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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Computing when multiplications cost nothing

Author: D. J. Newman
Journal: Math. Comp. 46 (1986), 255-257
MSC: Primary 05A99; Secondary 11Y16
MathSciNet review: 815847
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Abstract: A (rather strange) computer is considered which costs 1 cent to perform each addition but costs nothing to perform a multiplication. It is shown that the addition chain from 1 to n cost maximally ${(\operatorname {Log} n)^{1/2 + o(1)}}$ rather than the classical $\sim \operatorname {Log} n$.

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Article copyright: © Copyright 1986 American Mathematical Society