Location
Toggle navigation
HOME
INSTITUTE
Mission
Address
Executive Board
Scientific Members of MPG
Scientific Advisory Board
Board of Trustees
NEWS
Latest
Press Releases
Awards
Spotlights
Campus Event Calendar
25th Anniversary
30th Anniversary
Employment
DEPARTMENTS
Algorithms & Complexity
Computer Vision and Machine Learning
Internet Architecture
Computer Grapics
Databases and Information Systems
Visual Computing and Artificial Intelligence
Automation of Logic
Network and Cloud Systems
Multimodal Language Processing
PUBLICATIONS
Algorithms & Complexity
Computer Vision and Machine Learning
Internet Architecture
Computer Graphics
Databases and Information Systems
Visual Computing and Artificial Intelligence
Research Group Computational Biology
Automation of Logic
Network and Cloud Systems
Research Reports
Scientific Advisory Board
Curatorship Board
25th anniversary
IMPRS-CS
PEOPLE
SOFTWARE
SERVICES
Joint Central Services
Joint Administration
- Library
- International Office
Joint Scientific IT and Technical Services
- Building and Technical Support
Research Coordination
Representative for Equal Opportunities
- Equal Opportunities
Representative for Severely Disabled Persons
Representative for Safety
Ombudsperson for
Good Scientific Practice
and Doctoral Research
Company Physician
CS@MPG
CS@SAAR
Saarland Informatics Campus
Computer Science Department,
Saarland University
Max Planck Institute for
Software Systems (MPI-SWS)
German Center for
Artificial Intelligence (DFKI)
Center for Security, Privacy
and Accountability (CISPA)
VIA - Saarbrücken Center for
Visual Computing, Interaction
and Artificial Intelligence
Graduate School for
Computer Science
Cluster of Excellence (MMCI)
Max Planck Center for Visual
Computing and Communication
Kaiserslautern-Saarbrücken
Computer Science Cluster
IT Incubator
Publications
Home
Intranet
Server
halma.mpi-inf.mpg.de
Proceedings Article, Paper
@InProceedings
Beitrag in Tagungsband, Workshop
Author, Editor
Author(s):
Ohlbach, Hans Jürgen
Schmidt, Renate A.
Hustadt, Ullrich
dblp
dblp
dblp
Editor(s):
Borgida, A.
Lenzerini, M.
Nardi, D.
Nebel, B.
dblp
dblp
dblp
dblp
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
Conference URL::
Downloading URL:
Event Address*:
Rome, Italy
Language:
English
Event Date*
(no longer used):
June 2-3, 1995
Organization:
Event Start Date:
21 May 2024
Event End Date:
21 May 2024
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
Download
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
Edit History (please click the blue arrow to see the details)
Edit History (please click the blue arrow to see the details)
Editor(s)
Renate A. Schmidt
Created
06/30/1995 07:55:41 PM
Revisions
8.
7.
6.
5.
4.
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