引用本文:刘剑,林惠民.谓词μ演算和模态图的语义一致性.软件学报,2003,14(10):1672-1680
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谓词μ演算和模态图的语义一致性
刘剑1, 林惠民1
中国科学院,软件研究所,计算机科学重点实验室,北京,100080
摘要:
模态图是谓词μ演算的一种有效的图形表示形式.证明了谓词μ演算和模态图的语义一致性,详细讨论了谓词μ演算公式、嵌套谓词等式系和模态图之间的关系,并给出了一种优化的从线性公式到嵌套谓词等式系的转换算法.
关键词:  不动点  谓词μ演算  嵌套谓词等式系  模态图
DOI:
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基金项目:Supported by the National Natural Science Foundation of China under Grant No.69833020 (国家自然科学基金)
Consistency Between the Predicate μ-Calculus and Modal Graphs
LIU Jian,LIN Hui-Min
Abstract:
The modal graphs are effective graph forms for the predicate μ-calculus. The consistency between the predicate μ-calculus and the modal graphs is strictly established. Moreover, the relationship among the predicate μ-calculus, nested predicate equations and the modal graphs is discussed in detail. An optimized transformation algorithm from predicate μ-calculus formulae to nested predicate equations is presented.
Key words:  fixed-point  predicate μ-calculus  nested predicate equation  modal graph