Certificate for #20245 ⟨a, b | aba=a, bbbb=abb⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(b) = 0; deg(a) = 1

Axiom: aba=a.

Defines rule #3.

Referenced by [3].

Axiom: bbbb=abb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

Overlap of [1] aba=a with [2] abb=bbbb:

Critical pair: abbbbb=abb.

Reduce LHS:

Reduce RHS:

Defines rule #1.