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For several models of gravity coupled to other fields,the algorithm of the canonical quantization has been completed and performed to an end.It gave rise to well defined,exact quantum theories.The Dirac observables are provided by the relational and the deparametrization frameworks.The quantum states,Hilbert spaces and concrete quantum operators are furnished by the canonical Loop Quantum Gravity framework.The models are not confirmed experimentally and admit ambiguities,but they are there,available for farther study and applications.