Certificate for #13221 ⟨a, b | abb=aba, bbb=bb⟩

Back:⟨a, b | abb=aba, bbb=bb⟩

Completion settings:

[1] aba=abb

Axiom: abb=aba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbb=bb

Axiom: bbb=bb.

Defines rule #1.

Referenced by [3].

[3] abba=abb

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

ab a aba

Critical pair: ababb=abbba.

Reduce LHS:

[1](aba)bb
[2]⇒ a(bbb)b
[2]⇒ a(bbb)
⇒ abb

Reduce RHS:

[2]a(bbb)a
⇒ abba

Flip LHS and RHS.

Defines rule #3.