Certificate for #19704 ⟨a, b | aba=b, aaaaa=aa⟩

Completion settings:

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

Axiom: aba=b.

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

Axiom: aaaaa=aa.

Defines rule #1.

Referenced by [3].

Overlap of [1] aba=b with [2] aaaaa=aa:

Critical pair: abaa=baaaa.

Reduce LHS:

Flip LHS and RHS.

Referenced by [4].

Overlap of [1] aba=b with [3] baaaa=ba:

Critical pair: aba=baaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [1] aba=b with [4] baaa=b:

Critical pair: ab=baa.

Defines rule #3.