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Author Alt, Helmut
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1988
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract Methods are presented for finding reductions between the computations of certain arithmetic functions that preserve asymptotic Boolean complexities (circuit depth or size). They can be used to show, for example, that all nonlinear algebraic functions are as difficult as integer multiplication with respect to circuit size. As a consequence, any lower or upper bound (e.g., $\textit{O}(\textit{n}$ log $\textit{n}$ log log $\textit{n}))$ for one of them applies to the whole class. It is also shown that, with respect to depth and size simultaneously, multiplication is reducible to any nonlinear and division to any nonpolynomial algebraic function.
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 1988-04-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 35
Issue Number 2
Page Count 14
Starting Page 447
Ending Page 460

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Source: ACM Digital Library