Certificate for #5354 ⟨a, b, c | ab=a, bacb=c⟩

Back:⟨a, b, c | ab=a, bacb=c⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bacb=c

Axiom: bacb=c.

Defines rule #3.

Referenced by [3], [4].

[3] aacb=ac

Overlap of [1] ab=a with [2] bacb=c:

a b bacb

Critical pair: ac=aacb.

Flip LHS and RHS.

Defines rule #2.

[4] cacb=bacc

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

bac b bacb

Critical pair: bacc=cacb.

Flip LHS and RHS.

Defines rule #4.