Abstract

Some artificial intelligence problems including such ones as pattern recognition, medical diagnostics, market analysis is reduced to the proof of satisfi\-abi\-li\-ty of predicate calculus formulas with a symple structure. Some algorithms solving such problems are regarded and the upper bounds of their steps are proved.

Highlights

  • For problems permitting their formalization in predicate calculus language

  • their negations which are valid for parts of the object

  • the following problems are considered in the paper

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Summary

Introduction

Что, вообще говоря, доказательство следования формулы ∃xA(x) из списка других формул не обеспечивает www.proceedings.spiiras.nw.ru нахождения тех значений x, для которых A(x) верна при сформулированных условиях. Если m максимальное число переменных в элементарных конъюнкциях, входящих в целевые формулы, то при использовании алгоритма полного перебора число шагов решения любой из сформулированных выше задач составляет

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