Certificate for #1625 ⟨a, b, c | aab=ab, cac=1⟩

Completion settings:

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

Axiom: aab=ab.

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 #3.

Referenced by [5], [6].

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

Critical pair: ccab=ab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [4] cca=1 with [5] ab=b:

Critical pair: ccb=b.

Defines rule #4.