Certificate for #2074 ⟨a, b | aab=b, babb=a⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #3.

Referenced by [3], [4], [5], [6].

Axiom: babb=a.

Referenced by [3], [4], [5], [6].

Overlap of [1] aab=b with [2] babb=a:

Critical pair: aaa=babb.

Reduce RHS:

Defines rule #2.

Overlap of [2] babb=a with [2] babb=a:

Critical pair: baba=aabb.

Reduce RHS:

Referenced by [5].

Overlap of [2] babb=a with [4] baba=bb:

Critical pair: babbb=aaba.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [6].

Overlap of [2] babb=a with [5] ba=ab:

Critical pair: babab=aa.

Reduce LHS:

Defines rule #4.