Certificate for #2564 ⟨a, b | abaaab=aaab⟩

Completion settings:

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

Axiom: abaaab=aaab.

Referenced by [3].

Axiom: aaab=c.

Defines rule #3.

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

Simplify [1] abaaab=aaab.

Reduce RHS:

Referenced by [4].

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

Critical pair: abc=c.

Defines rule #2.

Referenced by [5].

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

Critical pair: aac=cc.

Defines rule #1.