Certificate for #517 ⟨a, b, c | ab=aa, cc=a⟩

Completion settings:

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

Axiom: ab=aa.

Referenced by [3].

Axiom: cc=a.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3], [4].

Simplify [1] ab=aa.

Reduce RHS:

Referenced by [4].

Overlap of [3] ab=cccc with [2] a=cc:

Critical pair: ccb=cccc.

Defines rule #2.