  The CDF Collaboration has adapted several heavy flavor tagging techniques and
employed them in analyses of time-dependent flavor asymmetries using data from
the Tevatron Run I. The tagging algorithms were calibrated using low-P_t
inclusive lepton and dilepton trigger data samples. The tagging techniques were
applied to a sample of \sim 400 B^0_d/B-bar^0_d -> J/psi K^0_s decays and were
used to measure the CP violation parameter, sin(2 Beta). Prospects for future
improved measurements of the CP violation parameters at the Tevatron are
briefly discussed.
