\input zb-basic \input zb-ioport \iteman{io-port 05916993} \itemau{Meier, Arne; Schneider, Thomas} \itemti{Generalized satisfiability for the description logic ALC (extended abstract).} \itemso{Ogihara, Mitsunori (ed.) et al., Theory and applications of models of computation. 8th annual conference, TAMC 2011, Tokyo, Japan, May 23--25, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-20876-8/pbk). Lecture Notes in Computer Science 6648, 552-562 (2011).} \itemab Summary: 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. \itemrv{~} \itemcc{} \itemut{} \itemli{doi:10.1007/978-3-642-20877-5\_53} \end