Certificate for #3341 ⟨a, b, c | ab=aa, bcb=c⟩

Back:⟨a, b, c | ab=aa, bcb=c⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bcb=c

Axiom: bcb=c.

Defines rule #2.

Referenced by [3], [4].

[3] aacb=ac

Overlap of [1] ab=aa with [2] bcb=c:

a b bcb

Critical pair: ac=aacb.

Flip LHS and RHS.

Defines rule #4.

[4] ccb=bcc

Overlap of [2] bcb=c with [2] bcb=c:

bc b bcb

Critical pair: bcc=ccb.

Flip LHS and RHS.

Defines rule #3.