Certificate for #2062 ⟨a, b | ababbaab=ba⟩

Completion settings:

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

Axiom: ababbaab=ba.

Referenced by [3].

Axiom: bbaab=c.

Defines rule #5.

Referenced by [3], [4], [5], [8], [9].

Overlap of [1] ababbaab=ba with [2] bbaab=c:

Critical pair: abac=ba.

Defines rule #2.

Referenced by [5], [6], [7].

Overlap of [2] bbaab=c with [2] bbaab=c:

Critical pair: bbaac=cbaab.

Defines rule #4.

Overlap of [2] bbaab=c with [3] abac=ba:

Critical pair: bbaba=cac.

Defines rule #7.

Referenced by [6], [7].

Overlap of [5] bbaba=cac with [3] abac=ba:

Critical pair: bbba=cacc.

Defines rule #6.

Referenced by [8].

Overlap of [5] bbaba=cac with [3] abac=ba:

Critical pair: bbabba=cacbac.

Defines rule #8.

Referenced by [9].

Overlap of [6] bbba=cacc with [2] bbaab=c:

Critical pair: bc=caccab.

Defines rule #1.

Overlap of [7] bbabba=cacbac with [2] bbaab=c:

Critical pair: bbac=cacbacab.

Defines rule #3.