Certificate for #3013 ⟨a, b, c | aba=a, acb=b⟩

Completion settings:

[1] aba=a

Axiom: aba=a.

Defines rule #1.

Referenced by [3].

[2] acb=b

Axiom: acb=b.

Defines rule #3.

Referenced by [3].

[3] abb=b

Overlap of [1] aba=a with [2] acb=b:

ab a acb

Critical pair: abb=acb.

Reduce RHS:

[2](acb)
⇒ b

Defines rule #2.