Certificate for #1252 ⟨a, b | abaab=bbab⟩

Completion settings:

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

Axiom: abaab=bbab.

Referenced by [3].

Axiom: ab=c.

Defines rule #1.

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

Simplify [1] abaab=bbab.

Reduce RHS:

Referenced by [4].

Overlap of [3] abaab=bbc with [2] ab=c:

Critical pair: caab=bbc.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [2] ab=c with [4] bbc=cac:

Critical pair: acac=cbc.

Defines rule #3.

Referenced by [6].

Overlap of [5] acac=cbc with [5] acac=cbc:

Critical pair: accbc=cbcac.

Defines rule #4.