Certificate for #1405 ⟨a, b, c | aa=1, abc=ca⟩

Completion settings:

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

Axiom: aa=1.

Defines rule #1.

Referenced by [3].

Axiom: abc=ca.

Referenced by [3].

Overlap of [1] aa=1 with [2] abc=ca:

Critical pair: aca=bc.

Flip LHS and RHS.

Defines rule #2.