Certificate for #4168 ⟨a, b | abb=aba, bba=a⟩

Back:⟨a, b | abb=aba, bba=a⟩

Completion settings:

[1] aba=abb

Axiom: abb=aba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bba=a

Axiom: bba=a.

Defines rule #1.

Referenced by [3].

[3] abbbb=abb

Overlap of [1] aba=abb with [1] aba=abb:

ab a aba

Critical pair: ababb=abbba.

Reduce LHS:

[1](aba)bb
⇒ abbbb

Reduce RHS:

[2]ab(bba)
[1]⇒ (aba)
⇒ abb

Defines rule #3.