S. Kimura et al., PRECISENESS OF DISCRETE-TIME VERIFICATION, IEICE transactions on fundamentals of electronics, communications and computer science, E76A(10), 1993, pp. 1755-1759
The discrete time analysis of logic circuits is usually more efficient
than the continuous time analysis, but the preciseness of the discret
e time analysis is not guaranteed. The paper shows a method to decide
a unit time for a logic circuit under which the analysis result is the
same as the result based on the continuous time. The delay time of an
element is specified with an interval between the minimum and maximum
delay times, and we assume an analysis method which enumerates all po
ssible delay cases under the discrete time. Our main theorem is as fol
lows: refine the unit time by a factor of 1/2, and if the analysis res
ult with a unit time u and that with a unit time u/2 are the same, the
n u is the expected unit time.