[关键词]
[摘要]
使用归纳过程说明算法的演化,建立了一阶语言语句集和算法的关系,并提出了启发式的归纳规则.还提出了算法分析的概率式研究方法.这种方法为有效算法的设计和自动算法设计提供了工具.
[Key word]
[Abstract]
The inductive process is used to specify the evolution of algorithm in this paper. The relationship between a set of sentences of first-order language and an algorithm is established and inductive rules for heuristics are presented. A probabilistic approach to algorithm analysis is also presented. This approach provides a tool for design of efficient algorithm and automatic algorithm design.
[中图分类号]
[基金项目]
This project is supported by the National Natural Science Foundation of China under Grant No.19992895 (国家自然科学基金).