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In nonmonotonic reasoning from conditional belief bases, an inference operator satisfying syntax splitting postulates allows for taking only the relevant parts of a belief base into account, provided that the belief base splits into…

Artificial Intelligence · Computer Science 2026-04-15 Lars-Phillip Spiegel , Jonas Haldimann , Jesse Heyninck , Gabriele Kern-Isberner , Christoph Beierle

Hybrid MKNF knowledge bases have been considered one of the dominant approaches to combining open world ontology languages with closed world rule-based languages. Currently, the only known inference methods are based on the approach of…

Artificial Intelligence · Computer Science 2017-07-14 Jianmin Ji , Fangfang Liu , Jia-Huai You

We introduce \emph{TAPO-Structured Description Logic} (TAPO--DL), a formal extension of classical description logic designed to model \emph{information behavior} as a structured, dynamic process. TAPO--DL extends the standard T--Box/A--Box…

Logic in Computer Science · Computer Science 2026-02-20 Takao Inoué

Ensuring that safety-critical applications behave as intended is an important yet challenging task. Modeling languages like differential dynamic logic (dL) have proof calculi capable of proving guarantees for such applications. However, dL…

Formal Languages and Automata Theory · Computer Science 2024-10-08 Myra Dotzel , Stefan Mitsch , André Platzer

Time series forecasting in real-world applications requires both high predictive accuracy and interpretable uncertainty quantification. Traditional point prediction methods often fail to capture the inherent uncertainty in time series data,…

Machine Learning · Computer Science 2026-02-05 Zhen Zhou , Zhirui Wang , Qi Hong , Yunyang Shi , Ziyuan Gu , Zhiyuan Liu

Hybrid MKNF knowledge bases are one of the most prominent tightly integrated combinations of open-world ontology languages with closed-world (non-monotonic) rule paradigms. The definition of Hybrid MKNF is parametric on the description…

Artificial Intelligence · Computer Science 2011-12-12 José Júlio Alferes , Matthias Knorr , Terrance Swift

Ontologies such as taxonomies, product catalogs or web directories are heavily used and hence evolve frequently to meet new requirements or to better reflect the current instance data of a domain. To effectively manage the evolution of…

Databases · Computer Science 2010-10-04 Michael Hartung , Anika Groß , Erhard Rahm

The static nature of knowledge within Large Language Models (LLMs) makes it difficult for them to adapt to evolving information, rendering knowledge editing a critical task. However, existing methods struggle with challenges of scalability…

Artificial Intelligence · Computer Science 2025-11-19 Minghu Wang , Shuliang Zhao , Yuanyuan Zhao , Hongxia Xu

Building rules on top of ontologies is the ultimate goal of the logical layer of the Semantic Web. To this aim an ad-hoc mark-up language for this layer is currently under discussion. It is intended to follow the tradition of hybrid…

Artificial Intelligence · Computer Science 2007-11-13 Francesca A. Lisi

The Distributed Ontology Language (DOL) is currently being standardized within the OntoIOp (Ontology Integration and Interoperability) activity of ISO/TC 37/SC 3. It aims at providing a unified framework for (1) ontologies formalized in…

Artificial Intelligence · Computer Science 2012-08-02 Christoph Lange , Till Mossakowski , Oliver Kutz , Christian Galinski , Michael Grüninger , Daniel Couto Vale

Description logics (DLs) are standard knowledge representation languages for modelling ontologies, i.e. knowledge about concepts and the relations between them. Unfortunately, DL ontologies are difficult to learn from data and…

Artificial Intelligence · Computer Science 2020-06-26 Yazmín Ibáñez-García , Víctor Gutiérrez-Basulto , Steven Schockaert

Continual learning aims to update models under distribution shift without forgetting, yet many high-stakes deployments, such as healthcare, also require interpretability. In practice, models that adapt well (e.g., deep networks) are often…

Machine Learning · Computer Science 2026-04-21 Dongkyu Cho , Xiyue Li , Samrachana Adhikari , Rumi Chunara

Standpoint extensions of knowledge representation formalisms have been recently introduced as a means to incorporate multi-perspective modelling and reasoning through modal operators that attribute pieces of knowledge to specific entities…

Logic in Computer Science · Computer Science 2025-08-04 Lucía Gómez Álvarez , Sebastian Rudolph

In this paper, we present a new theoretical approach for enabling domain knowledge acquisition by intelligent systems. We introduce a hybrid model that starts with minimal input knowledge in the form of an upper ontology of concepts, stores…

Machine Learning · Statistics 2023-06-23 Hanna Abi Akl

The substantial interest in updating Large Language Models (LLMs) without retraining from scratch is accompanied by several challenges. This is particularly true when updating LLMs with datasets that necessitate domain-expert reasoning…

Computation and Language · Computer Science 2024-11-14 Xin Zhang , Tianjie Ju , Huijia Liang , Ying Fu , Qin Zhang

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

Substantial progress has been made in various techniques for open-world recognition. Out-of-distribution (OOD) detection methods can effectively distinguish between known and unknown classes in the data, while incremental learning enables…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Xiang Xiang , Qinhao Zhou , Zhuo Xu , Jing Ma , Jiaxin Dai , Yifan Liang , Hanlin Li

Probabilistic epistemic argumentation allows for reasoning about argumentation problems in a way that is well founded by probability theory. Epistemic states are represented by probability functions over possible worlds and can be adjusted…

Artificial Intelligence · Computer Science 2019-06-13 Nico Potyka , Sylwia Polberg , Anthony Hunter

This work builds upon a well-established research tradition on modal logics of awareness. One of its aims is to export tools and techniques to other areas within modal logic. To this end, we illustrate a number of significant bridges with…

Logic in Computer Science · Computer Science 2023-07-12 Carlo Proietti , Fernando R. Velázquez-Quesada , Antonio Yuste-Ginel

Knowledge Editing is a technique that updates large language models (LLMs) with new information to maintain their world knowledge. This approach avoids the need to rebuild the model from scratch, thereby addressing the high costs associated…

Computation and Language · Computer Science 2025-09-09 Changyue Wang , Weihang Su , Qingyao Ai , Yichen Tang , Yiqun Liu