Certificate for #20158 ⟨a, b | aab=b, bbab=bba⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #1.

Referenced by [3].

Axiom: bbab=bba.

Defines rule #4.

Referenced by [3], [4].

Overlap of [2] bbab=bba with [2] bbab=bba:

Critical pair: bbabba=bbabab.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

Overlap of [2] bbab=bba with [3] bbb=bbaa:

Critical pair: bbabbaa=bbabb.

Reduce LHS:

Reduce RHS:

Defines rule #2.