Certificate for #1542 ⟨a, b, c | ab=1, ccc=ba⟩

Completion settings:

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

Axiom: ab=1.

Defines rule #4.

Referenced by [3], [4].

Axiom: ccc=ba.

Flip LHS and RHS.

Defines rule #3.

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

Overlap of [1] ab=1 with [2] ba=ccc:

Critical pair: accc=a.

Defines rule #1.

Referenced by [5].

Overlap of [2] ba=ccc with [1] ab=1:

Critical pair: b=cccb.

Flip LHS and RHS.

Defines rule #5.

Overlap of [2] ba=ccc with [3] accc=a:

Critical pair: ba=cccccc.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.