Certificate for #3 ⟨a, b, c | ab=1, bc=1⟩

Back:⟨a, b, c | ab=1, bc=1⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #2.

Referenced by [3].

[2] bc=1

Axiom: bc=1.

Referenced by [3], [4].

[3] c=a

Overlap of [1] ab=1 with [2] bc=1:

a b bc

Critical pair: a=c.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

[4] ba=1

Overlap of [2] bc=1 with [3] c=a:

b c c

Critical pair: ba=1.

Defines rule #3.