Certificate for #16506 ⟨a, b | aab=ab, bbb=aaa⟩

Completion settings:

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

Axiom: aab=ab.

Referenced by [3], [5].

Axiom: bbb=aaa.

Flip LHS and RHS.

Defines rule #4.

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

Overlap of [2] aaa=bbb with [1] aab=ab:

Critical pair: aab=bbbb.

Reduce LHS:

Defines rule #2.

Referenced by [4], [5].

Overlap of [2] aaa=bbb with [2] aaa=bbb:

Critical pair: abbb=bbba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [2] aaa=bbb with [3] ab=bbbb:

Critical pair: aabbbb=bbbb.

Reduce LHS:

Defines rule #1.