Certificate for #1599 ⟨a, b | aaa=ab, bbb=b⟩

Back:⟨a, b | aaa=ab, bbb=b⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbb=b

Axiom: bbb=b.

Defines rule #3.

Referenced by [3].

[3] aaaaaaa=aaa

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

a b bbb

Critical pair: ab=aaabb.

Reduce LHS:

[1](ab)
⇒ aaa

Reduce RHS:

[1]aa(ab)b
[1]⇒ aaaa(ab)
⇒ aaaaaaa

Flip LHS and RHS.

Defines rule #1.