Interpretation of Stream Programs: Characterizing Type 2 Polynomial Time Complexity
Identifieur interne : 003064 ( Main/Exploration ); précédent : 003063; suivant : 003065Interpretation of Stream Programs: Characterizing Type 2 Polynomial Time Complexity
Auteurs : Hugo Férée [France] ; Emmanuel Hainry [France] ; Mathieu Hoyrup [France] ; Romain Péchoux [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
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 characterizations 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.
Url:
DOI: 10.1007/978-3-642-17517-6_27
Affiliations:
- France
- Auvergne-Rhône-Alpes, Grand Est, Lorraine (région), Rhône-Alpes
- Lyon, Nancy, Vandœuvre-lès-Nancy
- Nancy-Université, Université de Lorraine
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<front><div type="abstract" xml:lang="en">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 characterizations 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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