ON LOWER BOUND TO MEMORY OF FINITE STATE MACHINES

被引:3
作者
VAIRAVAN, K
机构
[1] Department of Electrical Engineering, University of Wisconsin, Milwaukee
关键词
D O I
10.1109/T-C.1969.222782
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
A finite state machine (FSM) is said to have finite memory µ if µ is the least integer such that yk=f(xk, xk-1,…,xk-μ, yk-1, … μk-u) where yk and xkrepresent the output and input at time k. If no such µ exists, then by convention the memory is said to be infinite. It has been observed [1] that if the memory of a p-nary input, q-nary output n-state minimal nondegenerate FSM is finite, then the memory µ is bounded as follows. © 1969 IEEE. All rights reserved.
引用
收藏
页码:856 / &
相关论文
共 50 条
  • [21] A Lower Bound for the Optimization of Finite Sums
    Agarwal, Alekh
    Bottou, Leon
    INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 37, 2015, 37 : 78 - 86
  • [22] FINITE STATE MACHINES IN STATE ESTIMATION FOR DYNAMIC-SYSTEMS WITH AN NTH ORDER MEMORY AND NONLINEAR INTERFERENCE
    DEMIRBAS, K
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1989, 326 (06): : 817 - 829
  • [23] Finite barrier bound state
    Liu, Tao
    Bai, Kai
    Zhang, Yicheng
    Wan, Duanduan
    Lai, Yun
    Chan, C. T.
    Xiao, Meng
    LIGHT-SCIENCE & APPLICATIONS, 2024, 13 (01)
  • [24] Finite barrier bound state
    Tao Liu
    Kai Bai
    Yicheng Zhang
    Duanduan Wan
    Yun Lai
    C. T. Chan
    Meng Xiao
    Light: Science & Applications, 13
  • [25] An Improved Upper Bound for the Length of Preset Distinguishing Sequences of Distinguished Merging Finite State Machines
    Gunicen, Canan
    Inan, Kemal
    Turker, Uraz Cengiz
    Yenigun, Husnu
    INFORMATION SCIENCES AND SYSTEMS 2014, 2014, : 325 - 335
  • [26] CONTINUOUS STATE MODELS FOR FINITE STATE MACHINES
    PORTER, WA
    INTERNATIONAL JOURNAL OF CONTROL, 1977, 25 (02) : 165 - 183
  • [27] OPTIMAL STATE ASSIGNMENT FOR FINITE STATE MACHINES
    DEMICHELI, G
    BRAYTON, RK
    SANGIOVANNIVINCENTELLI, A
    IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 1985, 4 (03) : 269 - 285
  • [28] A state assignment algorithm for finite state machines
    Skias, D
    Haniotakis, T
    Tsiatouhas, Y
    Arapoyanni, A
    ICECS 2000: 7TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS & SYSTEMS, VOLS I AND II, 2000, : 823 - 826
  • [29] State assignment of finite-state machines
    Ahmad, I
    Dhodhi, MK
    IEE PROCEEDINGS-COMPUTERS AND DIGITAL TECHNIQUES, 2000, 147 (01): : 15 - 22
  • [30] SOME COMMENTS ON GENERALIZED SHANNON LOWER BOUND FOR STATIONARY FINITE-ALPHABET SOURCES WITH MEMORY
    YAO, K
    TAN, H
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1973, 19 (06) : 815 - 817