Certificate for #5667 ⟨a, b | aabaab=babba⟩

Completion settings:

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

Axiom: aabaab=babba.

Referenced by [3].

Axiom: aab=c.

Defines rule #4.

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

Overlap of [1] aabaab=babba with [2] aab=c:

Critical pair: caab=babba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

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

Overlap of [2] aab=c with [3] babba=cc:

Critical pair: aacc=cabba.

Defines rule #5.

Overlap of [3] babba=cc with [2] aab=c:

Critical pair: babbc=ccab.

Defines rule #1.

Overlap of [3] babba=cc with [3] babba=cc:

Critical pair: babcc=ccbba.

Defines rule #2.