DESCRIPTION OF STRUCTURES OF STOCHASTIC CONDITIONAL INDEPENDENCB BY MEANS OF FACES AND IMSETS 3rd part: examples of use and appendices'

Local Abstract (3rd part) Thís part contains several examples that illustrate the implementation oí the facial deductive mechanism and show how to transform information about conditional independence structure given in the form of dependency models, Bayesian or Markov networks into imsets. Another example indicates that the ťacial deductive mechanism is indeed more powerful than the semigraphoid one. A simple method of proving the probabilistic soundness of an inference rule is presented" Two appendices contain some supplementary resu|ts about the structural ordering of imsets. The advantáges and disadvantages of and prospects íor the presented approach are discussed in the Conclusions.