Certificate for #20233 ⟨a, b | aba=a, baab=bbb⟩

Completion settings:

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

Axiom: aba=a.

Defines rule #4.

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

Axiom: baab=bbb.

Referenced by [3], [4], [7].

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

Critical pair: abbb=aab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5], [6], [8].

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

Critical pair: baa=bbba.

Defines rule #6.

Referenced by [7], [8].

Overlap of [3] aab=abbb with [1] aba=a:

Critical pair: aa=abbba.

Flip LHS and RHS.

Defines rule #5.

Referenced by [6].

Overlap of [3] aab=abbb with [5] abbba=aa:

Critical pair: aaa=abbbbba.

Defines rule #7.

Overlap of [2] baab=bbb with [4] baa=bbba:

Critical pair: bbbab=bbb.

Defines rule #2.

Referenced by [8].

Overlap of [4] baa=bbba with [3] aab=abbb:

Critical pair: babbb=bbbab.

Reduce RHS:

Defines rule #1.