Certificate for #7034 ⟨a, b | bb=aa, aaaaa=a⟩

Back:⟨a, b | bb=aa, aaaaa=a⟩

Completion settings:

[1] aa=bb

Axiom: bb=aa.

Flip LHS and RHS.

Defines rule #1.

Referenced by [2], [3], [4].

[2] bbbba=a

Axiom: aaaaa=a.

Reduce LHS:

[1](aa)aaa
[1]⇒ bb(aa)a
⇒ bbbba

Defines rule #3.

Referenced by [4].

[3] abb=bba

Overlap of [1] aa=bb with [1] aa=bb:

a a aa

Critical pair: abb=bba.

Defines rule #2.

[4] bbbbbb=bb

Overlap of [2] bbbba=a with [1] aa=bb:

bbbb a aa

Critical pair: bbbbbb=aa.

Reduce RHS:

[1](aa)
⇒ bb

Defines rule #4.