Certificate for #16078 ⟨a, b | aaa=bb, bbbb=aa⟩

Completion settings:

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

Axiom: aaa=bb.

Referenced by [3].

Axiom: bbbb=aa.

Flip LHS and RHS.

Defines rule #4.

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

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

Critical pair: bbbba=bb.

Referenced by [4], [6], [7].

Overlap of [2] aa=bbbb with [2] aa=bbbb:

Critical pair: abbbb=bbbba.

Reduce RHS:

Referenced by [5], [7].

Overlap of [2] aa=bbbb with [4] abbbb=bb:

Critical pair: abb=bbbbbbbb.

Defines rule #2.

Referenced by [7].

Overlap of [3] bbbba=bb with [2] aa=bbbb:

Critical pair: bbbbbbbb=bba.

Flip LHS and RHS.

Defines rule #3.

Overlap of [4] abbbb=bb with [3] bbbba=bb:

Critical pair: abbbb=bbbba.

Reduce LHS:

Reduce RHS:

Defines rule #1.