Certificate for #13261 ⟨a, b | bab=aba, bbb=bb⟩

Back:⟨a, b | bab=aba, bbb=bb⟩

Completion settings:

[1] aba=bab

Axiom: bab=aba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[2] bbb=bb

Axiom: bbb=bb.

Defines rule #1.

Referenced by [4].

[3] abbab=babba

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

ab a aba

Critical pair: abbab=babba.

Defines rule #3.

Referenced by [4].

[4] babbaa=babba

Overlap of [3] abbab=babba with [1] aba=bab:

abb ab aba

Critical pair: abbbab=babbaa.

Reduce LHS:

[2]a(bbb)ab
[3]⇒ (abbab)
⇒ babba

Flip LHS and RHS.

Defines rule #4.