Certificate for #20884 ⟨a, b | bb=aa, aaaaa=aa⟩

Completion settings:

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

Axiom: bb=aa.

Defines rule #1.

Referenced by [3].

Axiom: aaaaa=aa.

Defines rule #4.

Referenced by [4], [5].

Overlap of [1] bb=aa with [1] bb=aa:

Critical pair: baa=aab.

Defines rule #2.

Referenced by [4].

Overlap of [3] baa=aab with [2] aaaaa=aa:

Critical pair: baa=aabaaa.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [2] aaaaa=aa with [4] aaaaba=aab:

Critical pair: aaab=aaba.

Flip LHS and RHS.

Defines rule #3.