InforLorV4, Main, Merge, bibRecord, 002964

Interpretation of stream programs: characterizing type 2 polynomial time complexity

Identifieur interne : 002964 ( Main/Merge ); précédent : 002963; suivant : 002965

Interpretation of stream programs: characterizing type 2 polynomial time complexity

Auteurs : Hugo Férée [France] ; Emmanuel Hainry [France] ; Mathieu Hoyrup [France] ; Romain Péchoux [France]

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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<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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