Certificate for #19163 ⟨a, b | aba=b, aaaaab=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], [7].

Axiom: aaaaab=b.

Referenced by [3].

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

Critical pair: aaaab=ba.

Referenced by [4].

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

Critical pair: aaab=baa.

Referenced by [5].

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

Critical pair: aab=baaa.

Referenced by [6].

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

Critical pair: ab=baaaa.

Defines rule #2.

Referenced by [7].

Overlap of [1] aba=b with [6] ab=baaaa:

Critical pair: baaaaa=b.

Defines rule #1.