Lower Bounds and Hardness Magnification for Sublinear-Time Shrinking Cellular Automata

  title={Lower Bounds and Hardness Magnification for Sublinear-Time Shrinking Cellular Automata},
  author={Augusto Modanese},
The minimum circuit size problem (MCSP) is a string compression problem with a parameter $s$ in which, given the truth table of a Boolean function over inputs of length $n$, one must answer whether it can be computed by a Boolean circuit of size at most $s(n) \ge n$. Recently, McKay, Murray, and Williams (STOC, 2019) proved a hardness magnification result for MCSP involving (one-pass) streaming algorithms: For any reasonable $s$, if there is no $\mathsf{poly}(s(n))$-space streaming algorithm… Expand

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