Certificate for #7361 ⟨a, b, c | ab=1, abba=cc⟩

Back:⟨a, b, c | ab=1, abba=cc⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

Referenced by [2], [4].

[2] cc=ba

Axiom: abba=cc.

Reduce LHS:

[1](ab)ba
⇒ ba

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] cba=bac

Overlap of [2] cc=ba with [2] cc=ba:

c c cc

Critical pair: cba=bac.

Defines rule #3.

Referenced by [4].

[4] bacb=cb

Overlap of [3] cba=bac with [1] ab=1:

cb a ab

Critical pair: cb=bacb.

Flip LHS and RHS.

Defines rule #4.