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Excerpt from "Exploring Artificial Intellioence· Survey Talks from the National Conferences.on Artificial Intelligence!' Ed. H. Shrobe, Morgan-Kaufmann, 1988. Chapter 10 Evidential Reasoning Under Uncertainty Judea Pearl Cognitive Systems Laboratory Computer Science Department University of California, Los Angeles 1 Introduction 1.1 Overview One can hardly identify a field in AI that doesn't use some sort of evidential reasoning. namely, processes leading from evidence or clues to guesses and conclusions under conditions of partial information. Therefore, to avoid having to cover the entire field of AI, the topic will be limited to evidential reasoning tasks in which the uncertainty is given a specific notation, namely, it is repre sented explicitly by some sort of measure or degree. Constrained by this guideline, I will not be able to give a full account of the heuristic approaches to evidential reasoning [Cohen, 1985; Clancey, 1985) nor to works in truth-maintenance systems and nonmonotonic reasoning that, essentially, address the same sort of problems. The latter are given full cover age by other surveys (sec this volume), and will only be touched on briefly to point out their fundamental ties to other formalisms. 381 TECHNICAL REPORT R-107-S