Certificate for #3007 ⟨a, b, c | aba=a, abc=b⟩

Completion settings:

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

Axiom: aba=a.

Defines rule #1.

Referenced by [3].

Axiom: abc=b.

Defines rule #3.

Referenced by [3].

Overlap of [1] aba=a with [2] abc=b:

Critical pair: abb=abc.

Reduce RHS:

Defines rule #2.