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CLC number: TP13
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2022-02-23
Cited: 0
Clicked: 2668
Citations: Bibtex RefMan EndNote GB/T7714
A matrix-based static approach to analysis of finite state machines
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He DENG, Yongyi YAN, Zengqiang CHEN. A matrix-based static approach to analysis of finite state machines[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(8): 1239-1246.
@article{title="A matrix-based static approach to analysis of finite state machines",
author="He DENG, Yongyi YAN, Zengqiang CHEN",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="23",
number="8",
pages="1239-1246",
year="2022",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.2100561"
}
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%A He DENG
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%A Zengqiang CHEN
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%V 23
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%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.2100561
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T1 - A matrix-based static approach to analysis of finite state machines
A1 - He DENG
A1 - Yongyi YAN
A1 - Zengqiang CHEN
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 23
IS - 8
SP - 1239
EP - 1246
%@ 2095-9184
Y1 - 2022
PB - Zhejiang University Press & Springer
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DOI - 10.1631/FITEE.2100561
Abstract: Traditional matrix-based approaches in the field of finite state machines construct state transition matrices, and then use the powers of the state transition matrices to represent corresponding dynamic transition processes, which are cornerstones of system analysis. In this study, we propose a static matrix-based approach that revisits a finite state machine from its structure rather than its dynamic transition process, thus avoiding the "explosion of complexity" problem inherent in the existing approaches. Based on the static approach, we reexamine the issues of closed-loop detection and controllability for deterministic finite state machines. In addition, we propose controllable equivalent form and minimal controllable equivalent form concepts and give corresponding algorithms.
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