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The Becci-Rouet-Stora-Tyutin (BRST) operator quantization of afinite-dimensional gauge system featuring two quadratic super Hamiltonian and mlinear supermomentum constraints is studied as a model for quantizing generallycovariant gauge theories. The proposed model ``completely'' mimics theconstraint algebra of General Relativity. The Dirac constraint operators areidentified by realizing the BRST generator of the system as a Hermitiannilpotent operator, and a physical inner product is introduced to complete aconsistent quantization procedure.Comment: 17 pages. Latex file. Minor changes, two references adde

Quantization of a generally covariant gauge system with two super Hamiltonian constraints