3 problems

Reversal symmetry conjecture. If $S'$ is the reversal of an ending string $S$, then

Powers-of-two conjecture. The expected value $E(S)$ equals $2^s$ possibly plus some lower positive powers of $2$; asymptotically, $E(S)$ is about $2^s$.

Let a strong coin-flipping protocol based on bit-commitment be any protocol in the family formally defined in Section, and let its bias be the maximum excess of either party's chea…