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Sub-Logarithmic Test-and-Set Against a Weak Adversary

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Dan Alistarh
2011
conference papers

Abstract

A randomized implementation is given of a test-and-set register with O(log log it) individual step complexity and O(n) total step complexity against an oblivious adversary. The implementation is linearizable and multi-shot, and shows an exponential complexity improvement over previous solutions designed to work against a strong adversary.

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https://infoscience.epfl.ch/entities/publication/3673999b-5dec-42f1-a36c-0cc1f34a1e96

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In computer science, parameterized complexity is a branch of computational complexity theory that focuses on classifying computational problems according to their inherent difficulty with respect to multiple parameters of the input or output. The complexity of a problem is then measured as a function of those parameters. This allows the classification of NP-hard problems on a finer scale than in the classical setting, where the complexity of a problem is only measured as a function of the number of bits in the input.

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