Certificate for #12462 ⟨a, b | aabb=ab, baaa=b⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(b) = 0; deg(a) = 1

Axiom: aabb=ab.

Referenced by [3], [4], [5], [7], [8].

Axiom: baaa=b.

Defines rule #5.

Referenced by [3], [4].

Overlap of [2] baaa=b with [1] aabb=ab:

Critical pair: baab=bbb.

Referenced by [5].

Overlap of [2] baaa=b with [1] aabb=ab:

Critical pair: baaab=babb.

Reduce LHS:

Flip LHS and RHS.

Referenced by [6].

Overlap of [3] baab=bbb with [1] aabb=ab:

Critical pair: bab=bbbb.

Defines rule #3.

Referenced by [6].

Overlap of [4] babb=bb with [5] bab=bbbb:

Critical pair: bbbbb=bb.

Defines rule #1.

Referenced by [7].

Overlap of [1] aabb=ab with [6] bbbbb=bb:

Critical pair: aabb=abbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [8].

Overlap of [1] aabb=ab with [7] abbbb=ab:

Critical pair: aab=abbb.

Defines rule #4.