Certificate for #16518 ⟨a, b | aab=bb, abb=aaa⟩

Completion settings:

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

Axiom: aab=bb.

Flip LHS and RHS.

Defines rule #4.

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

Axiom: abb=aaa.

Reduce LHS:

Defines rule #3.

Referenced by [3], [4].

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

Critical pair: baab=aabb.

Reduce RHS:

Defines rule #5.

Referenced by [5].

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

Critical pair: aaaaab=aaab.

Reduce LHS:

Reduce RHS:

Defines rule #1.

Referenced by [5], [6].

Overlap of [1] bb=aab with [3] baab=aaaa:

Critical pair: baaaa=aabaab.

Reduce RHS:

Referenced by [6].

Overlap of [5] baaaa=aaaa with [4] aaaaa=aaa:

Critical pair: baaa=aaaaa.

Reduce RHS:

Defines rule #2.