Certificate for #4134 ⟨a, b | aba=aaa, baa=a⟩

Completion settings:

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

Axiom: aba=aaa.

Referenced by [3].

Axiom: baa=a.

Referenced by [3], [4], [5].

Overlap of [1] aba=aaa with [2] baa=a:

Critical pair: aa=aaaa.

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] baa=a with [3] aaaa=aa:

Critical pair: baa=aaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [2] baa=a with [4] aaa=a:

Critical pair: ba=aa.

Defines rule #1.