Certificate for #20118 ⟨a, b | aab=b, baaa=bba⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #2.

Referenced by [3].

Axiom: baaa=bba.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3], [4].

Overlap of [2] bba=baaa with [1] aab=b:

Critical pair: bbb=baaaab.

Reduce RHS:

Defines rule #4.

Referenced by [4].

Overlap of [3] bbb=bb with [2] bba=baaa:

Critical pair: bbaaa=bba.

Reduce LHS:

Reduce RHS:

Defines rule #1.