  We consider the six-vertex model with reflecting end boundary condition. We
compute analytically boundary correlation functions, such as the boundary
polarization and the emptiness formation probability. In order to do that, we
use the Sklyanin's reflection algebra to derive recursion relations for the
partition function of the model as well as for the boundary correlations in
terms of the partition function. Thanks to the Tsuchiya determinant formula,
these recursion relations allow the boundary correlations to be also
efficiently written in determinantal form.
