An entropy measure for the complexity of multi-output Boolean functions

The complexity of a Boolean function can be expressed in terms of computational work. We present experimental data in support of the entropy definition of computational work based upon the input-output description of a Boolean function. Our data show a linear relationship between the computational w...

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Bibliographic Details
Published in:Proceedings of the 27th ACM/IEEE Design Automation Conference pp. 302 - 305
Main Authors: Cheng, Kwang-Ting, Agrawal, Vishwani D.
Format: Conference Proceeding
Language:English
Published: New York, NY, USA ACM 03.01.1991
Series:ACM Conferences
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ISBN:9780897913638, 0897913639
Online Access:Get full text
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Summary:The complexity of a Boolean function can be expressed in terms of computational work. We present experimental data in support of the entropy definition of computational work based upon the input-output description of a Boolean function. Our data show a linear relationship between the computational work and the average number of literals in a multi-level implementation. The investigation includes single-output and multi-output function with and without don't care states. The experiments, conducted on a large number of randomly generated functions, showed that the effect of don't cares is to reduce the computational work. For several finite state machine benchmarks, the computational work gave a good estimate of the size of the circuit. Finally, circuit delay is shown to have a non-linear relationship to the computational work.
Bibliography:SourceType-Conference Papers & Proceedings-1
ObjectType-Conference Paper-1
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ISBN:9780897913638
0897913639
DOI:10.1145/123186.123282