Certificate for #19566 ⟨a, b | aab=b, abbbb=ba⟩

Completion settings:

Reduction order:
- Left-to-right recursive path with deg(b) = 0; deg(a) = 1

[1] aab=b

Axiom: aab=b.

Defines rule #3.

Referenced by [3].

[2] ba=abbbb

Axiom: abbbb=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] bbbbbbbbbbbbbbbbb=bb

Overlap of [2] ba=abbbb with [1] aab=b:

b a aab

Critical pair: bb=abbbbab.

Reduce RHS:

[2]	abbb(ba)b
[2]	⇒ abb(ba)bbbbb
[2]	⇒ ab(ba)bbbbbbbbb
[2]	⇒ a(ba)bbbbbbbbbbbbb
[1]	⇒ (aab)bbbbbbbbbbbbbbbb
	⇒ bbbbbbbbbbbbbbbbb

Flip LHS and RHS.

Defines rule #1.