@inproceedings{milch2005blog, author = {Milch, Brian and Marthi, Bhaskara and Russell, Stuart and Sontag, David and Ong, Daniel L. and Kolobov, Andrey}, title = {BLOG: Probabilistic Models with Unknown Objects}, booktitle = {IJCAI 2005}, year = {2005}, month = {July}, abstract = {This paper introduces and illustrates BLOG, a formal language for defining probability models over worlds with unknown objects and identity uncertainty. BLOG unifies and extends several existing approaches. Subject to certain acyclicity constraints, every BLOG model specifies a unique probability distribution over first-order model structures that can contain varying and unbounded numbers of objects. Furthermore, complete inference algorithms exist for a large fragment of the language. We also introduce a probabilistic form of Skolemization for handling evidence.}, url = {http://approjects.co.za/?big=en-us/research/publication/blog-probabilistic-models-unknown-objects-2/}, }