论文信息 - A Note on Probabilistic Logic

A Note on Probabilistic Logic

This paper answers a question posed by Nils Nilsson in his paper [9] on Probabilistic Logic: When is the maximum entropy solution to the entailment problem equal to the solution obtained by the projection method? Conditions are given for the relevant matrices and vectors which can be tested without actually computing the two solutions and comparing them. Examples are discussed and some comments made concerning the use and computational problems of probabilistic logic.

Mary McLeish

[1] Nils J. Nilsson,et al. Probabilistic Logic * , 2022 .

[2] Peter C. Cheeseman,et al. A Method of Computing Generalized Bayesian Probability Values for Expert Systems , 1983, IJCAI.

[3] Mary McLeish,et al. Probabilistic Logic: Some Comments and Possible use for Nonmonotonic Reasoning , 1988, UAI 1988.

[4] Mary McLeish. Nilsson's Probabilistic Entailment Extended to Dempster-Shafer Theory , 1987, UAI.

[5] Calyampudi R. Rao,et al. Linear Statistical Inference and Its Applications. , 1975 .

[6] RICHARD 0. DUDA,et al. Subjective bayesian methods for rule-based inference systems , 1899, AFIPS '76.