An Inductive Inference Procedure to Minimize Prediction Error

Considering inductive inference and deductive inference as not individual processes but a serial process of information processing, the serial inference procedure is studied from two purposes: one is the compression of observed facts, and the other is the prediction of new wffs. A new scheme of the serial inference process is proposed by using the correspondence to source coding and prediction problem. The optimal inference procedures for the two purposes are shown in the proposed scheme.