Certificate for #22316 ⟨a, b | aaa=1, babbbb=ba⟩

Back:⟨a, b | aaa=1, babbbb=ba⟩

Completion settings:

[1] aaa=1

Axiom: aaa=1.

Defines rule #1.

Referenced by [4].

[2] babbbb=ba

Axiom: babbbb=ba.

Defines rule #3.

Referenced by [3], [4].

[3] baabbbb=baa

Overlap of [2] babbbb=ba with [2] babbbb=ba:

babbb b babbbb

Critical pair: babbbba=baabbbb.

Reduce LHS:

[2](babbbb)a
⇒ baa

Flip LHS and RHS.

Defines rule #4.

Referenced by [4].

[4] bbbbb=b

Overlap of [2] babbbb=ba with [3] baabbbb=baa:

babbb b baabbbb

Critical pair: babbbbaa=baaabbbb.

Reduce LHS:

[2](babbbb)aa
[1]⇒ b(aaa)
⇒ b

Reduce RHS:

[1]b(aaa)bbbb
⇒ bbbbb

Flip LHS and RHS.

Defines rule #2.