Making Branching Programs Oblivious Requires Superlogarithmic Overhead

@article{Beame2011MakingBP,
  title={Making Branching Programs Oblivious Requires Superlogarithmic Overhead},
  author={Paul Beame and Widad Machmouchi},
  journal={2011 IEEE 26th Annual Conference on Computational Complexity},
  year={2011},
  pages={12-22}
}
We prove a time-space tradeoff lower bound of $T =\Omega\left(n\log(\frac{n}{S}) \log \log(\frac{n}{S})\right) $ forrandomized oblivious branching programs to compute $1GAP$, alsoknown as the pointer jumping problem, a problem for which there is asimple deterministic time $n$ and space $O(\log n)$ RAM (randomaccess machine) algorithm.%Although no simulations of general%computation on randomized oblivious algorithms requiring only%polylogarithmic increase in time and space are yet known, our… CONTINUE READING

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