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Probabilistic Reasoning in Intelligent Systems by Judea Pearl

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Chapter 10

LOGIC AND PROBABILITY

THE STRANGE CONNECTION

Publisher Summary

This chapter explores the use of probability theory as a semantic basis for default reasoning. It presents an adaptation of Adams’s logic of conditionals, which interprets defaults as conditional probability statements, infinitesimally removed from 0 or 1. This interpretation yields a system of defeasible inference with unique features. The system makes a formal distinction between exceptions, ambiguities, and inconsistencies, and offers systematic methods of maintaining consistency in databases containing defaults. Multiple extensions do not arise, and preferences among arguments are derived by natural deduction. There is no need to specify abnormality relations in ...

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