Certificate for #566 ⟨a, b | aaa=a, aba=b⟩

Completion settings:

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

Axiom: aaa=a.

Defines rule #2.

Referenced by [3].

Axiom: aba=b.

Referenced by [3], [4].

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

Critical pair: aab=aba.

Reduce RHS:

Defines rule #3.

Referenced by [4].

Overlap of [3] aab=b with [2] aba=b:

Critical pair: ab=ba.

Flip LHS and RHS.

Defines rule #1.