Probabilistic logic

✍ Scribed by Nils J. Nilsson

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 821 KB
• Volume: 28
• Category: Article
• ISSN: 0004-3702
• DOI: 10.1016/0004-3702(86)90031-7

✦ Synopsis

Because many artificial intelligence applications require the ability to reason with uncertain knowledge, it is important to seek appropriate generalizations of logic for that case. We present here a semantical generalization of logic in which the truth values of sentences are probabili~ values (between 0 and 1). Our generalization applies to any logical system for which the consistency of a finite set of sentences can be established. The method described in the present paper combines logic with probability theory in such a way that probabilistic logical entaihnent reduces to ordinary logical entailment when the probabilities of all sentences are either 0 or 1.