Precision Measurements of the top pair production cross
section in the lepton+jets channel at CDF

With the large 1 fb$^{-1}$ dataset accumulated by CDF in Run 2,
we are able to measure the top pair production rate with 
unprecedented precision, and uncertainties comparable to those of
theoretical predictions.  CDF presents two 
complementary analyses in the lepton+jets decay channel,
providing strong tests the Standard Model and physics
beyond.  We present two single measurements of the top cross
section from $p\bar{p}$ collisions at 1.96 TeV using the CDF 2 
detector, along with a combined measurement of all three 
decay channels, which is dominated by the precise 
lepton+jets channel.

For top lepton+jets events, identified via their decay 
to one charged electron or muon, high missing transverse 
energy and at least 3 jets, we present an analysis using 
the silicon vertex detector to require lifetime $b$-jet-tagging 
to help identify top.  This analysis relies on measurements
of heavy flavor production in W+jets events as well.  A
different approach is to eliminate the requirement of a 
$b$-tagged jet, and to use kinematic and topological information
to separate top from the large W+jets backgrounds.  This
yields a measurement with similar precision, and provides an
interesting comparison.  Finally, a novel (though less precise) 
measurement for the case where the lepton is a 
hadronic tau is also presented.