  We present interferometric CO observations made with the Combined Array for
Millimeter-wave Astronomy (CARMA) of galaxies from the Extragalactic Database
for Galaxy Evolution survey (EDGE). These galaxies are selected from the Calar
Alto Legacy Integral Field Area (CALIFA) sample, mapped with optical integral
field spectroscopy. EDGE provides good quality CO data (3$\sigma$ sensitivity
$\Sigma_{\rm mol}$ $\sim$ 11 M$_\odot$ pc$^{-2}$ before inclination correction,
resolution $\sim1.4$ kpc) for 126 galaxies, constituting the largest
interferometric CO survey of galaxies in the nearby universe. We describe the
survey, the data characteristics, the data products, and present initial
science results. We find that the exponential scale-lengths of the molecular,
stellar, and star-forming disks are approximately equal, and galaxies that are
more compact in molecular gas than in stars tend to show signs of interaction.
We characterize the molecular to stellar ratio as a function of Hubble type and
stellar mass, present preliminary results on the resolved relations between the
molecular gas, stars, and star formation rate, and discuss the dependence of
the resolved molecular depletion time on stellar surface density, nebular
extinction, and gas metallicity. EDGE provides a key dataset to address
outstanding topics regarding gas and its role in star formation and galaxy
evolution, which will be publicly available on completion of the quality
assessment.
