Certificate for #2487 ⟨a, b | aabaab=baaa⟩

Completion settings:

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

Axiom: aabaab=baaa.

Referenced by [3].

Axiom: aab=c.

Defines rule #3.

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

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

Critical pair: caab=baaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

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

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

Critical pair: aacc=caaa.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: bac=ccb.

Flip LHS and RHS.

Defines rule #4.

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

Critical pair: baac=ccab.

Flip LHS and RHS.

Defines rule #5.