Computer Science – Logic in Computer Science
Scientific paper
2011-03-04
Computer Science
Logic in Computer Science
Technical Report with complete Proofs, Conference Version appeared in TAMC2011
Scientific paper
The standard reasoning problem, concept satisfiability, in the basic description logic ALC is PSPACE-complete, and it is EXPTIME-complete in the presence of unrestricted axioms. Several fragments of ALC, notably logics in the FL, EL, and DL-Lite families, have an easier satisfiability problem; sometimes it is even tractable. We classify the complexity of the standard satisfiability problems for all possible Boolean and quantifier fragments of ALC in the presence of general axioms.
Meier Arne
Schneider Thomas
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