Certificate for #5842 ⟨a, b, c | ab=a, baa=bc⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bc=baa

Axiom: baa=bc.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] ac=aaa

Overlap of [1] ab=a with [2] bc=baa:

a b bc

Critical pair: abaa=ac.

Reduce LHS:

[1](ab)aa
⇒ aaa

Flip LHS and RHS.

Defines rule #2.