Computer Science ›› 2020, Vol. 47 ›› Issue (11A): 599-603.doi: 10.11896/jsjkx.200300096

• Interdiscipline & Application • Previous Articles     Next Articles

Designs and Implementations of Algorithms for Searching Terminal Words of Automata

SUN Shi-yuan, HE Yong   

  1. School of Computer Science and Engineering,Hunan University of Science and Technology,Xiangtan,Hunan 411201,China
  • Online:2020-11-15 Published:2020-11-17
  • About author:SUN Shi-yuan,born in 1995,master,is a member of China Computer Federation.His main research interest include theory of automaton and so on.
    HE Yong,born in 1970,Ph.D,professor,is a member of China Computer Federation.His main research interests include Formal language and automata theory.
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (61572013).

Abstract: The ranks of automata are strongly associated with the problem of the designs of parts orienters on industrial automation and Černý-Pin conjecture on theoretical computer science.Computing ranks of automata can be turned into computing terminal words of automata.Rystsov proposed an algorithm for searching terminal words of automata with O(|A|4) time complexity.The algorithm is the only one to compute terminal words of automata till now.Some new algorithms for searching terminal words of automata can be designed based on existing algorithms for searching synchronizing words of synchronizing automata.Theoretical analysis and experimental results show that all these new algorithms are optimizations of Rystsov algorithm.

Key words: Eppstein pre-processing, Synchronizing pair, Synchronizing words, Terminal words

CLC Number: 

  • TP301
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