Certificate for #19571 ⟨a, b | aab=b, baaaa=bb⟩

Back:⟨a, b | aab=b, baaaa=bb⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #2.

Referenced by [3].

[2] bb=baaaa

Axiom: baaaa=bb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] baaaaaaaa=baaaa

Overlap of [2] bb=baaaa with [2] bb=baaaa:

b b bb

Critical pair: bbaaaa=baaaab.

Reduce LHS:

[2](bb)aaaa
⇒ baaaaaaaa

Reduce RHS:

[1]baa(aab)
[1]⇒ b(aab)
[2]⇒ (bb)
⇒ baaaa

Defines rule #1.