Certificate for #5896 ⟨a, b, c | ab=a, bcb=cc⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: bcb=cc.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] ab=a with [2] bcb=cc:

Critical pair: acc=acb.

Flip LHS and RHS.

Defines rule #2.

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

Critical pair: bccc=cccb.

Flip LHS and RHS.

Defines rule #3.