Re: Cardinality in the open world

On 10 Apr 2005, at 06:02, Bijan Parsia wrote:
> Remember that datalog's decision procedure is polynominal whereas OWL 
> DL's is NEXPTIME and OWL Full is doesn't *have* a decision procedure 
> (i.e., it's only semi-decidable). You ain't going to shoehorn the 
> latter into the former without a trim...with a sledgehammer :)

I like to be pedantic :-)
Query answering in datalog is polynomial in data complexity (i.e., wrt 
the dimension of the extensional DB), but it is EXPTIME-complete in 
combined complexity (i.e., wrt the dimension of the whole knowledge 
base).
Instance checking in OWL-Lite is NP-complete (recent result by Boris 
Motik) in data compexity, while it is EXPTIME-complete in combined 
complexity. Instance checking in OWL-DL is NEXPTIME-complete in 
combined complexity, but as far as I know, the data complexity is still 
unknown.
As a matter of fact, Boris just proposes to reduce SHIQ to 
deterministic disjunctive datalog.

cheers
--e.

Received on Thursday, 14 April 2005 14:28:19 UTC