Certificate for #1166 ⟨a, b | aaaba=aaab⟩

Completion settings:

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

Axiom: aaaba=aaab.

Referenced by [3].

Axiom: aaab=c.

Defines rule #3.

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

Simplify [1] aaaba=aaab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaaba=c with [2] aaab=c:

Critical pair: ca=c.

Defines rule #1.

Referenced by [5].

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

Critical pair: cc=caab.

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.