Certificate for #5311 ⟨a, b | abaabab=abaa⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with b < a < c
• Auxiliary generators:
  1. abaa=c

Axiom: abaabab=abaa.

Referenced by [3].

Axiom: abaa=c.

Defines rule #2.

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

Simplify [1] abaabab=abaa.

Reduce RHS:

Referenced by [4].

Overlap of [3] abaabab=c with [2] abaa=c:

Critical pair: cbab=c.

Defines rule #3.

Referenced by [6].

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

Critical pair: abac=cbaa.

Flip LHS and RHS.

Defines rule #4.

Overlap of [4] cbab=c with [2] abaa=c:

Critical pair: cbc=caa.

Flip LHS and RHS.

Defines rule #1.