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In the plan, v_lc_1, ..., v_lc_n are live "covering" variables at InputOp , while v_rc_1, ..., v_rc_n are their corresponding variables populated from the deepcopy of InputOp. "Covering" variables form a set of variables that can imply all live variables. vand v_l1, ....v_ln in the decoration part of the added group-by operator are all live variables at InputOp except the covering variables v_lc_1, ..., v_lc_n.  In the current implementation, we use "covering" variables as primary key variables. In the next version, we will use the real primary key variables, which will fix ASTERIXDB-1168.

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