Certificate for #4 ⟨a, b | aa=a, ab=1⟩

Completion settings:

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

Axiom: aa=a.

Referenced by [3].

Axiom: ab=1.

Referenced by [3], [4].

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

Critical pair: a=ab.

Reduce RHS:

Defines rule #1.

Referenced by [4].

Overlap of [2] ab=1 with [3] a=1:

Critical pair: b=1.

Defines rule #2.