Certificate for #5802 ⟨a, b | aabbba=bbaab⟩

Completion settings:

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

Axiom: aabbba=bbaab.

Referenced by [3].

Axiom: bbaab=c.

Defines rule #4.

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

Simplify [1] aabbba=bbaab.

Reduce RHS:

Defines rule #5.

Referenced by [5], [6].

Overlap of [2] bbaab=c with [2] bbaab=c:

Critical pair: bbaac=cbaab.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] aabbba=c with [2] bbaab=c:

Critical pair: aabc=cab.

Flip LHS and RHS.

Defines rule #1.

Overlap of [2] bbaab=c with [3] aabbba=c:

Critical pair: bbc=cbba.

Flip LHS and RHS.

Defines rule #2.