  The recently started Arecibo L-band Feed Array (ALFA) pulsar survey aims to
find ~1000 new pulsars. Due to its high time and frequency resolution the
survey is especially sensitive to millisecond pulsars, which have the potential
to test gravitational theories, detect gravitational waves and probe the
neutron-star equation of state. Here we report the results of our preliminary
analysis: in the first months we have discovered 21 new pulsars. One of these,
PSR J1906+0746, is a young 144-ms pulsar in a highly relativistic 3.98-hr
low-eccentricity orbit. The 2.61 +- 0.02 solar-mass system is expected to
coalesce in ~300 Myr and contributes significantly to the computed cosmic
inspiral rate of compact binary systems.
