Certificate for #4316 ⟨a, b | ababbbaab=ba⟩

Completion settings:

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

Axiom: ababbbaab=ba.

Referenced by [3].

Axiom: bbbaab=c.

Defines rule #5.

Referenced by [3], [4], [5], [8], [10].

Overlap of [1] ababbbaab=ba with [2] bbbaab=c:

Critical pair: abac=ba.

Defines rule #2.

Referenced by [5], [6], [7], [9].

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

Critical pair: bbbaac=cbbaab.

Defines rule #4.

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

Critical pair: bbbaba=cac.

Defines rule #7.

Referenced by [6], [7].

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

Critical pair: bbbba=cacc.

Defines rule #6.

Referenced by [8].

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

Critical pair: bbbabba=cacbac.

Defines rule #8.

Referenced by [9].

Overlap of [6] bbbba=cacc with [2] bbbaab=c:

Critical pair: bc=caccab.

Defines rule #1.

Overlap of [7] bbbabba=cacbac with [3] abac=ba:

Critical pair: bbbabbba=cacbacbac.

Defines rule #9.

Referenced by [10].

Overlap of [9] bbbabbba=cacbacbac with [2] bbbaab=c:

Critical pair: bbbac=cacbacbacab.

Defines rule #3.