Certificate for #12149 ⟨a, b | aaaa=aa, aaab=b⟩

Completion settings:

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

Axiom: aaaa=aa.

Defines rule #2.

Referenced by [3], [4].

Axiom: aaab=b.

Referenced by [3], [4].

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

Critical pair: ab=aab.

Flip LHS and RHS.

Referenced by [4].

Overlap of [1] aaaa=aa with [3] aab=ab:

Critical pair: aaab=aab.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.