We propose a uniform semantic framework for interpreting probabilistic concept subsumption and probabilistic role quantification through statistical sampling distributions. This general semantic principle serves as the foundation for the development of a probabilistic version of the guarded fragment of first-order logic. A characterization of equivalence in that logic in terms of bisimulations is given.
|Journal||International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems|
|Number of pages||17|
|Publication status||Published - 2006|