  We now set up Constraint Closure in a manner consistent with Temporal and
Configurational Relationalism. This requires modifying the Dirac Algorithm -
which addresses the Constraint Closure Problem facet of the Problem of Time
piecemeal - to the TRi-Dirac Algorithm. This is a member of the wider class of
Dirac-type algorithms that enjoys the property of being Temporal Relationalism
implementing (TRi). Constraint algebraic structures ensue. We include examples
of types of constraint, outcomes of the Dirac Algorithm and different kinds of
Constraint Closure Problems. Enough new Principles of Dynamics is required to
support this venture that an Appendix on it is provided: differential
Hamiltonians, anti-Routhians, and the brackets, state spaces and morphisms
corresponding to these.
