Certificate for #4456 ⟨a, b, c | aba=1, bcbc=c⟩

Completion settings:

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

Axiom: aba=1.

Referenced by [3], [5].

Axiom: bcbc=c.

Defines rule #5.

Referenced by [4], [6].

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

Critical pair: ab=ba.

Flip LHS and RHS.

Defines rule #1.

Referenced by [5].

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

Critical pair: bcc=cbc.

Defines rule #4.

Overlap of [1] aba=1 with [3] ba=ab:

Critical pair: aab=1.

Defines rule #3.

Referenced by [6].

Overlap of [5] aab=1 with [2] bcbc=c:

Critical pair: aac=cbc.

Defines rule #2.