Certificate for #7423 ⟨a, b, c | ab=1, acba=cb⟩

Back:⟨a, b, c | ab=1, acba=cb⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

Referenced by [3].

[2] acba=cb

Axiom: acba=cb.

Defines rule #3.

Referenced by [3], [4].

[3] cbb=acb

Overlap of [2] acba=cb with [1] ab=1:

acb a ab

Critical pair: acb=cbb.

Flip LHS and RHS.

Defines rule #2.

[4] cbcba=acbcb

Overlap of [2] acba=cb with [2] acba=cb:

acb a acba

Critical pair: acbcb=cbcba.

Flip LHS and RHS.

Defines rule #4.