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Knowledge representation and reasoning has a long history of examining how knowledge can be formalized, interpreted, and semantically analyzed by machines. In the area of automated vehicles, recent advances suggest the ability to formalize…

Artificial Intelligence · Computer Science 2022-07-06 Lukas Westhofen , Christian Neurohr , Martin Butz , Maike Scholtes , Michael Schuldes

Knowledge representation is a popular research field in IT. As mathematical knowledge is most formalized, its representation is important and interesting. Mathematical knowledge consists of various mathematical theories. In this paper we…

Logic in Computer Science · Computer Science 2016-04-01 Andrey Luxemburg

Ontologies provide a formal description of concepts and their relationships in a knowledge domain. The goal of ontology alignment is to identify semantically matching concepts and relationships across independently developed ontologies that…

Artificial Intelligence · Computer Science 2013-07-08 Chau Do , Eric J. Pauwels

Nowadays, a huge amount of knowledge has been amassed in digital agriculture. This knowledge and know-how information are collected from various sources, hence the question is how to organise this knowledge so that it can be efficiently…

Databases · Computer Science 2020-11-24 Quoc Hung Ngo , Tahar Kechadi , Nhien-An Le-Khac

Since the early twentieth century, it has been understood that mathematical definitions and proofs can be represented in formal systems systems with precise grammars and rules of use. Building on such foundations, computational proof…

History and Overview · Mathematics 2023-11-07 Jeremy Avigad

Automated decision making is often complicated by the complexity of the knowledge involved. Much of this complexity arises from the context sensitive variations of the underlying phenomena. We propose a framework for representing…

Artificial Intelligence · Computer Science 2013-03-25 Tze-Yun Leong

Ontologies are a popular way of representing domain knowledge, in particular, knowledge in domains related to life sciences. (Semi-)automating the process of building an ontology has attracted researchers from different communities into a…

Artificial Intelligence · Computer Science 2021-03-26 Ana Ozaki

The formalization of process knowledge using ontologies enables consistent modeling of parameter interdependencies in manufacturing. These interdependencies are typically represented as mathematical expressions that define relations between…

Artificial Intelligence · Computer Science 2025-06-23 Tom Jeleniewski , Hamied Nabizada , Jonathan Reif , Felix Gehlhoff , Alexander Fay

In this article we consider the basic ideas, approaches and results of developing of mathematical knowledge management technologies based on ontologies. These solutions form the basis of a specialized digital ecosystem OntoMath which…

Digital Libraries · Computer Science 2017-02-20 Alexander Elizarov , Alexander Kirillovich , Evgeny Lipachev , Olga Nevzorova

System engineering has been shifting from document-centric to model-based approaches, where assets are becoming more and more digital. Although digitisation conveys several benefits, it also brings several concerns (e.g., storage and…

Software Engineering · Computer Science 2025-12-11 Arkadiusz Ryś , Lucas Lima , Joeri Exelmans , Dennis Janssens , Hans Vangheluwe

We propose a framework grounded in Logic Programming for representing and reasoning about business processes from both the procedural and ontological point of views. In particular, our goal is threefold: (1) define a logical language and a…

Artificial Intelligence · Computer Science 2014-10-08 Fabrizio Smith , Maurizio Proietti

Ontologies provide formal representation of knowledge shared within Semantic Web applications. Ontology learning involves the construction of ontologies from a given corpus. In the past years, ontology learning has traversed through shallow…

Information Retrieval · Computer Science 2024-06-18 Rick Du , Huilong An , Keyu Wang , Weidong Liu

In this introductory article we present the basics of an approach to implementing computational interpreting of natural language aiming to model the meanings of words and phrases. Unlike other approaches, we attempt to define the meanings…

Computation and Language · Computer Science 2019-08-12 Michael Kapustin , Pavlo Kapustin

This note clarifies the concept of syntax and semantics and their relationships. Today, a lot of confusion arises from the fact that the word "semantics" is used in different meanings. We discuss a general approach at defining semantics…

Software Engineering · Computer Science 2014-09-25 Bernhard Rumpe

The recent usage of technical systems in human-centric environments leads to the question, how to teach technical systems, e.g., robots, to understand, learn, and perform tasks desired by the human. Therefore, an accurate representation of…

Artificial Intelligence · Computer Science 2020-01-16 Kristina Scharei , Florian Heidecker , Maarten Bieshaar

Simulations offer opportunities in the examination of manufacturing processes. They represent various aspects of the production process and the associated production systems. However, often a single simulation does not suffice to provide a…

Software Engineering · Computer Science 2024-11-26 Jonathan Reif , Tom Jeleniewski , Aljosha Köcher , Tim Frerich , Felix Gehlhoff , Alexander Fay

The goal is to take a closer look at progress of knowledge engineering in the field of Semantic Web. Along with theory of Knowledge Representation (KR) and knowledge processing methods such as Description Logic (DL), reasoning mechanisms…

Software Engineering · Computer Science 2015-06-18 Jarosław Waliszko

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

There has been a longstanding dispute over which formalism is the best for representing knowledge in AI. The well-known "declarative vs. procedural controversy" is concerned with the choice of utilizing declarations or procedures as the…

Artificial Intelligence · Computer Science 2024-12-31 Heng Zhang , Guifei Jiang , Donghui Quan

In order to work with mathematical content in computer systems, it is necessary to represent it in formal languages. Ideally, these are supported by tools that verify the correctness of the content, allow computing with it, and produce…

Logic in Computer Science · Computer Science 2020-05-27 Cezary Kaliszyk , Florian Rabe