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This paper is devoted to the problems of ontology-based mathematical knowledge management and representation. The main attention is paid to the development of a formal model for the representation of mathematical statements in the Open…

Artificial Intelligence · Computer Science 2023-03-27 Alexander Kirillovich , Olga Nevzorova , Evgeny Lipachev

Basic abstraction principles are reached through ontology, which was traditionally conceived as a depiction of the world itself. Ontology is also described using conceptual modeling (CM) that defines fundamental concepts of reality. CM is…

Software Engineering · Computer Science 2023-01-06 Sabah Al-Fedaghi

The development of an aircraft industrial system is a complex process which faces the challenge of digital discontinuity in multidisciplinary engineering due to various interfaces between different digital tools, leading to extra…

Software Engineering · Computer Science 2022-04-25 Xiaodu Hu , Rebeca Arista , Xiaochen Zheng , Joachim Lentes , Jyri Sorvari , Jinzhi Lu , Fernando Ubis , Dimitris Kiritsis

The paper tackles the issue of mapping logic axioms formalised in the Ontology Web Language (OWL) within the Object-Oriented Programming (OOP) paradigm. The issues of mapping OWL axioms hierarchies and OOP objects hierarchies are due to…

Artificial Intelligence · Computer Science 2024-04-22 Luca Buoncompagni , Fulvio Mastrogiovanni

Training large language models (LLMs) with synthetic reasoning data has become a popular approach to enhancing their reasoning capabilities, while a key factor influencing the effectiveness of this paradigm is the quality of the generated…

Artificial Intelligence · Computer Science 2026-03-24 Zhuojie Yang , Wentao Wan , Keze Wang

An ontology is a formal representation of domain knowledge, which can be interpreted by machines. In recent years, ontologies have become a major tool for domain knowledge representation and a core component of many knowledge management…

Artificial Intelligence · Computer Science 2019-06-27 Anat Goldstein , Lior Fink , Gilad Ravid

Rules complement and extend ontologies on the Semantic Web. We refer to these rules as onto-relational since they combine DL-based ontology languages and Knowledge Representation formalisms supporting the relational data model within the…

Artificial Intelligence · Computer Science 2012-10-30 Francesca A. Lisi

This paper is based on and advocates the trend in software engineering of extending the use of software patterns as means of structuring solutions to software development problems (be they motivated by best practice or by company interests…

Software Engineering · Computer Science 2007-05-23 Jean-Marc Rosengard , Marian Ursu

We propose a novel framework to facilitate the on-demand design of data-centric systems by exploiting domain knowledge from an existing ontology. Its key ingredient is a process that we call focusing, which allows to obtain a schema for a…

Logic in Computer Science · Computer Science 2019-04-02 Tomasz Gogacz , Víctor Gutiérrez-Basulto , Yazmín A. Ibáñez-García , Filip Murlak , Magdalena Ortiz , Mantas Šimkus

Logic has proved essential for formally modeling software based systems. Such formal descriptions, frequently called specifications, have served not only as requirements documentation and formalisation, but also for providing the…

Logic in Computer Science · Computer Science 2021-07-20 Carlos G. Lopez Pombo , Thomas S. E. Maibaum

The paper provides a survey of semantic methods for solution of fundamental tasks in mathematical knowledge management. Ontological models and formalisms are discussed. We propose an ontology of mathematical knowledge, covering a wide range…

Artificial Intelligence · Computer Science 2014-09-01 Alexander Elizarov , Alexander Kirillovich , Evgeny Lipachev , Olga Nevzorova , Valery Solovyev , Nikita Zhiltsov

OTTR is a language for representing ontology modeling patterns, which enables to build ontologies or knowledge bases by instantiating templates. Thereby, particularities of the ontological representation language are hidden from the domain…

Databases · Computer Science 2023-09-26 Moritz Blum , Basil Ell , Philipp Cimiano

To exploit the Web Ontology Language OWL as an answer set programming (ASP) language, we introduce the notion of bounded model semantics, as an intuitive and computationally advantageous alternative to its classical semantics. We show that…

Programming Languages · Computer Science 2015-11-04 Sarah Alice Gaggl , Sebastian Rudolph , Lukas Schweizer

Performing complex manipulation tasks in dynamic environments requires efficient Task and Motion Planning (TAMP) approaches that combine high-level symbolic plans with low-level motion control. Advances in Large Language Models (LLMs), such…

Robotics · Computer Science 2025-10-02 Muhayy Ud Din , Jan Rosell , Waseem Akram , Isiah Zaplana , Maximo A Roa , Irfan Hussain

We define an inference system to capture explanations based on causal statements, using an ontology in the form of an IS-A hierarchy. We first introduce a simple logical language which makes it possible to express that a fact causes another…

Artificial Intelligence · Computer Science 2010-05-02 Philippe Besnard , Marie-Odile Cordier , Yves Moinard

Reasoning is a fundamental substrate for solving novel and complex problems. Deliberate efforts in learning and developing frameworks around System 2 reasoning have made great strides, yet problems of sufficient complexity remain largely…

Computation and Language · Computer Science 2024-10-18 Matthew Ho , Vincent Zhu , Xiaoyin Chen , Moksh Jain , Nikolay Malkin , Edwin Zhang

Structured reasoning over natural language inputs remains a core challenge in artificial intelligence, as it requires bridging the gap between unstructured linguistic expressions and formal logical representations. In this paper, we propose…

Artificial Intelligence · Computer Science 2025-07-14 Keying Yang , Hao Wang , Kai Yang

The different activities related to debugging such as program instrumentation, representation of execution trace and analysis of trace are not typically performed in an unified framework. We propose \textit{BOLD}, an Ontology-based Log…

Software Engineering · Computer Science 2020-04-24 Dileep Kumar P , Rupesh Nasre , Sreenivasa Kumar P

The upcoming technology support for semantic web promises fresh directions for Software Engineering community. Also semantic web has its roots in knowledge engineering that provoke software engineers to look for application of ontology…

Software Engineering · Computer Science 2013-07-17 Farheen Siddiqui , M. Afshar Alam

In this work, we present a novel approach to ontology reasoning that is based on deep learning rather than logic-based formal reasoning. To this end, we introduce a new model for statistical relational learning that is built upon deep…

Artificial Intelligence · Computer Science 2017-05-31 Patrick Hohenecker , Thomas Lukasiewicz