User blog comment:Nayuta Ito/Brand-new Googologism from Algebra/@comment-32876686-20170924231108

Cool !

I have an idea for an extension of this. If $$SIR(m,n,d)$$ is equivalent to the highest-lowest integer solution in a set of polynomials bounded by m-unique variables, n-degrees, and coefficients no larger than d; then let $$SIR(m,n,d,c)$$ be equal to the same, except that c refers to the class of the equation. Class-1 equations utilize addition and no higher operations, Class-2 equations use multiplication and no higher operations, Class-3 equations use exponentiation and no higher operations, (your notation is currently at $$SIR(m,n,d,3)$$ level), and so on.