Certificate for #3347 ⟨a, b, c | ab=aa, caa=c⟩

Back:⟨a, b, c | ab=aa, caa=c⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] caa=c

Axiom: caa=c.

Defines rule #3.

Referenced by [3].

[3] cb=ca

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

ca a ab

Critical pair: caaa=cb.

Reduce LHS:

[2](caa)a
⇒ ca

Flip LHS and RHS.

Defines rule #2.