Certificate for #5432 ⟨a, b, c | ab=a, cbaa=b⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] cbaa=b

Axiom: cbaa=b.

Defines rule #3.

Referenced by [3].

[3] bb=b

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

cba a ab

Critical pair: cbaa=bb.

Reduce LHS:

[2](cbaa)
⇒ b

Flip LHS and RHS.

Defines rule #2.