Certificate for #312 ⟨a, b, c | aab=b, cac=1⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #4.

Referenced by [5].

Axiom: cac=1.

Referenced by [3], [4].

Overlap of [2] cac=1 with [2] cac=1:

Critical pair: ca=ac.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

Overlap of [2] cac=1 with [3] ac=ca:

Critical pair: cca=1.

Defines rule #2.

Referenced by [5].

Overlap of [4] cca=1 with [1] aab=b:

Critical pair: ccb=ab.

Defines rule #3.