Certificate for #20647 ⟨a, b | ab=aa, bbbbbb=b⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bbbbbb=b

Axiom: bbbbbb=b.

Defines rule #2.

Referenced by [3].

[3] aaaaaaa=aa

Overlap of [1] ab=aa with [2] bbbbbb=b:

a b bbbbbb

Critical pair: ab=aabbbbb.

Reduce LHS:

[1](ab)
⇒ aa

Reduce RHS:

[1]a(ab)bbbb
[1]⇒ aa(ab)bbb
[1]⇒ aaa(ab)bb
[1]⇒ aaaa(ab)b
[1]⇒ aaaaa(ab)
⇒ aaaaaaa

Flip LHS and RHS.

Defines rule #3.