Certificate for #516 ⟨a, b | aabaa=aab⟩

Completion settings:

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

Axiom: aabaa=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #2.

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

Simplify [1] aabaa=aab.

Reduce RHS:

Referenced by [4].

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

Critical pair: caa=c.

Defines rule #3.

Referenced by [5], [6].

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

Critical pair: cc=cb.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: cac=cab.

Flip LHS and RHS.

Defines rule #4.