Certificate for #1849 ⟨a, b, c | aba=bb, abc=1⟩

Completion settings:

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

Axiom: aba=bb.

Defines rule #1.

Referenced by [3], [4].

Axiom: abc=1.

Defines rule #2.

Referenced by [4].

Overlap of [1] aba=bb with [1] aba=bb:

Critical pair: abbb=bbba.

Flip LHS and RHS.

Defines rule #3.

Overlap of [1] aba=bb with [2] abc=1:

Critical pair: ab=bbbc.

Flip LHS and RHS.

Defines rule #4.