Certificate for #1019 ⟨a, b, c | ab=c, aba=c⟩

Back:⟨a, b, c | ab=c, aba=c⟩

Completion settings:

[1] ab=c

Axiom: ab=c.

Defines rule #1.

Referenced by [2], [3].

[2] ca=c

Axiom: aba=c.

Reduce LHS:

[1](ab)a
⇒ ca

Defines rule #2.

Referenced by [3].

[3] cb=cc

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

c a ab

Critical pair: cc=cb.

Flip LHS and RHS.

Defines rule #3.