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  1. // C1 (with probability 1, all N processes finish the protocol)
  2. Pmin=? [ F "finished" ]
  3. // C2 (minimum probability that the protocol finishes with all coins equal to v) (v=1,2)
  4. // Results are same for v=1 and v=2 by symmetry
  5. // Analytic bound is (K-1)/(2*K)
  6. Pmin=? [ F "finished"&"all_coins_equal_0" ]
  7. Pmin=? [ F "finished"&"all_coins_equal_1" ]
  8. // Max probability of finishing protocol with coins not all equal
  9. Pmax=? [ F "finished"&!"agree" ]
  10. // Min/max probability of finishing within k steps
  11. Pmin=? [ F<=k "finished" ]
  12. Pmax=? [ F<=k "finished" ]
  13. // Min/max expected steps to finish
  14. Rmin=? [ F "finished" ]
  15. Rmax=? [ F "finished" ]