Synthesis of sequential machines: a mathematical approach.

Jordi Aguiló-Llobet; Elena Valderrama-Vallès; Carlos Simó

Qüestiió (1981)

  • Volume: 5, Issue: 4, page 203-208
  • ISSN: 0210-8054

Abstract

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A new mathematical approach for encoding internal states in synchronous sequential machines is developed.The relationship between transition matrices and the corresponding matrices of the isometric group is studied. An algorithm to a priori determine the null cost assignment is proposed. The cycle lengths which appear for each n are analysed. The results obtained for the D or SR flip-flop can be extended to JK and GL.

How to cite

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Aguiló-Llobet, Jordi, Valderrama-Vallès, Elena, and Simó, Carlos. "Synthesis of sequential machines: a mathematical approach.." Qüestiió 5.4 (1981): 203-208. <http://eudml.org/doc/39981>.

@article{Aguiló1981,
abstract = {A new mathematical approach for encoding internal states in synchronous sequential machines is developed.The relationship between transition matrices and the corresponding matrices of the isometric group is studied. An algorithm to a priori determine the null cost assignment is proposed. The cycle lengths which appear for each n are analysed. The results obtained for the D or SR flip-flop can be extended to JK and GL.},
author = {Aguiló-Llobet, Jordi, Valderrama-Vallès, Elena, Simó, Carlos},
journal = {Qüestiió},
keywords = {Circuitos lógicos; Máquina secuencial; Autómatas; Síntesis},
language = {eng},
number = {4},
pages = {203-208},
title = {Synthesis of sequential machines: a mathematical approach.},
url = {http://eudml.org/doc/39981},
volume = {5},
year = {1981},
}

TY - JOUR
AU - Aguiló-Llobet, Jordi
AU - Valderrama-Vallès, Elena
AU - Simó, Carlos
TI - Synthesis of sequential machines: a mathematical approach.
JO - Qüestiió
PY - 1981
VL - 5
IS - 4
SP - 203
EP - 208
AB - A new mathematical approach for encoding internal states in synchronous sequential machines is developed.The relationship between transition matrices and the corresponding matrices of the isometric group is studied. An algorithm to a priori determine the null cost assignment is proposed. The cycle lengths which appear for each n are analysed. The results obtained for the D or SR flip-flop can be extended to JK and GL.
LA - eng
KW - Circuitos lógicos; Máquina secuencial; Autómatas; Síntesis
UR - http://eudml.org/doc/39981
ER -

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