We consider tautologies formed from a pseudo-random
number generator, defined in Kraj\'{\i}\v{c}ek \cite{Kra99}
and in Alekhnovich et.al. \cite{ABRW}.
We explain a strategy of proving their hardness for EF via
a conjecture about bounded arithmetic formulated
in Kraj\'{\i}\v{c}ek \cite{Kra99}. Further we give a
purely finitary statement, in a ... more >>>