(Hyper)sequent Calculi for the ALC(S4) description logics



Document title: (Hyper)sequent Calculi for the ALC(S4) description logics
Journal: Computación y sistemas
Database: PERIÓDICA
System number: 000408049
ISSN: 1405-5546
Authors: 1
2
1
1
Institutions: 1Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias Físico Matemáticas, Puebla. México
2Universidad Veracruzana, Jalapa, Veracruz. México
Year:
Season: Ene-Mar
Volumen: 20
Number: 1
Pages: 67-79
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, aplicado
English abstract Description logics (DL) form a well known family of knowledge representation languages. One of its main applications is on the Semantic Web as a reasoning framework in the form of the Ontology Web Language (OWL). In this paper, we propose a cut-free tree hypersequent calculus for terminological reasoning in the Description Logic ALC. We show the calculus is sound and complete. Also, an implementation is provided together with a complexity analysis. In addition, we also describe a cut-free sequent calculus for the description logic ALC with reflexive and transitive roles. Soundness and completeness are proven, and a complexity analysis and an implementation are also provided
Disciplines: Ciencias de la computación,
Filosofía,
Matemáticas
Keyword: Inteligencia artificial,
Lógica,
Matemáticas aplicadas,
Semántica,
Lenguaje,
Lógica matemática,
Representación del conocimiento,
Razonamiento automatizado
Keyword: Computer science,
Philosophy,
Mathematics,
Artificial intelligence,
Logic,
Applied mathematics,
Knowledge representation,
Language,
Mathematical logic,
Automated reasoning
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