定理证明中的单位偏好策略

L. Wos, D. Carson, G. Robinson
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引用次数: 138

摘要

本文所描述的算法和策略所应用的定理、公理等,都是用一种标准的形式来表述的,其定义如下:在适当数量的参数(常量、变量或借助函数符号形成的表达式)前加上谓词字母的前缀,然后在谓词字母之前可能写一个否定符号(-),从而形成文字。例如:P(b, x) -P(b, x) Q(y) R(a, b, x, z, c)如果P、Q、R和S分别是两位、一位、五位和零位谓词字母,则P(b, x) -P(y) R(a, b, x, z, c) S都是字面量。谓语字母通常被认为代表某个n位关系。那么文字P(a, b),例如,被认为是在说有序对(a, b)具有属性P,文字-P(a, b)被认为是在说(a, b)不具有属性P。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The unit preference strategy in theorem proving
Unit Preference and Set of Support Strategies The theorems, axioms, etc., to which the algorithm and strategies described in this paper are applied are stated in a normal form defined as follows: A literal is formed by prefixing a predicate letter to an appropriate number of arguments (constants, variables, or expressions formed with the aid of function symbols) and then perhaps writing a negation sign (-) before the predicate letter. For example: P(b, x) -P(b, x) Q(y) R(a, b, x, z, c) S are all literals if P, Q, R, and S are two-, one-, five-, and zero-place predicate letters, respectively. The predicate letter is usually thought of as standing for some n-place relation. Then the literal P(a, b), for example, is thought of as saying that the ordered pair (a, b) has the property P. The literal -P(a, b) is thought of as saying that (a, b) does not have the property P.
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