Reasoning with Concrete Domains

نویسنده

  • Carsten Lutz
چکیده

Description logics are formalisms for the represen­ tation of and reasoning about conceptual knowl­ edge on an abstract level. Concrete domains allow the integration of description logic reasoning with reasoning about concrete objects such as numbers, time intervals, or spatial regions. The importance of this combined approach, especially for building real-world applications, is widely accepted. How­ ever, the complexity of reasoning with concrete do­ mains has never been formally analyzed and effi­ cient algorithms have not been developed. This pa­ per closes the gap by providing a tight bound for the complexity of reasoning with concrete domains and presenting optimal algorithms.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Reasoning in ALC with Fuzzy Concrete Domains

In the context of Description Logics (DLs) concrete domains allow to model concepts and facts by the use of concrete values and predicates between them. For reasoning in the DL ALC with general TBoxes concrete domains may cause undecidability. Under certain restrictions of the concrete domains decidability can be regained. Typically, the concrete domain predicates are crisp, which is a limitati...

متن کامل

The Complexity of Reasoning with ConcreteDomainsCarsten

Description logics are knowledge representation and reasoning formalisms which represent conceptual knowledge on an abstract logical level. Concrete domains are a theoretically well-founded approach to the integration of description logic reasoning with reasoning about concrete objects such as numbers, time intervals or spatial regions. In this paper, the complexity of combined reasoning with d...

متن کامل

A Tableau Algorithm for Description Logics with Concrete Domains and GCIs

In description logics (DLs), concrete domains are used for defining concepts based on concrete qualities of their instances such as the weight, age, duration, and spatial extension. So-called general concept inclusions (GCIs) play an important role for capturing background knowledge. It is well-known that, when combining concrete domains with GCIs, reasoning easily becomes undecidable. In this ...

متن کامل

Reasoning in Description Logics with a Concrete Domain in the Framework of Resolution

In description logics, concrete domains are used to model concrete properties such as weight, name, or age, having concrete values such as integers or strings, with built-in predicates, such as ≤ or =. Until now, reasoning with concrete domains has been studied predominantly in the context of tableaux and automata calculi. In this paper, we present a general approach for concrete domain reasoni...

متن کامل

Decidability of ALC(D) for concrete domains with the EHD-property

Reasoning for Description logics with concrete domains and w.r.t. general TBoxes easily becomes undecidable. For particular, restricted concrete domains decidablity can be regained. We introduce a novel way to integrate a concrete domain D into the well-known description logic ALC, we call the resulting logic ALC(D). We then identify sufficient conditions on D that guarantee decidability of the...

متن کامل

ذخیره 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 نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999