Certificate for #3031 ⟨a, b, c | aba=b, aca=c⟩

Completion settings:

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

Axiom: aba=b.

Defines rule #1.

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

Axiom: aca=c.

Defines rule #2.

Referenced by [4], [5], [6].

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

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #3.

Overlap of [1] aba=b with [2] aca=c:

Critical pair: abc=bca.

Flip LHS and RHS.

Defines rule #4.

Overlap of [2] aca=c with [1] aba=b:

Critical pair: acb=cba.

Flip LHS and RHS.

Defines rule #5.

Overlap of [2] aca=c with [2] aca=c:

Critical pair: acc=cca.

Flip LHS and RHS.

Defines rule #6.