Certificate for #568 ⟨a, b | aaa=a, abb=b⟩

Completion settings:

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

Axiom: aaa=a.

Defines rule #3.

Referenced by [3].

Axiom: abb=b.

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

Overlap of [1] aaa=a with [2] abb=b:

Critical pair: aab=abb.

Reduce RHS:

Referenced by [4].

Overlap of [3] aab=b with [2] abb=b:

Critical pair: ab=bb.

Defines rule #1.

Referenced by [5].

Overlap of [2] abb=b with [4] ab=bb:

Critical pair: bbb=b.

Defines rule #2.