Certificate for #19564 ⟨a, b | aab=b, abbbb=aa⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #2.

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

Axiom: abbbb=aa.

Referenced by [3], [6], [7].

Overlap of [1] aab=b with [2] abbbb=aa:

Critical pair: aaa=bbbb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [4].

Overlap of [3] bbbb=aaa with [3] bbbb=aaa:

Critical pair: baaa=aaab.

Reduce RHS:

Referenced by [5], [8].

Overlap of [4] baaa=ab with [1] aab=b:

Critical pair: bab=abb.

Referenced by [6].

Overlap of [5] bab=abb with [2] abbbb=aa:

Critical pair: baa=abbbbb.

Reduce RHS:

Referenced by [7], [8].

Overlap of [2] abbbb=aa with [6] baa=b:

Critical pair: abbbb=aaaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [4] baaa=ab with [6] baa=b:

Critical pair: ba=ab.

Defines rule #1.