Certificate for #5350 ⟨a, b, c | ab=a, baca=b⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3], [4].

Axiom: baca=b.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] ab=a with [2] baca=b:

Critical pair: ab=aaca.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [2] baca=b with [1] ab=a:

Critical pair: baca=bb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.