@conference{237, author = {Leonard Botha and Thomas Meyer and Rafael PeƱaloza}, title = {A Bayesian Extension of the Description Logic ALC}, abstract = {Description logics (DLs) are well-known knowledge representation formalisms focused on the representation of terminological knowledge. A probabilistic extension of a light-weight DL was recently proposed for dealing with certain knowledge occurring in uncertain contexts. In this paper, we continue that line of research by introducing the Bayesian extension BALC of the DL ALC. We present a tableau based procedure for deciding consistency, and adapt it to solve other probabilistic, contextual, and general inferences in this logic. We also show that all these problems remain ExpTime-complete, the same as reasoning in the underlying classical ALC.}, year = {2019}, journal = {European Conference on Logics in Artificial Intelligence}, chapter = {339 - 354}, month = {07/05 - 11/05}, publisher = {Springer}, address = {Switzerland}, isbn = {978-3-030-19569-4}, url = {https://link.springer.com/chapter/10.1007%2F978-3-030-19570-0_22}, doi = {https://doi.org/10.1007/978-3-030-19570-0 _ 22}, }