Certificate for #6762 ⟨a, b | aba=b, aaaa=aa⟩

Completion settings:

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

Axiom: aba=b.

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

Axiom: aaaa=aa.

Defines rule #3.

Referenced by [3].

Overlap of [2] aaaa=aa with [1] aba=b:

Critical pair: aaab=aaba.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaab=ab with [1] aba=b:

Critical pair: aab=aba.

Reduce RHS:

Defines rule #2.

Referenced by [5].

Overlap of [4] aab=b with [1] aba=b:

Critical pair: ab=ba.

Flip LHS and RHS.

Defines rule #1.