Certificate for #513 ⟨a, b, c | ab=aa, ca=c⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] ca=c

Axiom: ca=c.

Defines rule #2.

Referenced by [3].

[3] cb=c

Overlap of [2] ca=c with [1] ab=aa:

c a ab

Critical pair: caa=cb.

Reduce LHS:

[2](ca)a
[2]⇒ (ca)
⇒ c

Flip LHS and RHS.

Defines rule #3.