| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 28, Number 6, December 2023
|
|
|---|---|---|
| Page(s) | 483 - 492 | |
| DOI | https://doi.org/10.1051/wujns/2023286483 | |
| Published online | 15 January 2024 | |
Computer Science
CLC number: TP311
Program Construction Method for Sequential Statistics Class Algorithm Based on Bidirectional Scanning Induction
1
College of Computer Information Engineering, Jiangxi Normal University, Nanchang 330022, Jiangxi, China
2
College of Software, Jiangxi Normal University, Nanchang 330022, Jiangxi, China
3
Nanchang Government Service Data Administration, Nanchang 330038, Jiangxi, China
† To whom correspondence should be addressed. E-mail: wcj771006@163.com
Received:
16
February
2023
The program construction process is based on rigorous mathematical reasoning, which leads to a fully correct algorithmic program via step-by-step refinement of the program specifications. The existing program construction methods' refinement process is partly based on individual subjective speculation and analysis, which lacks a precise guidance method. Meanwhile, efficiency factors have usually been ignored in the construction process, and most of the constructed abstract programs cannot be run directly by machines. In order to solve these problems, a novel program construction method for the sequence statistical class algorithms based on bidirectional scan induction is proposed in this paper. The method takes into account the efficiency factor and thus improves the Morgan's refinement calculus. Furthermore, this paper validates the method's feasibility using an efficiency-sensitive sequential statistics class algorithm as a program construction example. The method proposed in this paper realizes the correctness construction process from program specifications to efficient executable programs.
Key words: program construction / bidirectional scanning induction / sequential statistics / Morgan's refinement calculus
Biography: ZUO Zhengkang, male, Ph. D., Professor, Senior member of CCF, research direction: software formal methods and generic programming. E-mail: zhengkang2005@iscas.ac.cn
Fundation item: Supported by the National Natural Science Foundation of China (62262031),the Jiangxi Provincial Natural Science Foundation (20232BAB202010), the Science and Technology Project of Education Department of Jiangxi Province (GJJ210307,GJJ2200302), and the Cultivation Project for Academic and Technical Leader in Major Disciplines in Jiangxi Province (20232BCJ22013)
© Wuhan University 2023
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