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The paper presents a method o f logical reasoning in knowledge bases with uncer­ tainty; such a knowledge base is given by a set o f ”knowledges” o f two following forms: (1) < S, I > where S is a sentence, and I C [0,1] is an interval o f the possible values f o r truth probability o f S. (2) < S i , h > A < So, h > A • • • A < S„, /„ >-^< S , I >, where S i , . . . , S n, S are sentences, and are the corresponding intervals o f their truth probabilities. Let B be a such knowledge base, and S be a goal sentence. The interval o f truth probabilities o f S derived from B can be found by the proposed method.

Reasoning in knowledge bases with external and internal uncertainties