Certificate for #19686 ⟨a, b | aba=a, baaab=bb⟩

Completion settings:

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

Axiom: aba=a.

Defines rule #1.

Referenced by [3], [4].

Axiom: baaab=bb.

Defines rule #3.

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

Overlap of [1] aba=a with [2] baaab=bb:

Critical pair: abb=aaab.

Defines rule #4.

Overlap of [2] baaab=bb with [1] aba=a:

Critical pair: baaa=bba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [4] bba=baaa with [2] baaab=bb:

Critical pair: bbb=baaaaab.

Defines rule #5.