Certificate for #4617 ⟨a, b | aaaa=a, aaba=b⟩

Completion settings:

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

Axiom: aaaa=a.

Defines rule #2.

Referenced by [3].

Axiom: aaba=b.

Referenced by [3], [4].

Overlap of [1] aaaa=a with [2] aaba=b:

Critical pair: aaab=aaba.

Reduce RHS:

Defines rule #3.

Referenced by [4].

Overlap of [3] aaab=b with [2] aaba=b:

Critical pair: ab=ba.

Flip LHS and RHS.

Defines rule #1.