Certificate for #20228 ⟨a, b | aba=a, baab=aaa⟩

Completion settings:

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

Axiom: aba=a.

Defines rule #3.

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

Axiom: baab=aaa.

Referenced by [3], [4].

Overlap of [1] aba=a with [2] baab=aaa:

Critical pair: aaaa=aab.

Flip LHS and RHS.

Defines rule #4.

Overlap of [2] baab=aaa with [1] aba=a:

Critical pair: baa=aaaa.

Defines rule #2.

Referenced by [5].

Overlap of [1] aba=a with [4] baa=aaaa:

Critical pair: aaaaa=aa.

Defines rule #1.