On characterizations of the basic feasible functionals (Part I)

Abstract

We introduce a typed programming formalism, type-2 inflationary tiered loop programs or ITLP 2 , that characterizes the type-2 basic feasible functionals. ITLP 2 is based on Bellantoni and Cook's (1992) and Leivant's (1995) type-theoretic characterization of polynomial-time, and turns out to be closely related to Kapron and Cook's (1991; 1996) machine-based characterization of the type-2 basic feasible functionals.