Certificate for #5470 ⟨a, b | aaaaba=aaaab⟩

Completion settings:

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

Axiom: aaaaba=aaaab.

Referenced by [3].

Axiom: aaaab=c.

Defines rule #3.

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

Simplify [1] aaaaba=aaaab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaaaba=c with [2] aaaab=c:

Critical pair: ca=c.

Defines rule #1.

Referenced by [5].

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

Critical pair: cc=caaab.

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.