[DL] problem with negated roles of SROIQ

Thomas Schneider schneidt at cs.man.ac.uk
Mon Jul 19 13:31:50 CEST 2010

Hi Nurmamat,

when you say "negated role provided by SROIQ", you probably mean the  
feature of negated role assertions? These are restricted to ABoxes,  
i.e., you can say that a pair (a,b) of individuals is not connected  
via a role R.

However, this does not seem sufficient to define your class A. I  
believe there is no way to exactly define that class in SROIQ, but  
depending on what you want to do with A, you can try some workarounds.  
Since your definition of A is ambiguous -- do I assume correctly that  
you want to express

   A=\{x| *there exists a y such that* (x,y) \in \neg R \wedge y \in C  

and that $neg R$ refers to the set of all pairs of individuals that  
are not in R? Then you could define a new role S to be disjoint to R,  
which would imply that S is subsumed by $\neg R$. Now if you define  
the class A' to be equivalent to $\exists S.C$, you would get that A'  
is a subclass of A. Perhaps this already suffices for what you want to  



On 29 Jun 2010, at 18:20, Nurmamat Helil wrote:

> Hi:
> I am not very familiar with DL. now I have to represent a class
> $A=\{x|(x,y) \in \neg R \wedge y \in C \}$ using DL
> can I use negated role provided by SROIQ.
> -- 
> Nurmamat Helil
> Postdoctoral Candidate
> School of Computer Science and Engineering
> Chung-Ang University
> Seoul, 156-756, South Korea
> Email: nurmamat at gmail.com
> ---
> **  You received this mail via the description logic mailing list;  
> for more  **
> **  information, visit the description logic homepage at http://dl.kr.org/ 
> .  **

|  Dr Thomas Schneider                    schneider (at) cs.man.ac.uk  |
|  School of Computer Science       http://www.cs.man.ac.uk/~schneidt  |
|  Kilburn Building, Room 2.114                 phone +44 161 2756136  |
|  University of Manchester                                            |
|  Oxford Road                                             _///_       |
|  Manchester M13 9PL                                      (o~o)       |

Kirby (n.)
   Small but repulsive piece of food prominently attached to a person's
   face or clothing.

                   Douglas Adams, John Lloyd: The Deeper Meaning of Liff

-------------- next part --------------
A non-text attachment was scrubbed...
Name: PGP.sig
Type: application/pgp-signature
Size: 203 bytes
Desc: This is a digitally signed message part
URL: <https://mailman.informatik.uni-bremen.de/pipermail/dl/attachments/20100719/06c42571/attachment.sig>

More information about the dl mailing list