Certificate for #4444 ⟨a, b, c | aba=1, bbbc=c⟩

Completion settings:

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

Axiom: aba=1.

Referenced by [3], [4].

Axiom: bbbc=c.

Defines rule #1.

Referenced by [5].

Overlap of [1] aba=1 with [1] aba=1:

Critical pair: ab=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

Overlap of [1] aba=1 with [3] ba=ab:

Critical pair: aab=1.

Defines rule #3.

Referenced by [5].

Overlap of [4] aab=1 with [2] bbbc=c:

Critical pair: aac=bbc.

Defines rule #4.