Certificate for #2900 ⟨a, b, c | aab=a, cba=b⟩

Completion settings:

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

Axiom: aab=a.

Defines rule #2.

Referenced by [3], [6].

Axiom: cba=b.

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

Overlap of [2] cba=b with [1] aab=a:

Critical pair: cba=bab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

Referenced by [4].

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

Critical pair: cb=bb.

Defines rule #1.

Referenced by [5].

Overlap of [2] cba=b with [4] cb=bb:

Critical pair: bba=b.

Defines rule #5.

Referenced by [6].

Overlap of [1] aab=a with [5] bba=b:

Critical pair: aab=aba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.