Certificate for #6475 ⟨a, b | aba=a, baaab=b⟩

Completion settings:

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

Axiom: aba=a.

Defines rule #2.

Referenced by [3], [4].

Axiom: baaab=b.

Referenced by [3], [5].

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

Critical pair: ab=aaab.

Flip LHS and RHS.

Referenced by [4].

Overlap of [3] aaab=ab with [1] aba=a:

Critical pair: aaa=aba.

Reduce RHS:

Defines rule #1.

Referenced by [5].

Overlap of [2] baaab=b with [4] aaa=a:

Critical pair: bab=b.

Defines rule #3.