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Interpretation of stream programs: characterizing type 2 polynomial time complexity

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
Contributor : Mathieu Hoyrup <>
Submitted on : Friday, September 17, 2010 - 10:50:48 AM
Last modification on : Thursday, March 5, 2020 - 11:02:11 AM
Long-term archiving on: : Saturday, December 18, 2010 - 2:59:04 AM

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Hugo Férée, Emmanuel Hainry, Mathieu Hoyrup, Romain Péchoux. Interpretation of stream programs: characterizing type 2 polynomial time complexity. 21st International Symposium on Algorithms and Computation - ISAAC 2010, Dec 2010, Jeju Island, South Korea. ⟨inria-00518381⟩

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