Certificate for #16079 ⟨a, b | aaa=bb, bbbb=ab⟩

Completion settings:

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

Axiom: aaa=bb.

Defines rule #4.

Referenced by [3], [4].

Axiom: bbbb=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

Overlap of [1] aaa=bb with [1] aaa=bb:

Critical pair: abb=bba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [1] aaa=bb with [2] ab=bbbb:

Critical pair: aabbbb=bbb.

Reduce LHS:

Defines rule #1.