Certificate for #986 ⟨a, b, c | ab=a, cab=c⟩

Back:⟨a, b, c | ab=a, cab=c⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [2], [3].

[2] ca=c

Axiom: cab=c.

Reduce LHS:

[1]c(ab)
⇒ ca

Defines rule #2.

Referenced by [3].

[3] cb=c

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

c a ab

Critical pair: ca=cb.

Reduce LHS:

[2](ca)
⇒ c

Flip LHS and RHS.

Defines rule #3.