On-the-Fly Algorithms and Sequential Machines
Document Type
Article
Department
Mathematics (HMC)
Publication Date
2011
Abstract
Frougny has presented a method that generalizes various "on-the-fly” operations that have been presented, mainly in connection with computer arithmetic. First, we shall trace the origin of this method to its source, which is the celebrated paper of Rabin and Scott that introduced the notion of nondeterminism and the power-set construction. Second, we shall show that an understanding of this origin may lead to great quantitative improvements in applications of the method. Finally, we shall show by a pathological example that the method as originally presented by Frougny may result in circuits that are larger, in terms of gates per step, by two exponentiations than those that are constructed as described in the present paper.
Rights Information
© 2011 Institute of Electrical and Electronics Engineers
Terms of Use & License Information
DOI
10.1109/TC.2011.35
Recommended Citation
Pippenger, N., "On-the-Fly Algorithms and Sequential Machines," Computers, IEEE Transactions on , vol.60, no.9, pp.1372,1375, Sept. 2011 doi: 10.1109/TC.2011.35
