Certificate for #1985 ⟨a, b | aaa=a, aaba=b⟩

Completion settings:

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

Axiom: aaa=a.

Defines rule #2.

Referenced by [3].

Axiom: aaba=b.

Referenced by [3], [4].

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

Critical pair: aab=aaba.

Reduce RHS:

Defines rule #3.

Referenced by [4].

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

Critical pair: ba=b.

Defines rule #1.