Certificate for #4980 ⟨a, b | aaaabba=aaab⟩

Completion settings:

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

Axiom: aaaabba=aaab.

Referenced by [3].

Axiom: aaab=c.

Defines rule #4.

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

Simplify [1] aaaabba=aaab.

Reduce RHS:

Referenced by [4].

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

Critical pair: acba=c.

Defines rule #3.

Referenced by [5], [6].

Overlap of [4] acba=c with [4] acba=c:

Critical pair: acbc=ccba.

Defines rule #2.

Referenced by [6].

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

Critical pair: acbc=caab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.