Certificate for #2077 ⟨a, b | abbaabba=bb⟩

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=bb.

Referenced by [3].

Axiom: bba=c.

Referenced by [3], [4].

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

Critical pair: acabba=bb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #5.

Referenced by [4], [6].

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

Critical pair: acaca=c.

Defines rule #2.

Referenced by [5], [7].

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

Critical pair: acc=cca.

Flip LHS and RHS.

Defines rule #1.

Overlap of [3] bb=acac with [3] bb=acac:

Critical pair: bacac=acacb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [7].

Overlap of [4] acaca=c with [6] acacb=bacac:

Critical pair: acbacac=ccb.

Flip LHS and RHS.

Defines rule #3.