Certificate for #800 ⟨a, b, c | ab=a, bbbc=1⟩

Back:⟨a, b, c | ab=a, bbbc=1⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bbbc=1

Axiom: bbbc=1.

Defines rule #3.

Referenced by [3].

[3] ac=a

Overlap of [1] ab=a with [2] bbbc=1:

a b bbbc

Critical pair: a=abbc.

Reduce RHS:

[1](ab)bc
[1]⇒ (ab)c
⇒ ac

Flip LHS and RHS.

Defines rule #2.