Certificate for #797 ⟨a, b, c | ab=a, bacb=1⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: bacb=1.

Referenced by [3], [4], [5], [6].

Overlap of [1] ab=a with [2] bacb=1:

Critical pair: a=aacb.

Flip LHS and RHS.

Referenced by [5].

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

Critical pair: bac=acb.

Defines rule #3.

Referenced by [6].

Overlap of [3] aacb=a with [2] bacb=1:

Critical pair: aac=aacb.

Reduce RHS:

Defines rule #2.

Overlap of [2] bacb=1 with [4] bac=acb:

Critical pair: acbb=1.

Defines rule #4.