Certificate for #3857 ⟨a, b | aaaaaabba=ab⟩

Completion settings:

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

Axiom: aaaaaabba=ab.

Referenced by [3].

Axiom: aabba=c.

Referenced by [3], [4].

Overlap of [1] aaaaaabba=ab with [2] aabba=c:

Critical pair: aaaac=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5].

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

Critical pair: aaaaacba=c.

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

Overlap of [4] aaaaacba=c with [3] ab=aaaac:

Critical pair: aaaaacbaaaac=cb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

Referenced by [6], [7].

Overlap of [4] aaaaacba=c with [4] aaaaacba=c:

Critical pair: aaaaacbc=caaaacba.

Reduce LHS:

Reduce RHS:

Defines rule #2.

Overlap of [4] aaaaacba=c with [5] cb=caaac:

Critical pair: aaaaacaaaca=c.

Defines rule #1.