Certificate for #3889 ⟨a, b | aaaaabbba=ab⟩

Completion settings:

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

Axiom: aaaaabbba=ab.

Referenced by [3].

Axiom: bbba=c.

Defines rule #7.

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

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

Critical pair: aaaaac=ab.

Flip LHS and RHS.

Defines rule #5.

Referenced by [4], [5].

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

Critical pair: bbbaaaaac=cb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #6.

Referenced by [5], [6].

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

Critical pair: ac=aaaaacbba.

Reduce RHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [7].

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

Critical pair: cc=caaaacbba.

Reduce RHS:

Flip LHS and RHS.

Defines rule #4.

Referenced by [7], [8].

Overlap of [5] aaaaacaaaacaaaaca=ac with [6] caaaacaaaacaaaaca=cc:

Critical pair: aaaaacc=acaaaca.

Defines rule #1.

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

Critical pair: caaaacc=ccaaaca.

Defines rule #2.