TITLE:
A Comparison of Paraconsistent Description Logics
AUTHORS:
Norihiro Kamide
KEYWORDS:
Paraconsistent Description Logic; Paraconsistent Semantics; Four-Valued Semantics; Quasi-Classical Semantics; Single-Interpretation Semantics; Dual-Interpretation Semantics
JOURNAL NAME:
International Journal of Intelligence Science,
Vol.3 No.2,
April
30,
2013
ABSTRACT: Description logics (DLs) are a family of logic-based knowledge representation formalisms with a number of computer science applications. DLs are especially well-known to be valuable for obtaining logical foundations of web ontology languages (e.g., W3C’s ontology language OWL). Paraconsistent (or inconsistency-tolerant) description logics (PDLs) have been studied to cope with inconsistencies which may frequently occur in an open world. In this paper, a comparison and survey of PDLs is presented. It is shown that four existing paraconsistent semantics (i.e., four-valued semantics, quasi-classical semantics, single-interpretation semantics and dual-interpretation semantics) for PDLs are essentially the same semantics. To show this, two generalized and extended new semantics are introduced, and an equivalence between them is proved.