Certificate for #860 ⟨a, b | abbaabba=b⟩

Completion settings:

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

Axiom: abbaabba=b.

Referenced by [3].

Axiom: bba=c.

Referenced by [3], [4].

Overlap of [1] abbaabba=b with [2] bba=c:

Critical pair: acabba=b.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

Overlap of [2] bba=c with [3] b=acac:

Critical pair: acacba=c.

Reduce LHS:

Defines rule #2.

Referenced by [5].

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

Critical pair: acc=cca.

Flip LHS and RHS.

Defines rule #1.