Certificate for #3101 ⟨a, b, c | ab=aa, bbcc=1⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bbcc=1

Axiom: bbcc=1.

Defines rule #2.

Referenced by [3].

[3] aaacc=a

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

a b bbcc

Critical pair: a=aabcc.

Reduce RHS:

[1]a(ab)cc
⇒ aaacc

Flip LHS and RHS.

Defines rule #3.