Certificate for #6092 ⟨a, b, c | ab=c, bcc=ba⟩

Completion settings:

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

Axiom: ab=c.

Defines rule #3.

Referenced by [3], [4], [5].

Axiom: bcc=ba.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] ab=c with [2] ba=bcc:

Critical pair: abcc=ca.

Reduce LHS:

Flip LHS and RHS.

Defines rule #5.

Referenced by [5].

Overlap of [2] ba=bcc with [1] ab=c:

Critical pair: bc=bccb.

Flip LHS and RHS.

Defines rule #1.

Overlap of [3] ca=ccc with [1] ab=c:

Critical pair: cc=cccb.

Flip LHS and RHS.

Defines rule #2.