Certificate for #3744 ⟨a, b | abaabbaaba=b⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(c) = 0; deg(a) = 1; deg(b) = 2
• Auxiliary generators:
  1. abbaaba=c

Axiom: abaabbaaba=b.

Referenced by [3].

Axiom: abbaaba=c.

Defines rule #7.

Referenced by [3], [4], [5], [6], [7], [9].

Overlap of [1] abaabbaaba=b with [2] abbaaba=c:

Critical pair: abac=b.

Defines rule #1.

Referenced by [5], [6], [8].

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

Critical pair: abbaabc=cbbaaba.

Defines rule #6.

Overlap of [2] abbaaba=c with [3] abac=b:

Critical pair: abbab=cc.

Defines rule #5.

Referenced by [7], [8].

Overlap of [2] abbaaba=c with [3] abac=b:

Critical pair: abbaabb=cbac.

Defines rule #8.

Referenced by [9].

Overlap of [5] abbab=cc with [2] abbaaba=c:

Critical pair: abbc=ccbaaba.

Defines rule #2.

Overlap of [5] abbab=cc with [3] abac=b:

Critical pair: abbb=ccac.

Defines rule #4.

Overlap of [6] abbaabb=cbac with [2] abbaaba=c:

Critical pair: abbac=cbacaaba.

Defines rule #3.