Consider two 4-bit binary numbers A and B. Bits of A are a3, a2, a1, and a0, and bits of B are b3, b2, b1, and b0. A is greater than B if a3 is 1 and b3 is 0, but if a3 and b3 are the same, then if a2 is 1 and b2 is 0, we can determine that A is greater than B. This evaluation continues until a0 and b0 are considered. If a0 and b0 are equal then A and B are equal. Using discrete gates and Verilog gate primitives build a 4-bit comparator that generates a 1 on its GT output when its 4-bit input A is greater than its B input, and a 1 on its EQ output when A and B are equal. Use the generate statement and other Verilog iterative logic support structures.

Here is a possible implementation of the 4-bit comparator in Verilog:

module comparator(
    input [3:0] A,
    input [3:0] B,
    output GT,
    output EQ
);

// Compare the most significant bit of A and B
assign GT = (A[3] && !B[3]) ? 1'b1 :
            (!A[3] && B[3]) ? 1'b0 :
            // Compare the next most significant bit, if necessary
            (A[2] && !B[2]) ? 1'b1 :
            (!A[2] && B[2]) ? 1'b0 :
            // Compare the next most significant bit, if necessary
            (A[1] && !B[1]) ? 1'b1 :
            (!A[1] && B[1]) ? 1'b0 :
            // Compare the least significant bit, if necessary
            (A[0] && !B[0]) ? 1'b1 :
            (!A[0] && B[0]) ? 1'b0 :
            // If all bits are equal, then A and B are equal
            1'b0;

assign EQ = (A == B) ? 1'b1 : 1'b0;

endmodule

In this implementation, we use the ternary operator to perform a series of comparisons between the corresponding bits of A and B. If the most significant bit of A is 1 and the most significant bit of B is 0, then A is greater than B and we set the GT output to 1. If the most significant bits are equal, then we move on to compare the next most significant bits, and so on, until we reach the least significant bits. If all bits are equal, then A and B are equal, and we set the EQ output to 1.

Note that we use the `==` operator to compare A and B for equality, which is allowed in Verilog. Also, we don't need to explicitly declare any gates or use iterative logic structures like `for` loops or `generate` statements, as the ternary operator can handle all the comparisons.