Certificate for #16020 ⟨a, b | aaa=ab, baab=bb⟩

Back:⟨a, b | aaa=ab, baab=bb⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2], [3].

[2] bb=baaaa

Axiom: baab=bb.

Reduce LHS:

[1]ba(ab)
⇒ baaaa

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] aaaaaaa=aaaaa

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

a b bb

Critical pair: abaaaa=aaab.

Reduce LHS:

[1](ab)aaaa
⇒ aaaaaaa

Reduce RHS:

[1]aa(ab)
⇒ aaaaa

Defines rule #1.