Certificate for #5238 ⟨a, b | aba=aa, babb=a⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: aba=aa.

Defines rule #1.

Referenced by [3], [4].

Axiom: babb=a.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] aba=aa with [2] babb=a:

Critical pair: aa=aabb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

Overlap of [2] babb=a with [2] babb=a:

Critical pair: baba=aabb.

Reduce LHS:

Reduce RHS:

Defines rule #2.