Certificate for #16533 ⟨a, b | aba=aa, bbb=aba⟩

Completion settings:

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

Axiom: aba=aa.

Defines rule #1.

Referenced by [2], [4], [5].

Axiom: bbb=aba.

Reduce RHS:

Defines rule #3.

Referenced by [3], [6].

Overlap of [2] bbb=aa with [2] bbb=aa:

Critical pair: baa=aab.

Defines rule #2.

Referenced by [4], [5].

Overlap of [1] aba=aa with [3] baa=aab:

Critical pair: aaab=aaa.

Defines rule #4.

Referenced by [6].

Overlap of [3] baa=aab with [1] aba=aa:

Critical pair: baaa=aabba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #6.

Overlap of [4] aaab=aaa with [2] bbb=aa:

Critical pair: aaaaa=aaabb.

Reduce RHS:

Defines rule #5.