Certificate for #3098 ⟨a, b, c | ab=aa, bbbc=1⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bbbc=1

Axiom: bbbc=1.

Defines rule #2.

Referenced by [3].

[3] aaaac=a

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

a b bbbc

Critical pair: a=aabbc.

Reduce RHS:

[1]a(ab)bc
[1]⇒ aa(ab)c
⇒ aaaac

Flip LHS and RHS.

Defines rule #3.