Augmented algorithm for the Hamiltonian

An example is given, additional to Frenkel's example in the preceding paper, in which Dirac's test gives too much gauge arbitrariness, signaling a breakdown of the constraint algorithm. A common pathology of the two examples is that $H_T$ is not differentiable along the constraint hypersurface, and this causes the canonical equations to be inherently singular. An augmented algorithm for the Hamiltonian is proposed which coincides with Dirac's in the differentiable case, which works correctly in a class of examples having nondifferentiable $H_T$, and in which the usual algorithm fails. The proposed algorithm appears to be generally applicable.