摘要
一阶语言是自然语言(特别的数学语言)的一种形式化体系,引入不同的连接词、量词、个体变元、谓词、个体常元、关系符号便有了不同的表达式.笔者讨论了一阶形式系统KL中一组形式相近公式(任意xi)A(xi),A(xi),( xi)A(xf),A(t),A(ai)之间的关系.从而可以更方便从语义和语构两方面研究一阶语言.
First- order language is one formal system of nature language (specially mathematic language). The introduction of different connectives, quantifiers, individual variables, predicates, individual constants, and relations conforms to have a different expression. The relations among some similar formulas such as ( xi )A (xi), A (xi), ( xi ) A ( xi ) ,A ( t), A ( ai ) in the formal deductives system KL are discussed. The research of first - order language depends on semantics and syntactic could be done more easily.
出处
《山东师范大学学报(自然科学版)》
CAS
2010年第3期29-31,共3页
Journal of Shandong Normal University(Natural Science)
基金
山东省自然科学基金资助项目(Y2000A05).
关键词
一阶形式系统KL
逻辑有效公式
完备性
关系
first - order formal system KL
logically efficient formula
completeness
relation