Certificate for #2483 ⟨a, b | aabaab=abaa⟩

Completion settings:

• Auxiliary generators:
  1. c = aab
• Reduction order:
  • Right-to-left shortlex with c < a < b

Axiom: aabaab=abaa.

Referenced by [3].

Axiom: aab=c.

Defines rule #3.

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

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

Critical pair: caab=abaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

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

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

Critical pair: acc=caa.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: abc=ccb.

Flip LHS and RHS.

Defines rule #2.

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

Critical pair: abac=ccab.

Flip LHS and RHS.

Defines rule #5.