Certificate for #9155 ⟨a, b | aa=a, abba=bbb⟩

Completion settings:

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

Axiom: aa=a.

Defines rule #1.

Referenced by [4].

Axiom: abba=bbb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

Overlap of [2] bbb=abba with [2] bbb=abba:

Critical pair: babba=abbab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

Overlap of [1] aa=a with [3] abbab=babba:

Critical pair: ababba=abbab.

Reduce RHS:

Defines rule #4.