Certificate for #15504 ⟨a, b | aaa=ab, bbbbb=b⟩

Back:⟨a, b | aaa=ab, bbbbb=b⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbbbb=b

Axiom: bbbbb=b.

Defines rule #3.

Referenced by [3].

[3] aaaaaaaaaaa=aaa

Overlap of [1] ab=aaa with [2] bbbbb=b:

a b bbbbb

Critical pair: ab=aaabbbb.

Reduce LHS:

[1](ab)
⇒ aaa

Reduce RHS:

[1]aa(ab)bbb
[1]⇒ aaaa(ab)bb
[1]⇒ aaaaaa(ab)b
[1]⇒ aaaaaaaa(ab)
⇒ aaaaaaaaaaa

Flip LHS and RHS.

Defines rule #1.