Certificate for #5351 ⟨a, b | ababaab=bbaa⟩

Completion settings:

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

Axiom: ababaab=bbaa.

Referenced by [3].

Axiom: ab=c.

Defines rule #1.

Referenced by [3], [4], [5], [6].

Overlap of [1] ababaab=bbaa with [2] ab=c:

Critical pair: cabaab=bbaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

Referenced by [4], [5].

Overlap of [2] ab=c with [3] bbaa=ccac:

Critical pair: accac=cbaa.

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [3] bbaa=ccac with [2] ab=c:

Critical pair: bbac=ccacb.

Defines rule #5.

Overlap of [4] cbaa=accac with [2] ab=c:

Critical pair: cbac=accacb.

Defines rule #3.