Certificate for #7604 ⟨a, b, c | ab=1, cbcc=aa⟩

Back:⟨a, b, c | ab=1, cbcc=aa⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

Referenced by [3].

[2] cbcc=aa

Axiom: cbcc=aa.

Defines rule #3.

Referenced by [3].

[3] acc=cbcaa

Overlap of [2] cbcc=aa with [2] cbcc=aa:

cbc c cbcc

Critical pair: cbcaa=aabcc.

Reduce RHS:

[1]a(ab)cc
⇒ acc

Flip LHS and RHS.

Defines rule #2.