Certificate for #554 ⟨a, b, c | bb=ac, ca=b⟩

Completion settings:

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

Axiom: bb=ac.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3], [4].

Axiom: ca=b.

Defines rule #2.

Referenced by [3], [4].

Overlap of [1] ac=bb with [2] ca=b:

Critical pair: ab=bba.

Flip LHS and RHS.

Defines rule #1.

Overlap of [2] ca=b with [1] ac=bb:

Critical pair: cbb=bc.

Flip LHS and RHS.

Defines rule #4.