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Tailoring Recursion to Characterize Non-Deterministic Complexity Classes Over Arbitrary Structures

Olivier Bournez 1 Felipe Cucker Paulin Jacobé de Naurois 1, 2 Jean-Yves Marion 2
1 PROTHEO - Constraints, automatic deduction and software properties proofs
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
2 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We provide machine-independent characterizations of some complexity classes, over an arbitrary structure, in the model of computation proposed by L.Blum, M.Shub and S.Smale. We show that the levels of the polynomial hierarchy correspond to safe recursion with predicative minimization. The levels of the digital polynomial hierarchy correspond to safe recursion with digital predicative minimization. Also, we show that polynomial alternating time corresponds to safe recursion with predicative substitutions and that digital polynomial alternating time corresponds to safe recursion with digital predicative substitutions.
Keywords : bss model implicit complexity complexity
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Conference papers
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https://hal.inria.fr/inria-00000520
Contributor : Olivier Bournez <>
Submitted on : Wednesday, October 26, 2005 - 7:09:51 PM
Last modification on : Tuesday, May 5, 2020 - 5:02:07 PM

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  • HAL Id : inria-00000520, version 1

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INRIA | CNRS | LORIA | UNIV-LORRAINE

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Olivier Bournez, Felipe Cucker, Paulin Jacobé de Naurois, Jean-Yves Marion. Tailoring Recursion to Characterize Non-Deterministic Complexity Classes Over Arbitrary Structures. In 2nd APPSEM II Workshop - APPSEM'04, Apr 2004, Tallinn/Estonia. ⟨inria-00000520⟩

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