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General relativity in three spacetime dimensions is used to explore three
approaches to the problem of time'' in quantum gravity: the internal Schr\"odinger approach with mean extrinsic curvature as a time variable, the Wheeler-DeWitt equation, and covariant canonical quantization with evolving
constants of motion.‘’ (To appear in {\em Proc.\ of the Lanczos Centenary
Conference}, Raleigh, NC, December 1993.)

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