Certificate for #2101 ⟨a, b | aba=a, babb=b⟩

Completion settings:

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

Axiom: aba=a.

Defines rule #2.

Referenced by [3].

Axiom: babb=b.

Referenced by [3], [4].

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

Critical pair: ab=abb.

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [2] babb=b with [3] abb=ab:

Critical pair: bab=b.

Defines rule #3.

Referenced by [5].

Overlap of [4] bab=b with [3] abb=ab:

Critical pair: bab=bb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.