InforLorV4, Hal, Corpus, bibRecord, 002C39

Interpretation of stream programs: characterizing type 2 polynomial time complexity

Identifieur interne : 002C39 ( Hal/Corpus ); précédent : 002C38; suivant : 002C40

Interpretation of stream programs: characterizing type 2 polynomial time complexity

Auteurs : Hugo Férée ; Emmanuel Hainry ; Mathieu Hoyrup ; Romain Péchoux

Source :

RBID : Hal:inria-00518381

Abstract

We study polynomial time complexity of type 2 functionals. For that purpose, we introduce a first order functional stream language. We give criteria, named well-founded, on such programs relying on second order interpretation that characterize two variants of type 2 polynomial complexity including the Basic Feasible Functions (BFF). These charac- terizations provide a new insight on the complexity of stream programs. Finally, we adapt these results to functions over the reals, a particular case of type 2 functions, and we provide a characterization of polynomial time complexity in Recursive Analysis.

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https://hal.inria.fr/inria-00518381

Links to Exploration step

Hal:inria-00518381

Le document en format XML

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<front><div type="abstract" xml:lang="en">We study polynomial time complexity of type 2 functionals. For that purpose, we introduce a first order functional stream language. We give criteria, named well-founded, on such programs relying on second order interpretation that characterize two variants of type 2 polynomial complexity including the Basic Feasible Functions (BFF). These charac- terizations provide a new insight on the complexity of stream programs. Finally, we adapt these results to functions over the reals, a particular case of type 2 functions, and we provide a characterization of polynomial time complexity in Recursive Analysis.</div>
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Interpretation of stream programs: characterizing type 2 polynomial time complexity

Interpretation of stream programs: characterizing type 2 polynomial time complexity

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