Certificate for #3476 ⟨a, b, c | ba=ac, cbb=c⟩

Completion settings:

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

Axiom: ba=ac.

Defines rule #4.

Referenced by [4].

Axiom: cbb=c.

Defines rule #1.

Referenced by [4], [5].

Axiom: ca=d.

Defines rule #5.

Referenced by [4], [6].

Overlap of [2] cbb=c with [1] ba=ac:

Critical pair: cbac=ca.

Reduce LHS:

Reduce RHS:

Defines rule #3.

Referenced by [5], [6].

Overlap of [4] dcc=d with [2] cbb=c:

Critical pair: dcc=dbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] dcc=d with [3] ca=d:

Critical pair: dcd=da.

Flip LHS and RHS.

Defines rule #6.