Certificate for #6943 ⟨a, b, c | ab=1, accac=a⟩

Back:⟨a, b, c | ab=1, accac=a⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

[2] accac=a

Axiom: accac=a.

Defines rule #4.

Referenced by [3], [4].

[3] acac=acca

Overlap of [2] accac=a with [2] accac=a:

acc ac accac

Critical pair: acca=acac.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

[4] aac=aca

Overlap of [2] accac=a with [3] acac=acca:

acc ac acac

Critical pair: accacca=aac.

Reduce LHS:

[2](accac)ca
⇒ aca

Flip LHS and RHS.

Defines rule #2.