Certificate for #13152 ⟨a, b | aba=aaa, bab=aa⟩

Completion settings:

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

Axiom: aba=aaa.

Defines rule #1.

Referenced by [4], [5].

Axiom: bab=aa.

Defines rule #2.

Referenced by [3], [4].

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

Critical pair: baaa=aaab.

Referenced by [6].

Overlap of [1] aba=aaa with [2] bab=aa:

Critical pair: aaa=aaab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5], [6].

Overlap of [4] aaab=aaa with [1] aba=aaa:

Critical pair: aaaaa=aaaa.

Defines rule #5.

Simplify [3] baaa=aaab.

Reduce RHS:

Defines rule #4.