Certificate for #14334 ⟨a, b | aaaa=a, aaaba=b⟩

Completion settings:

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

Axiom: aaaa=a.

Defines rule #2.

Referenced by [3].

Axiom: aaaba=b.

Referenced by [3], [4].

Overlap of [1] aaaa=a with [2] aaaba=b:

Critical pair: ab=aba.

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [2] aaaba=b with [3] aba=ab:

Critical pair: aaab=b.

Defines rule #3.

Referenced by [5].

Overlap of [4] aaab=b with [3] aba=ab:

Critical pair: aaab=ba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.