Journal of the Interest Group in Pure and Applied Logic
A default theory can be seen as a way for representing a set of formulae, i.e., its extensions. In this paper, we characterize the sets of formulae that can be expressed by a default theory according to various semantics: justified, constrained, rational, cumulative, QDL, CADL, and two semantics with priorities. These characterizations imply some non-translatability results between semantics.
@article{libe-05-f, title = {Representability in Default Logic}, year = {2005}, author = {Liberatore, Paolo}, journal = {Journal of the Interest Group in Pure and Applied Logic}, pages = {335-351}, number = {3}, volume = {13}, }HTTP download.