Machine-Free Characterization of Polynomially Computable Functions

This work is focused into constructing mathematical structure. This structure is closed under it's operations. Structure was developed to contain all functions of certain growth rate. To be More specific functi- ons with polynomial growth rate. We can say that our structure con- tains all functions that have growth rate slower or equal to polynomial growth rate and no other function. Development of our structure was influenced mostly by work of Samuel R. Buss [1]