Certificate for #5883 ⟨a, b, c | ab=a, bca=bb⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #2.

Referenced by [3].

[2] bb=bca

Axiom: bca=bb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] aca=a

Overlap of [1] ab=a with [2] bb=bca:

a b bb

Critical pair: abca=ab.

Reduce LHS:

[1](ab)ca
⇒ aca

Reduce RHS:

[1](ab)
⇒ a

Defines rule #1.