  We perform the complete Hamiltonian analysis of the BFCG action for General
Relativity. We determine all the constraints of the theory and classify them
into the first-class and the second-class constraints. We also show how the
canonical formulation of BFCG General Relativity reduces to the Einstein-Cartan
and triad canonical formulations. The reduced phase space analysis also gives a
2-connection which is suitable for the construction of a spin-foam basis which
will be a categorical generalization of the spin-network basis from Loop
Quantum Gravity.
