Certificate for #5845 ⟨a, b, c | ab=a, baa=cc⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [4].

Axiom: baa=cc.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3].

Overlap of [2] cc=baa with [2] cc=baa:

Critical pair: cbaa=baac.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

Overlap of [1] ab=a with [3] baac=cbaa:

Critical pair: acbaa=aaac.

Flip LHS and RHS.

Defines rule #2.