Certificate for #5570 ⟨a, b, c | ab=c, bacc=c⟩

Completion settings:

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

Axiom: ab=c.

Defines rule #5.

Referenced by [5].

Axiom: bacc=c.

Referenced by [4].

Axiom: ac=d.

Defines rule #6.

Referenced by [4], [5], [6].

Overlap of [2] bacc=c with [3] ac=d:

Critical pair: bdc=c.

Defines rule #1.

Referenced by [5], [7].

Overlap of [1] ab=c with [4] bdc=c:

Critical pair: ac=cdc.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [6], [7], [8].

Overlap of [3] ac=d with [5] cdc=d:

Critical pair: ad=ddc.

Defines rule #7.

Overlap of [4] bdc=c with [5] cdc=d:

Critical pair: bdd=cdc.

Reduce RHS:

Defines rule #3.

Overlap of [5] cdc=d with [5] cdc=d:

Critical pair: cdd=ddc.

Defines rule #4.