Certificate for #16057 ⟨a, b | aaa=bb, aabb=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], [6].

Axiom: aabb=ab.

Referenced by [4], [5].

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

Critical pair: abb=bba.

Flip LHS and RHS.

Referenced by [7].

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

Critical pair: aab=bbbb.

Referenced by [5], [6].

Overlap of [2] aabb=ab with [4] aab=bbbb:

Critical pair: bbbbb=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [6], [7].

Overlap of [1] aaa=bb with [5] ab=bbbbb:

Critical pair: aabbbbb=bbb.

Reduce LHS:

Defines rule #1.

Simplify [3] bba=abb.

Reduce RHS:

Defines rule #3.