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A nonlinear lower bound for random-access machines under logarithmic cost

Published:01 June 1988Publication History
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Abstract

For on-line random-access machines under logarithmic cost, the simple task of storing arbitrary binary inputs has nonlinear complexity. Even if all kinds of powerful internal operations are admitted and reading of storage locations is free of charge, just successively changing the storage contents for properly storing arbitrary n-bit inputs requires an average cost of order n · log*n.

References

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  2. 2 KATAJAINEN, J., VAN LEEUWEN, J., AND PENTTONEN, M.O. Fast simulation of Turing machines by random access machines. Rep. 837. Univ. of Turku, Finland, Oct. 1985.Google ScholarGoogle Scholar
  3. 3 SCrlONHAGE, A. Storage modification machines. SIAM J. Comput. 9 (1980), 490-508.Google ScholarGoogle Scholar

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  1. A nonlinear lower bound for random-access machines under logarithmic cost

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      • Published in

        cover image Journal of the ACM
        Journal of the ACM  Volume 35, Issue 3
        July 1988
        280 pages
        ISSN:0004-5411
        EISSN:1557-735X
        DOI:10.1145/44483
        Issue’s Table of Contents

        Copyright © 1988 ACM

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 1 June 1988
        Published in jacm Volume 35, Issue 3

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