Prospects of identifying the sources of the Galactic cosmic rays with IceCube

The Milagro detector has identified several TeV gamma-ray sources with fluxes consistent with typical cosmic-ray generating supernova remnants interacting with the interstellar medium. In this contribution we show that IceCube, a kilometer-scale neutrino detector under construction at the South Pole, can provide incontrovertible evidence of cosmic-ray acceleration in these sources by detecting neutrinos. The sensitivity is maximal if only events with energies above about 40 TeV are considered where the atmospheric neutrino background is largely reduced.