The CDF collaboration has adapted several heavy flavor tagging techniques a
nd employed them in analyses of time-dependent flavor asymmetries using dat
a from the Tevatron Run I. The tagging algorithms were calibrated using low
-p(T) inclusive lepton and dilepton trigger data samples. The tagging techn
iques were applied to a sample of similar to 400 B-d(0)/(B) over bar (0)(d)
--> J/psi bK(S)(0) decays and were used to measure the CP violation parame
ter, sin(2 beta). Prospects for future improved measurements of the CP viol
ation parameters at the Tevatron are briefly discussed.