Certificate for #248 ⟨a, b | aaba=aab⟩

Completion settings:

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

Axiom: aaba=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #3.

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

Simplify [1] aaba=aab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaba=c with [2] aab=c:

Critical pair: ca=c.

Defines rule #1.

Referenced by [5].

Overlap of [4] ca=c with [2] aab=c:

Critical pair: cc=cab.

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.