Certificate for #5352 ⟨a, b | aaa=bb, bbb=aa⟩

Completion settings:

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

Axiom: aaa=bb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [2], [3], [4], [5].

Axiom: bbb=aa.

Reduce LHS:

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

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

Critical pair: baaa=aaab.

Reduce RHS:

Referenced by [4], [6].

Overlap of [1] bb=aaa with [3] baaa=aa:

Critical pair: baa=aaaaaa.

Defines rule #2.

Referenced by [6].

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

Critical pair: aaaaaa=aab.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] baaa=aa with [2] aaab=aa:

Critical pair: baaa=aaab.

Reduce LHS:

Reduce RHS:

Defines rule #1.