Certificate for #1104 ⟨a, b | abaaab=aab⟩

Completion settings:

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

Axiom: abaaab=aab.

Referenced by [3].

Axiom: aaab=c.

Referenced by [3], [4].

Overlap of [1] abaaab=aab with [2] aaab=c:

Critical pair: abc=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4], [5].

Overlap of [2] aaab=c with [3] aab=abc:

Critical pair: aabc=c.

Reduce LHS:

Defines rule #3.

Referenced by [5].

Overlap of [3] aab=abc with [4] abcc=c:

Critical pair: ac=abccc.

Reduce RHS:

Defines rule #1.