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Author, Editor

Author(s):

Ohlbach, Hans Jürgen
Schmidt, Renate A.
Hustadt, Ullrich

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Editor(s):

Borgida, A.
Lenzerini, M.
Nardi, D.
Nebel, B.

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BibTeX cite key*:

OhlbachSchmidtHustadt95b

Title, Booktitle

Title*:

Symbolic Arithmetical Reasoning with Qualified Number Restrictions

Booktitle*:

Proceedings of International Workshop on Description Logics'95

Event, URLs

URL of the conference:


URL for downloading the paper:


Event Address*:

Rome, Italy

Language:

English

Event Date*
(no longer used):

June 2-3, 1995

Organization:


Event Start Date:

19 November 2019

Event End Date:

19 November 2019

Publisher

Name*:

Dipartimento di Informatica e Sistemistica, Univ. degli studia di Roma

URL:


Address*:

Rome

Type:


Vol, No, Year, pp.

Series:

Rap.

Volume:


Number:

07.95

Month:

May

Pages:

89-95

Year*:

1995

VG Wort Pages:


ISBN/ISSN:


Sequence Number:


DOI:




Note, Abstract, ©


(LaTeX) Abstract:

Many inference systems used for concept description logics are
constraint systems that employ tableaux methods.
These have the disadvantage that for reasoning with qualified number
restrictions $n$ new constant symbols are generated for each
concept of the form $(\geq n \ R \ C)$.
In this paper we present an alternative method that avoids the
generation of constants and uses a restricted form of symbolic
arithmetic considerably different from the tableaux method.
The method we use is introduced in
Ohlbach, Schmidt and Hustadt (1995) for reasoning with graded
modalities.
We exploit the exact correspondence between the concept description
language $\cal ALCN$ and the multi-modal version of the
graded modal logic $\overline{\mbox{\bf K}}$ and show how the method
can be applied to $\cal ALCN$ as well.

This paper is a condensed version of Ohlbach et al.\ (1995).
We omit proofs and much of the technical details, but we
include some examples.

Keywords:

KL-ONE-type knowledge representation, correspondence problem, functional semantics, symbolic arithmetical reasoning, theorem proving, graded modal logic, non-classical logics, theory resolution, transformation to many-sorted logic, quantifier elimination, ALCN

HyperLinks / References / URLs:

This paper is a condensed version of Ohlbach et al.\ (1995), Translating Graded Modalities into Predicate Logic, MPII Research Report 95-2-008



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Access Level:


Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Programming Logics Group

Audience:

experts only

Appearance:

MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat



BibTeX Entry:

@INPROCEEDINGS{OhlbachSchmidtHustadt95b,
AUTHOR = {Ohlbach, Hans J{\"u}rgen and Schmidt, Renate A. and Hustadt, Ullrich},
EDITOR = {Borgida, A. and Lenzerini, M. and Nardi, D. and Nebel, B.},
TITLE = {Symbolic Arithmetical Reasoning with Qualified Number Restrictions},
BOOKTITLE = {Proceedings of International Workshop on Description Logics'95},
PUBLISHER = {Dipartimento di Informatica e Sistemistica, Univ. degli studia di Roma},
YEAR = {1995},
NUMBER = {07.95},
PAGES = {89--95},
SERIES = {Rap.},
ADDRESS = {Rome, Italy},
MONTH = {May},
}


Entry last modified by Renate A. Schmidt, 03/12/2010
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Editor(s)
Renate A. Schmidt
Created
06/30/1995 07:55:41 PM
Revisions
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Editor(s)
Renate A. Schmidt
Renate A. Schmidt
Renate A. Schmidt
Uwe Brahm/MPII/DE
Uwe Brahm/MPII/DE
Edit Dates
05/05/97 16:04:30
18/04/97 17:14:43
14/04/97 14:27:42
02/06/96 05:22:36 PM
05/02/96 16:24:36