Certificate for #4308 ⟨a, b | ababbaaab=ba⟩

Completion settings:

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

Axiom: ababbaaab=ba.

Referenced by [3].

Axiom: bbaaab=c.

Defines rule #6.

Referenced by [3], [4], [5], [10], [11], [12].

Overlap of [1] ababbaaab=ba with [2] bbaaab=c:

Critical pair: abac=ba.

Defines rule #2.

Referenced by [5], [6], [7], [8], [9].

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

Critical pair: bbaaac=cbaaab.

Defines rule #5.

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

Critical pair: bbaaba=cac.

Defines rule #9.

Referenced by [6], [7].

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

Critical pair: bbaba=cacc.

Defines rule #8.

Referenced by [8], [9].

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

Critical pair: bbaabba=cacbac.

Defines rule #11.

Referenced by [12].

Overlap of [6] bbaba=cacc with [3] abac=ba:

Critical pair: bbba=caccc.

Defines rule #7.

Referenced by [10].

Overlap of [6] bbaba=cacc with [3] abac=ba:

Critical pair: bbabba=caccbac.

Defines rule #10.

Referenced by [11].

Overlap of [8] bbba=caccc with [2] bbaaab=c:

Critical pair: bc=cacccaab.

Defines rule #1.

Overlap of [9] bbabba=caccbac with [2] bbaaab=c:

Critical pair: bbac=caccbacaab.

Defines rule #3.

Overlap of [7] bbaabba=cacbac with [2] bbaaab=c:

Critical pair: bbaac=cacbacaab.

Defines rule #4.