On Rational Closure in Description Logics of Typicality
نویسندگان
چکیده
We define the notion of rational closure in the context of Description Logics extended with a tipicality operator. We start from ALC +T, an extension of ALC with a typicality operator T : intuitively allowing to express concepts of the form T(C), meant to select the “most normal” instances of a concept C. The semantics we consider is based on rational model. But we further restrict the semantics to minimal models, that is to say, to models that minimise the rank of domain elements. We show that this semantics captures exactly a notion of rational closure which is a natural extension to Description Logics of Lehmann and Magidor’s original one. We also extend the notion of rational closure to the Abox component. We provide an EXPTIME algorithm for computing the rational closure of an Abox and we show that it is sound and complete with respect to the minimal model semantics.
منابع مشابه
An Efficient Reasoner for Description Logics of Typicality and Rational Closure
In this work we present RAT-OWL, a Protégé 4.3 Plugin for reasoning about typicality in preferential Description Logics. RAT-OWL allows the user to reason in a nonmonotonic extension of Description Logics based on the notion of “rational closure”. This logic extends standard Description Logics in order to express “typical” properties, that can be directly specified by means of a typicality oper...
متن کاملRAT-OWL: Reasoning with Rational Closure in Description Logics of Typicality
We present RAT-OWL, a software system for reasoning about typicality in preferential Description Logics. It is implemented in the form of a Protégé 4.3 Plugin and it allows the user to reason in a nonmonotonic extension of Description Logics based on the notion of “rational closure”. This logic extends standard Description Logics in order to express “typical” properties, that can be directly sp...
متن کاملMaking Quantification Relevant Again
Defeasible Description Logics (DDLs) extend Description Logics with defeasible concept inclusions. Reasoning in DDLs often employs rational or relevant closure according to the (propositional) KLM postulates. If in DDLs with quantification a defeasible subsumption relationship holds between concepts, this relationship might also hold if these concepts appear in existential restrictions. Such ne...
متن کاملMinimal Model Semantics and Rational Closure in Description Logics
We define the notion of rational closure in the context of Description Logics. We start from an extension of ALC with a typicality operator T allowing to express concepts of the form T(C), whose meaning is to select the “most normal” instances of a concept C. The semantics we consider is based on rational models and exploits a minimal models mechanism based on the minimization of the rank of do...
متن کاملMaking Quantification Relevant Again - the Case of Defeasible EL_\bot
Defeasible Description Logics (DDLs) extend Description Logics with defeasible concept inclusions. Reasoning in DDLs often employs rational or relevant closure according to the (propositional) KLM postulates. If in DDLs with quantification a defeasible subsumption relationship holds between concepts, this relationship might also hold if these concepts appear in existential restrictions. Such ne...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/1305.1060 شماره
صفحات -
تاریخ انتشار 2013