Certificate for #1671 ⟨a, b | aba=ab, bab=b⟩

Completion settings:

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

Axiom: aba=ab.

Referenced by [3].

Axiom: bab=b.

Referenced by [3], [4].

Overlap of [2] bab=b with [1] aba=ab:

Critical pair: bab=ba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

Overlap of [2] bab=b with [3] ba=b:

Critical pair: bb=b.

Defines rule #2.