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We introduce an extension of the n-ary description logic DLR to deal with attribute-labelled tuples (generalising the positional notation), with arbitrary projections of relations (inclusion dependencies), generic functional dependencies…

Artificial Intelligence · Computer Science 2016-04-05 Alessandro Artale , Enrico Franconi

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

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

In this paper syntactic objects---concept constructors called part restrictions which realize rational grading are considered in Description Logics (DLs). Being able to convey statements about a rational part of a set of successors, part…

Logic in Computer Science · Computer Science 2019-05-27 Mitko Yanchev

We characterize the expressive power of description logic (DL) TBoxes, both for expressive DLs such as ALC and ALCQIO and lightweight DLs such as DL-Lite and EL. Our characterizations are relative to first-order logic, based on a wide range…

Logic in Computer Science · Computer Science 2011-04-18 Carsten Lutz , Robert Piro , Frank Wolter

Many ontologies, i.e., Description Logic (DL) knowledge bases, have been developed to provide rich knowledge about various domains. An ontology consists of an ABox, i.e., assertion axioms between two entities or between a concept and an…

Artificial Intelligence · Computer Science 2022-08-17 Zhenwei Tang , Shichao Pei , Xi Peng , Fuzhen Zhuang , Xiangliang Zhang , Robert Hoehndorf

Description logics (DLs) are well-known knowledge representation formalisms focused on the representation of terminological knowledge. Due to their first-order semantics, these languages (in their classical form) are not suitable for…

Logic in Computer Science · Computer Science 2020-09-29 Leonard Botha , Thomas Meyer , Rafael Peñaloza

This paper proposes a connection method \`a la Bibel for an exception-tolerant family of description logics (DLs). As for the language, we assume the DL $\mathcal{ALCH}$ extended with two typicality operators: one on (complex) concepts and…

Logic in Computer Science · Computer Science 2023-06-23 Renan Fernandes , Fred Freitas , Ivan Varzinczak , Pedro PM Farias

State constraints in AI Planning globally restrict the legal environment states. Standard planning languages make closed-domain and closed-world assumptions. Here we address open-world state constraints formalized by planning over a…

Artificial Intelligence · Computer Science 2022-03-18 Stefan Borgwardt , Jörg Hoffmann , Alisa Kovtunova , Markus Krötzsch , Bernhard Nebel , Marcel Steinmetz

This paper offers an approach to extensible knowledge representation and reasoning for a family of formalisms known as Description Logics. The approach is based on the notion of adding new concept constructors, and includes a heuristic…

Artificial Intelligence · Computer Science 2011-05-30 A. Borgida

It is widely recognized today that the management of imprecision and vagueness will yield more intelligent and realistic knowledge-based applications. Description Logics (DLs) are a family of knowledge representation languages that have…

Artificial Intelligence · Computer Science 2011-11-02 I. Horrocks , J. Z. Pan , G. Stamou , G. Stoilos , V. Tzouvaras

We study extensions of standard description logics to the framework of polyadic modal logic. We promote a natural approach to such logics via general relation algebras that can be used to define operations on relations of all arities. As a…

Logic in Computer Science · Computer Science 2021-08-20 Jonne Iso-Tuisku , Antti Kuusisto

Terminological knowledge representation systems (TKRSs) are tools for designing and using knowledge bases that make use of terminological languages (or concept languages). We analyze from a theoretical point of view a TKRS whose…

Artificial Intelligence · Computer Science 2014-11-17 M. Buchheit , F. M. Donini , A. Schaerf

Multiple logic-based reconstructions of conceptual data modelling languages such as EER, UML Class Diagrams, and ORM exist. They mainly cover various fragments of the languages and none are formalised such that the logic applies…

Artificial Intelligence · Computer Science 2019-09-20 Pablo Rubén Fillottrani , C. Maria Keet

The aim of this paper is to show how we can handle the Recognising Textual Entailment (RTE) task by using Description Logics (DLs). To do this, we propose a representation of natural language semantics in DLs inspired by existing…

Computation and Language · Computer Science 2007-10-17 Paul Bedaride

The Semantic Web effort has steadily been gaining traction in the recent years. In particular,Web search companies are recently realizing that their products need to evolve towards having richer semantic search capabilities. Description…

Artificial Intelligence · Computer Science 2012-10-19 Thomas Lukasiewicz , Maria Vanina Martinez , Giorgio Orsi , Gerardo I. Simari

Logic-based approaches to AI have the advantage that their behavior can in principle be explained with the help of proofs of the computed consequences. For ontologies based on Description Logic (DL), we have put this advantage into practice…

Logic in Computer Science · Computer Science 2023-08-08 Christian Alrabbaa , Franz Baader , Stefan Borgwardt , Patrick Koopmann , Alisa Kovtunova

Languages models have been successfully applied to a variety of reasoning tasks in NLP, yet the language models still suffer from compositional generalization. In this paper we present Explainable Verbal Reasoner Plus (EVR+), a reasoning…

Computation and Language · Computer Science 2023-05-02 Zhengzhong Liang , Zeyu Zhang , Steven Bethard , Mihai Surdeanu

Description Logics (DLs) are suitable, well-known, logics for managing structured knowledge. They allow reasoning about individuals and well defined concepts, i.e., set of individuals with common properties. The experience in using DLs in…

Artificial Intelligence · Computer Science 2011-06-06 U. Straccia

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
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