Certificate for #1875 ⟨a, b | aaaabbba=ab⟩

Completion settings:

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

Axiom: aaaabbba=ab.

Referenced by [3].

Axiom: bbba=c.

Defines rule #7.

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

Overlap of [1] aaaabbba=ab with [2] bbba=c:

Critical pair: aaaac=ab.

Flip LHS and RHS.

Defines rule #5.

Referenced by [4], [5].

Overlap of [2] bbba=c with [3] ab=aaaac:

Critical pair: bbbaaaac=cb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #6.

Referenced by [5], [6].

Overlap of [3] ab=aaaac with [2] bbba=c:

Critical pair: ac=aaaacbba.

Reduce RHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [7].

Overlap of [4] cb=caaac with [2] bbba=c:

Critical pair: cc=caaacbba.

Reduce RHS:

Flip LHS and RHS.

Defines rule #4.

Referenced by [7], [8].

Overlap of [5] aaaacaaacaaaca=ac with [6] caaacaaacaaaca=cc:

Critical pair: aaaacc=acaaca.

Defines rule #1.

Overlap of [6] caaacaaacaaaca=cc with [6] caaacaaacaaaca=cc:

Critical pair: caaacc=ccaaca.

Defines rule #2.