Certificate for #521 ⟨a, b, c | ac=ab, ba=b⟩

Back:⟨a, b, c | ac=ab, ba=b⟩

Completion settings:

[1] ac=ab

Axiom: ac=ab.

Defines rule #1.

Referenced by [3].

[2] ba=b

Axiom: ba=b.

Defines rule #2.

Referenced by [3].

[3] bc=bb

Overlap of [2] ba=b with [1] ac=ab:

b a ac

Critical pair: bab=bc.

Reduce LHS:

[2](ba)b
⇒ bb

Flip LHS and RHS.

Defines rule #3.