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Translating natural language into formal language such as First-Order Logic (FOL) is a foundational challenge in NLP with wide-ranging applications in automated reasoning, misinformation tracking, and knowledge validation. In this paper, we…

Computation and Language · Computer Science 2025-03-07 Abhinav Lalwani , Tasha Kim , Lovish Chopra , Christopher Hahn , Zhijing Jin , Mrinmaya Sachan

In this paper, we want to speculate about the possibility to model all the currently known/proposed approaches to terminology into a single schema. We will use the Entity-Relationship (ER) diagram as our tool for the conceptual data model…

Digital Libraries · Computer Science 2021-12-14 Giorgio Maria Di Nunzio , Federica Vezzani

Organizing a large-scale knowledge graph into a typed property graph requires structural decisions -- which entities become nodes, which properties become edges, and what schema governs these choices. Existing approaches embed these…

Artificial Intelligence · Computer Science 2026-04-06 Yitao Li , Zhanlin Liu , Anuranjan Pandey , Muni Srikanth

In this paper, we propose a set theoretic approach for knowledge representation. While the syntax of an application domain is captured by set theoretic constructs including individuals, concepts and operators, knowledge is formalized by…

Artificial Intelligence · Computer Science 2016-03-14 Yi Zhou

On the Semantic Web, metadata and ontologies are used to enable computers to read data. The Web Ontology Language (OWL) has been proposed as a standard ontological language, and various inference systems for this language have been studied.…

Logic in Computer Science · Computer Science 2022-08-11 Daiki Takahashi , Ken Kaneiwa

We address the problem of answering Web ontology queries efficiently. An ontology is formalized as a Deductive Ontology Base (DOB), a deductive database that comprises the ontology's inference axioms and facts. A cost-based query…

Databases · Computer Science 2007-11-15 Edna Ruckhaus , Eduardo Ruiz , Maria-Esther Vidal

Query optimization has been studied using machine learning, reinforcement learning, and, more recently, graph-based convolutional networks. Ontology, as a structured, information-rich knowledge representation, can provide context,…

Databases · Computer Science 2025-11-11 Songhui Yue , Yang Shao , Sean Hayes

We propose a novel database model whose basic structure is a labeled, directed, acyclic graph with a single root, in which the nodes represent the data sets of an application and the edges represent functional relationships among the data…

Databases · Computer Science 2024-07-01 Nicolas Spyratos

Data quality assessment and data cleaning are context-dependent activities. Motivated by this observation, we propose the Ontological Multidimensional Data Model (OMD model), which can be used to model and represent contexts as logic-based…

Databases · Computer Science 2017-08-15 Leopoldo Bertossi , Mostafa Milani

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

This works considers challenges of building and usage a formal knowledge base (model), which unites the ATT&CK, CAPEC, CWE, CVE security enumerations. The proposed model can be used to learn relations between attack techniques, attack…

Cryptography and Security · Computer Science 2021-12-09 Andrei Brazhuk

We introduce a first-order theory $\mathsf{Seq}$ which is mutually interpretable with Robinson's $\mathsf{Q}$. The universe of a standard model for $\mathsf{Seq}$ consists of sequences. We prove that $\mathsf{Seq}$ directly interprets the…

Logic · Mathematics 2024-02-23 Lars Kristiansen , Juvenal Murwanashyaka

In the paper a new approach to data representation and manipulation is described, which is called the concept-oriented data model (CODM). It is supposed that items represent data units, which are stored in concepts. A concept is a…

Databases · Computer Science 2008-01-03 Alexandr Savinov

We describe Query Defunctionalization which enables off-the-shelf first-order database engines to process queries over first-class functions. Support for first-class functions is characterized by the ability to treat functions like regular…

Databases · Computer Science 2013-08-02 Torsten Grust , Alexander Ulrich

We study relationship between first order multiplicative linear logic (MLL1), which has been known to provide representations to different categorial grammars, and the recently introduced extended tensor type calculus (ETTC). We identify a…

Computation and Language · Computer Science 2022-01-03 Sergey Slavnov

OWL (Web Ontology Language) ontologies which are able to formally represent complex knowledge and support semantic reasoning have been widely adopted across various domains such as healthcare and bioinformatics. Recently, ontology…

Artificial Intelligence · Computer Science 2025-07-22 Hui Yang , Jiaoyan Chen , Yuan He , Yongsheng Gao , Ian Horrocks

The semantic web has received many contributions of researchers as ontologies which, in this context, i.e. within RDF linked data, are formalized conceptualizations that might use different protocols, such as RDFS, OWL DL and OWL FULL. In…

Artificial Intelligence · Computer Science 2017-10-30 Renato Fabbri

Current best performing models for knowledge graph reasoning (KGR) introduce geometry objects or probabilistic distributions to embed entities and first-order logical (FOL) queries into low-dimensional vector spaces. They can be summarized…

Artificial Intelligence · Computer Science 2023-04-21 Xueyuan Lin , Haihong E , Gengxian Zhou , Tianyi Hu , Li Ningyuan , Mingzhi Sun , Haoran Luo

In this paper we address an issue that has been brought to the attention of the database community with the advent of the Semantic Web, i.e. the issue of how ontologies (and semantics conveyed by them) can help solving typical database…

Logic in Computer Science · Computer Science 2010-03-15 Francesca A. Lisi

This paper extends implication-space semantics to include first-order quantification. Implication-space semantics has recently been introduced as an inferentialist formal semantics that can capture nonmonotonic and nontransitive material…

Logic · Mathematics 2026-02-17 Ulf Hlobil