Certificate for #558 ⟨a, b, c | bb=ac, cc=a⟩

Completion settings:

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

Axiom: bb=ac.

Flip LHS and RHS.

Referenced by [3].

Axiom: cc=a.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

Overlap of [1] ac=bb with [2] a=cc:

Critical pair: ccc=bb.

Defines rule #2.

Referenced by [4].

Overlap of [3] ccc=bb with [3] ccc=bb:

Critical pair: cbb=bbc.

Defines rule #1.