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On the use of inaccessible numbers and order indiscernibles in lower bound arguments for random access machines

Published online by Cambridge University Press:  12 March 2014

Wolfgang Maass
Wolfgang Maass*
Affiliation:
Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, Illinois 60680
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Abstract

We prove optimal lower bounds on the computation time for several well-known test problems on a quite realistic computational model: the random access machine. These lower bound arguments may be of special interest for logicians because they rely on finitary analogues of two important concepts from mathematical logic: inaccessible numbers and order indiscernibles.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 53 , Issue 4 , December 1988 , pp. 1098 - 1109
Copyright
Copyright © Association for Symbolic Logic 1988

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Footnotes

1

Supported in part by NSF grant DCR-8504247.

References

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