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Author Mileto, Franco ♦ Putzolu, Gianfranco
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1965
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract The first problem in a two level Boolean minimization is the determination of the prime $\textit{k}-cubes.$ This paper is concerned with the estimation of the statistical complexity of some well-known algorithms which solve this problem. Formulas are given for the average number of comparison operations among $\textit{k}-cubes$ occurring in Quine's method and in Mc-Cluskey's method; these quantities provide indications of the average execution time of computer programs based on the corresponding algorithms. Numerical values are given and commented on.Formulas are also obtained for the variance of the number of $\textit{k}-cubes$ and the variance of the number of cubes of a Boolean function; in fact the calculation of these quantities is strictly related to that of the average number of comparison operations among $\textit{k}-cubes.These$ variances give an idea of the probable error made by using the corresponding average values (obtained in a previous paper by the authors) to make forecasts. It turns out that this error is quite small.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1965-07-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 12
Issue Number 3
Page Count 12
Starting Page 364
Ending Page 375

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Source: ACM Digital Library