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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

We provide a denotational semantics for first-order logic that captures the two-level view of the computation process typical for constraint programming. At one level we have the usual program execution. At the other level an automatic…

Logic in Computer Science · Computer Science 2007-05-23 K. R. Apt , C. F. M. Vermeulen

With the needs of science and business, data sharing and re-use has become an intensive activity for various areas. In many cases, governance imposes rules concerning data use, but there is no existing computational technique to help…

Artificial Intelligence · Computer Science 2019-11-20 Rui Zhao , Malcolm Atkinson

In the materials design domain, much of the data from materials calculations are stored in different heterogeneous databases. Materials databases usually have different data models. Therefore, the users have to face the challenges to find…

Databases · Computer Science 2020-11-06 Huanyu Li , Rickard Armiento , Patrick Lambrix

In the last decades, several objects such as grammars, economical agents, laws of physics... have been defined as algorithms. In particular, after Brouwer, Heyting, and Kolomogorov, mathematical proofs have been defined as algorithms. In…

Logic in Computer Science · Computer Science 2023-06-02 Gilles Dowek

Since Organizations have recognized that knowledge constitutes a valuable intangible asset for creating and sustaining competitive advantages, knowledge sharing has a vital role in present society. It is an activity through which…

Artificial Intelligence · Computer Science 2015-03-13 P. C. Sherimon , Reshmy Krishnan , P. V. Vinu

Philosophers frequently struggle with the relation of metaphysics to the everyday world, with its practical value, and with its relation to empirical science. This paper distinguishes several different models of the relation between…

Artificial Intelligence · Computer Science 2019-03-28 Gary H. Merrill

We explore the role of ontologies in enhancing hybrid modeling and simulation through improved semantic rigor, model reusability, and interoperability across systems, disciplines, and tools. By distinguishing between methodological and…

Artificial Intelligence · Computer Science 2025-06-17 John Beverley , Andreas Tolk

We offer a view of mathematics as an experimental science where axioms play the role of foundational theories like general relativity and quantum mechanics in physics. Under this view, axioms are provisional and inferred from experience…

History and Overview · Mathematics 2026-04-29 Asvin G

We present a second-order language that can be used to succinctly specify ontologies in a consistent and transparent manner. This language is based on ontology templates (OTTR), a framework for capturing recurring patterns of axioms in…

Artificial Intelligence · Computer Science 2018-09-28 Henrik Forssell , Christian Kindermann , Daniel P. Lupp , Uli Sattler , Evgenij Thorstensen

The theory of finite term algebras provides a natural framework to describe the semantics of functional languages. The ability to efficiently reason about term algebras is essential to automate program analysis and verification for…

Logic in Computer Science · Computer Science 2016-11-10 Laura Kovacs , Simon Robillard , Andrei Voronkov

The question whether an ontology can safely be replaced by another, possibly simpler, one is fundamental for many ontology engineering and maintenance tasks. It underpins, for example, ontology versioning, ontology modularization,…

Artificial Intelligence · Computer Science 2018-04-24 Elena Botoeva , Boris Konev , Carsten Lutz , Vladislav Ryzhikov , Frank Wolter , Michael Zakharyaschev

Models are fundamentally crucial to many scientific fields, including software engineering, systems engineering, enterprise modeling, and business modeling. This paper focuses on diagrammatic conceptual modeling, as opposed to mathematical…

Software Engineering · Computer Science 2021-10-28 Sabah Al-Fedaghi , Mahdi Modhaffar

Context: This work is part of a research project whose ultimate goal is to systematize theory building in qualitative research in the field of software engineering. The proposed methodology involves four phases: conceptualization,…

Software Engineering · Computer Science 2024-12-04 Jorge Pérez , Jessica Díaz , Ángel González-Prieto , Sergio Gil-Borrás

The SemanticWeb emerged as an extension to the traditional Web, towards adding meaning to a distributed Web of structured and linked data. At its core, the concept of ontology provides the means to semantically describe and structure…

Artificial Intelligence · Computer Science 2021-05-03 Konstantinos Sikelis , George E Tsekouras , Konstantinos I Kotis

We present a statistical mechanical theory of the process of annotating an object with terms selected from an ontology. The term selection process is formulated as an ideal lattice gas model, but in a highly structured inhomogeneous field.…

Physics and Society · Physics 2016-05-19 David C. Hoyle , Andrew Brass

Small wind projects encounter difficulties to be efficiently deployed, partly because wrong way data and information are managed. Ontologies can overcome the drawbacks of partially available, noisy, inconsistent, and heterogeneous data…

Artificial Intelligence · Computer Science 2015-10-13 Adrian Groza

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

Managing the growing data from renewable energy production plants for effective decision-making often involves leveraging Ontology-based Data Access (OBDA), a well-established approach that facilitates querying diverse data through a shared…

Databases · Computer Science 2024-10-17 Marco Calautti , Damiano Duranti , Paolo Giorgini

In conceptual modeling (CM) as a subdiscipline of software engineering, current proposed ontologies (categorical analysis of entities) are typically established through whole adoption of philosophical theories (e.g. Bunge s). In this paper,…

Software Engineering · Computer Science 2023-08-21 Sabah Al-Fedaghi
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