human-understandable concepts. However, existing methods either do not establish a causal connection…

机器学习 · 计算机科学 2026-05-08 Ronaldo Canizales , Divya Gopinath , Corina Păsăreanu , Ravi Mangal

The EL family of Description Logics (DLs) has been the subject of interest in recent years. On the one hand, these DLs are tractable, but fairly inexpressive. On the other hand, these DLs can be used for designing different classes of…

计算机科学中的逻辑 · 计算机科学 2015-03-31 M. Fareed Arif , Joao Marques-Silva

Juba recently proposed a formulation of learning abductive reasoning from examples, in which both the relative plausibility of various explanations, as well as which explanations are valid, are learned directly from data. The main…

人工智能 · 计算机科学 2017-11-28 Brendan Juba , Zongyi Li , Evan Miller

Given a knowledge base and an observation as a set of facts, ABox abduction aims at computing a hypothesis that, when added to the knowledge base, is sufficient to entail the observation. In signature-based ABox abduction, the hypothesis is…

人工智能 · 计算机科学 2021-05-04 Patrick Koopmann

In order to meet usability requirements, most logic-based applications provide explanation facilities for reasoning services. This holds also for Description Logics, where research has focused on the explanation of both TBox reasoning and,…

人工智能 · 计算机科学 2014-02-05 Diego Calvanese , Magdalena Ortiz , Mantas Simkus , Giorgio Stefanoni

The growing range of applications of Machine Learning (ML) in a multitude of settings motivates the ability of computing small explanations for predictions made. Small explanations are generally accepted as easier for human decision makers…

人工智能 · 计算机科学 2018-11-28 Alexey Ignatiev , Nina Narodytska , Joao Marques-Silva

Reasoning with minimal models has always been at the core of many knowledge representation techniques, but we still have only a limited understanding of this problem in Description Logics (DLs). Minimization of some selected predicates,…

人工智能 · 计算机科学 2025-08-08 Federica Di Stefano , Quentin Manière , Magdalena Ortiz , Mantas Šimkus

Tackling Natural Language Inference with a logic-based method is becoming less and less common. While this might have been counterintuitive several decades ago, nowadays it seems pretty obvious. The main reasons for such a conception are…

计算与语言 · 计算机科学 2020-12-02 Lasha Abzianidze

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…

人工智能 · 计算机科学 2018-12-11 Md Kamruzzaman Sarker , Pascal Hitzler

We propose an abductive diagnosis theory that integrates probabilistic, causal and taxonomic knowledge. Probabilistic knowledge allows us to select the most likely explanation; causal knowledge allows us to make reasonable independence…

人工智能 · 计算机科学 2013-04-05 Dekang Lin , Randy Goebel

Regardless of its foundational role in human discovery and sense-making, abductive reasoning--the inference of the most plausible explanation for an observation--has been relatively underexplored in Large Language Models (LLMs). Despite the…

The inexpressive Description Logic (DL) $\mathcal{FL}_0$, which has conjunction and value restriction as its only concept constructors, had fallen into disrepute when it turned out that reasoning in $\mathcal{FL}_0$ w.r.t. general TBoxes is…

人工智能 · 计算机科学 2021-07-28 Franz Baader , Patrick Koopmann , Friedrich Michel , Anni-Yasmin Turhan , Benjamin Zarrieß

Given a machine learning (ML) model and a prediction, explanations can be defined as sets of features which are sufficient for the prediction. In some applications, and besides asking for an explanation, it is also critical to understand…

机器学习 · 计算机科学 2023-02-08 Xuanxiang Huang , Martin C. Cooper , Antonio Morgado , Jordi Planes , Joao Marques-Silva

In this paper we investigate the complexity of abduction, a fundamental and important form of non-monotonic reasoning. Given a knowledge base explaining the world's behavior it aims at finding an explanation for some observed manifestation.…

计算复杂性 · 计算机科学 2010-06-28 Nadia Creignou , Johannes Schmidt , Michael Thomas

Application of machine learning may be understood as deriving new knowledge for practical use through explaining accumulated observations, training set. Peirce used the term abduction for this kind of inference. Here I formalize the concept…

人工智能 · 计算机科学 2023-01-03 Marina Sapir

We address the problem of propositional logic-based abduction, i.e., the problem of searching for a best explanation for a given propositional observation according to a given propositional knowledge base. We give a general algorithm, based…

人工智能 · 计算机科学 2011-06-28 B. Zanuttini
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