Certificate for #16113 ⟨a, b | aab=aa, baaa=aa⟩

Completion settings:

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

Axiom: aab=aa.

Defines rule #2.

Referenced by [3].

Axiom: baaa=aa.

Referenced by [3], [4], [5], [6].

Overlap of [1] aab=aa with [2] baaa=aa:

Critical pair: aaaa=aaaaa.

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] baaa=aa with [3] aaaaa=aaaa:

Critical pair: baaaa=aaaa.

Reduce LHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [2] baaa=aa with [4] aaaa=aaa:

Critical pair: baaa=aaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [6].

Overlap of [2] baaa=aa with [5] aaa=aa:

Critical pair: baa=aa.

Defines rule #3.