Certificate for #16044 ⟨a, b | aaa=ab, bbbb=bb⟩

Back:⟨a, b | aaa=ab, bbbb=bb⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbbb=bb

Axiom: bbbb=bb.

Defines rule #3.

Referenced by [3].

[3] aaaaaaaaa=aaaaa

Overlap of [1] ab=aaa with [2] bbbb=bb:

a b bbbb

Critical pair: abb=aaabbb.

Reduce LHS:

[1](ab)b
[1]⇒ aa(ab)
⇒ aaaaa

Reduce RHS:

[1]aa(ab)bb
[1]⇒ aaaa(ab)b
[1]⇒ aaaaaa(ab)
⇒ aaaaaaaaa

Flip LHS and RHS.

Defines rule #1.