Certificate for #1063 ⟨a, b, c | ab=c, bc=ab⟩

Completion settings:

[1] ab=c

Axiom: ab=c.

Defines rule #2.

Referenced by [2], [3].

[2] bc=c

Axiom: bc=ab.

Reduce RHS:

[1](ab)
⇒ c

Defines rule #3.

Referenced by [3].

[3] ac=cc

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

a b bc

Critical pair: ac=cc.

Defines rule #1.