Certificate for #1 ⟨a, b | aa=1, ab=1⟩

Completion settings:

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

Axiom: aa=1.

Defines rule #2.

Referenced by [3].

Axiom: ab=1.

Referenced by [3].

Overlap of [1] aa=1 with [2] ab=1:

Critical pair: a=b.

Flip LHS and RHS.

Defines rule #1.