Certificate for #5522 ⟨a, b, c | ab=c, abbc=a⟩

Back:⟨a, b, c | ab=c, abbc=a⟩

Completion settings:

[1] ab=c

Axiom: ab=c.

Referenced by [2], [3].

[2] a=cbc

Axiom: abbc=a.

Reduce LHS:

[1](ab)bc
⇒ cbc

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] cbcb=c

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

ab a

Critical pair: cbcb=c.

Defines rule #2.

Referenced by [4].

[4] ccb=cbc

Overlap of [3] cbcb=c with [3] cbcb=c:

cb cb cbcb

Critical pair: cbc=ccb.

Flip LHS and RHS.

Defines rule #1.