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Predicative Analysis of Feasibility and Diagonalization

Identifieur interne : 004A08 ( Main/Merge ); précédent : 004A07; suivant : 004A09

Predicative Analysis of Feasibility and Diagonalization

Source :

RBID : Hal:hal-00175412

Abstract

Predicative analysis of recursion schema is a method to characterize complexity classes like the class of polynomial time functions. This analysis comes from the works of Bellantoni and Cook, and Leivant. Here, we refine predicative analysis by using a ramified Ackermann's construction of a non-primitive recursive function. We obtain an hierarchy of functions which characterizes exactly functions, which are computed in $O(n^k)$ over register machine model of computation. Then, we are able to diagonalize using dependent types in order to obtain an exponential function.

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https://hal.archives-ouvertes.fr/hal-00175412

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Hal:hal-00175412

Le document en format XML

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<front><div type="abstract" xml:lang="en">Predicative analysis of recursion schema is a method to characterize complexity classes like the class of polynomial time functions. This analysis comes from the works of Bellantoni and Cook, and Leivant. Here, we refine predicative analysis by using a ramified Ackermann's construction of a non-primitive recursive function. We obtain an hierarchy of functions which characterizes exactly functions, which are computed in $O(n^k)$ over register machine model of computation. Then, we are able to diagonalize using dependent types in order to obtain an exponential function.</div>
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Predicative Analysis of Feasibility and Diagonalization

Predicative Analysis of Feasibility and Diagonalization

Source :

Abstract

Links toward previous steps (curation, corpus...)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri