Certificate for #4423 ⟨a, b, c | aba=1, accc=c⟩

Completion settings:

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

Axiom: aba=1.

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

Axiom: accc=c.

Defines rule #1.

Referenced by [4], [5].

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

Critical pair: ab=ba.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5], [6].

Overlap of [1] aba=1 with [2] accc=c:

Critical pair: abc=ccc.

Referenced by [5].

Overlap of [3] ba=ab with [2] accc=c:

Critical pair: bc=abccc.

Reduce RHS:

Defines rule #2.

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

Critical pair: aab=1.

Defines rule #4.