Certificate for #6489 ⟨a, b | aba=b, aaaab=b⟩

Completion settings:

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

Axiom: aba=b.

Referenced by [3], [4], [5], [6].

Axiom: aaaab=b.

Referenced by [3].

Overlap of [2] aaaab=b with [1] aba=b:

Critical pair: aaab=ba.

Referenced by [4].

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

Critical pair: aab=baa.

Referenced by [5].

Overlap of [4] aab=baa with [1] aba=b:

Critical pair: ab=baaa.

Defines rule #2.

Referenced by [6].

Overlap of [1] aba=b with [5] ab=baaa:

Critical pair: baaaa=b.

Defines rule #1.