Certificate for #14584 ⟨a, b | aaba=a, babbb=b⟩

Completion settings:

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

Axiom: aaba=a.

Referenced by [3], [4].

Axiom: babbb=b.

Defines rule #1.

Referenced by [3], [6], [8], [9].

Overlap of [1] aaba=a with [2] babbb=b:

Critical pair: aab=abbb.

Defines rule #3.

Referenced by [4], [5], [7], [8].

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

Critical pair: abbba=a.

Defines rule #4.

Referenced by [5].

Overlap of [3] aab=abbb with [4] abbba=a:

Critical pair: aa=abbbbba.

Flip LHS and RHS.

Defines rule #5.

Referenced by [6], [7].

Overlap of [2] babbb=b with [5] abbbbba=aa:

Critical pair: baa=bbba.

Defines rule #6.

Referenced by [8].

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

Critical pair: aaa=abbbbbbba.

Defines rule #7.

Overlap of [6] baa=bbba with [3] aab=abbb:

Critical pair: babbb=bbbab.

Reduce LHS:

Flip LHS and RHS.

Referenced by [9].

Overlap of [2] babbb=b with [8] bbbab=b:

Critical pair: babb=bbab.

Flip LHS and RHS.

Defines rule #2.