Non-commutative Gaussian Elimination Algorithm 2 Input: a set W of G's elements; a cgs h = [hi, h2..... hr] ofH = ; procedure reduce and insert(g: element; var h: sequence of elements); (* h = [h 1, h2..... hr] has the propertythat li (hi) li(hj) for I j. A reduced form of the element g is (potentially) placed into the sequence after it is echelonized against the element h. *)

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