On the complexity of Boolean functions computed by lazy oracles

We introduce and examine some properties of a new complexity measure for Boolean functions. Unlike classical approaches, which are largely concerned with resource requirements, the measure examined here aims at quantifying the potential for lazy evaluation in a function. This measure is motivated by...

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Vydané v:IEEE transactions on computers Ročník 44; číslo 4; s. 495 - 502
Hlavní autori: Dunne, P.E., Leng, P.H., Nwana, G.F.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York, NY IEEE 01.04.1995
Institute of Electrical and Electronics Engineers
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ISSN:0018-9340
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Shrnutí:We introduce and examine some properties of a new complexity measure for Boolean functions. Unlike classical approaches, which are largely concerned with resource requirements, the measure examined here aims at quantifying the potential for lazy evaluation in a function. This measure is motivated by issues arising in the implementation of demand-driven logic simulators. The range of values that can be taken by the measure is precisely identified and a lower bound on the complexity of 'almost all' Boolean functions derived. In addition asymptotically exact values are derived for the class of all Boolean symmetric functions.< >
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ISSN:0018-9340
DOI:10.1109/12.376165