Certificate for #1317 ⟨a, b, c | ab=1, acac=c⟩

Back:⟨a, b, c | ab=1, acac=c⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

[2] acac=c

Axiom: acac=c.

Referenced by [3], [4].

[3] cac=acc

Overlap of [2] acac=c with [2] acac=c:

ac ac acac

Critical pair: acc=cac.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] aacc=c

Overlap of [2] acac=c with [3] cac=acc:

a cac cac

Critical pair: aacc=c.

Defines rule #3.