We investigate the thermal properties of the inner crust of a neutron star
using the Hartree-Fock-Bogoliubov (HFB) formalism at finite temperature. We
compare our results with the ones obtained solving the same equations, but
within the BCS approximation. We observe that for the outermost regions of the
inner crust, the two methods can show important differences, in particular when
we use them to calculate the neutron specific heat of the system