Immunity and simplicity for exact counting and other counting classes
J. Rothe (1999)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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J. Rothe (1999)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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F. Cucker, J. L. Montaña, L. M. Pardo (1993)
Extracta Mathematicae
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Armin Hemmerling (2010)
RAIRO - Theoretical Informatics and Applications
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A modified version of the classical -operator as well as the first value operator and the operator of inverting unary functions, applied in combination with the composition of functions and starting from the primitive recursive functions, generate all arithmetically representable functions. Moreover, the nesting levels of these operators are closely related to the stratification of the arithmetical hierarchy. The same is shown for some further function operators known from computability...
Y. Breitbart, F. D. Lewis (1979)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Heintz, J., Matera, G., Pardo, L.M., Wachenchauzer, R. (1998)
Electronic Journal of SADIO [electronic only]
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José L. Balcázar, Joaquim Gabarró (1989)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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J. Castro, C. Seara (1996)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Ker-I Ko (1990)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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José L. Balcázar Navarro (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Using polynomial time self-reducibility structures, we characterize certain helping notions, show how the characterization provides the main tool for the proof of known relationships between decisional and functional NP-complete problems, and extend this relationships to the case of optimization NP-complete problems.