Certificate for #1117 ⟨a, b | aa=1, ababb=b⟩

Completion settings:

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

Axiom: aa=1.

Defines rule #1.

Referenced by [3].

Axiom: ababb=b.

Referenced by [3], [4].

Overlap of [1] aa=1 with [2] ababb=b:

Critical pair: ab=babb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

Overlap of [3] babb=ab with [3] babb=ab:

Critical pair: babab=ababb.

Reduce RHS:

Defines rule #3.