Certificate for #5894 ⟨a, b, c | ab=a, bcb=ca⟩

Back:⟨a, b, c | ab=a, bcb=ca⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bcb=ca

Axiom: bcb=ca.

Defines rule #3.

Referenced by [3], [4].

[3] acb=aca

Overlap of [1] ab=a with [2] bcb=ca:

a b bcb

Critical pair: aca=acb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] caca=bcca

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

bc b bcb

Critical pair: bcca=cacb.

Reduce RHS:

[3]c(acb)
⇒ caca

Flip LHS and RHS.

Defines rule #4.