Journal of Applied Sciences ›› 1995, Vol. 13 ›› Issue (3): 299-308.

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AN OPTIMIZABLE CLASS OF QUADRATIC PSEUDO-BOOLEAN FUNCTION

LIU YONGCAI, XU HUIG ANG   

  1. Shanghai University, Jiading Campus
  • Received:1993-05-07 Revised:1993-12-20 Online:1995-09-30 Published:1995-09-30

Abstract: In this paper we give a class of the quadratic pseudo-Boolean function f(x) whose minimum and minimal points can be found in linear time,The basic idea is to transform the graph defined by Q and C in to a combinational circuit of NOT,AND,OR,NAND,NOR,XOR and XNOR gates.The consistent signals in the logic circuit correspond to the minimal points of the quadratic pseudo-Boolean function,This method establishes the construction relationship between the quadratic pseudo-Boolean function and the logic circuit.

Key words: logic simulation, neural network, quadratic pseudo-Boolean function