Certificate for #4402 ⟨a, b, c | aba=1, abcc=c⟩

Completion settings:

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

Axiom: aba=1.

Referenced by [3], [4], [6].

Axiom: abcc=c.

Referenced by [5].

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

Critical pair: ab=ba.

Defines rule #1.

Referenced by [4], [5].

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

Critical pair: baa=1.

Defines rule #3.

Simplify [2] abcc=c.

Reduce LHS:

Referenced by [6], [7].

Overlap of [1] aba=1 with [5] bacc=c:

Critical pair: ac=cc.

Defines rule #2.

Referenced by [7].

Overlap of [5] bacc=c with [6] ac=cc:

Critical pair: bccc=c.

Defines rule #4.