Certificate for #5372 ⟨a, b, c | ab=a, bbcb=b⟩

Back:⟨a, b, c | ab=a, bbcb=b⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bbcb=b

Axiom: bbcb=b.

Defines rule #3.

Referenced by [3].

[3] acb=a

Overlap of [1] ab=a with [2] bbcb=b:

a b bbcb

Critical pair: ab=abcb.

Reduce LHS:

[1](ab)
⇒ a

Reduce RHS:

[1](ab)cb
⇒ acb

Flip LHS and RHS.

Defines rule #2.