Deterministic simulation in LOGSPACE

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Deterministic simulation in LOGSPACE

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Annual ACM Symposium on Theory of Computing archive
Proceedings of the nineteenth annual ACM symposium on Theory of computing table of contents

New York, New York, United States

Pages: 132 - 140

Year of Publication: 1987

ISBN:0-89791-221-7

Authors

M. Ajtai	IBM, Almaden Research Center
J. Komlos	Uuiiversity of California, San Diego, Dept. of Mathematics
E. Szemeredi	Rutgers University, Department of Computer Science

Sponsor

SIGACT: ACM Special Interest Group on Algorithms and Computation Theory

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 5, Downloads (12 Months): 44, Citation Count: 37

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ABSTRACT

In this paper we show that a wide class of probabilistic algorithms can be simulated by deterministic algorithms. Namely if there is a test in LOGSPACE so that a random sequence of length (log n)2 / log log n passes the test with probability at least 1/n then a deterministic sequence can be constructed in LOGSPACE which also passes the test. It is important that the machine performing the test gets each bit of the sequence only once. The theorem remains valid if both the test and the machine constructing the satisfying sequence have access to the same oracle of polynomial size. The sequence that we construct does not really depend on the test, in the sense that a polynomial family of sequences is constructed so that at least one of them passes any test. This family is the same even if the test is allowed to use an oracle of polynomial size, and it can be constructed in LOGSPACE (without using an oracle).

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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