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[protege-owl] Shiq

Thomas Schneider schneidt at
Mon Jan 18 06:58:37 PST 2010

Yes, the DL complexity navigator (Fariz's link) is very helpful when  
it comes to playing with different description logics (DLs), their  
expressive features, and the question whether reasoning in them is  
difficult or possible at all.

SHIQ is an extension of the basic DL called ALC. Fariz's account is  
correct AFAICT, but I would like to translate that into OWL-speak:  
Strictly speaking, the letter "S" stands for "ALC plus transitive  
roles", where "transitive roles" means that axioms declaring an  
abstract role (object property) to be transitive. Other means of  
expressivity are

H: sub property axioms involving object properties
R: sub property axioms involving object properties where the left-side  
can be a property chain
I: inverse object properties
Q: min, max, exact cardinality restrictions
O: nominals
(D): datatypes and corresponding expressions are allowed

OWL 1.1 was approximately SHOIQ(D), and OWL 2 DL is SROIQ(D) with some  
global restrictions so as not to lose decidability. The OWL side of  
this story can be found in the OWL specification [1], the DL side in  
the DL handbook [2].



[2] F. Baader et al., The Description Logic Handbook, 2nd edition,  
Cambridge University Press, 2007.

On 18 Jan 2010, at 14:32, fariz darari wrote:

> hi faraz, i believe that SHIQ stands for:
> S = Role transitivity
> H = Role hierarchy
> I = role inverses
> Q = qualified number restrictions
> i get that from
> hope it will be helpful :)
> cheers,
> Fariz Darari
> On Mon, Jan 18, 2010 at 4:37 PM, Faraz Fallahi <faraz.fallahi at 
> > wrote:
> hi,
> can anybody tell me for what SHIQ stands?
> greetings fa
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