Certificate for #4620 ⟨a, b | aaaa=a, abab=a⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: aaaa=a.

Defines rule #3.

Referenced by [5].

Axiom: abab=a.

Referenced by [3], [4].

Overlap of [2] abab=a with [2] abab=a:

Critical pair: aba=aab.

Defines rule #1.

Referenced by [4].

Overlap of [2] abab=a with [3] aba=aab:

Critical pair: aabb=a.

Referenced by [5].

Overlap of [1] aaaa=a with [4] aabb=a:

Critical pair: aaa=abb.

Flip LHS and RHS.

Defines rule #2.