Certificate for #532 ⟨a, b | aabba=abb⟩

Completion settings:

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

Axiom: aabba=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #1.

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

Simplify [1] aabba=abb.

Reduce RHS:

Referenced by [4].

Overlap of [3] aabba=c with [2] abb=c:

Critical pair: aca=c.

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] aca=c with [2] abb=c:

Critical pair: acc=cbb.

Flip LHS and RHS.

Defines rule #3.

Overlap of [4] aca=c with [4] aca=c:

Critical pair: acc=cca.

Flip LHS and RHS.

Defines rule #4.