Titlebook: Completeness and Reduction in Algebraic Complexity Theory; Peter Bürgisser Book 2000 Springer-Verlag Berlin Heidelberg 2000 NP-completenes

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https://doi.org/10.1007/978-3-662-04179-6NP-completeness; Notation; algebra; complexity; complexity theory

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Grundlagen des EnergiestoffwechselsWe start with a brief description of the classical discrete theory of NP-completeness, give an overview of its generalization to the Blum-Shub-Smale model, and present the main features of Valiant’s algebraic model. Then we outline the organization of the book and present some of its highlights in an informal way.

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Introduction,We start with a brief description of the classical discrete theory of NP-completeness, give an overview of its generalization to the Blum-Shub-Smale model, and present the main features of Valiant’s algebraic model. Then we outline the organization of the book and present some of its highlights in an informal way.

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,Cook’s versus Valiant’s Hypothesis,We first investigate the dependency of our complexity concepts on the field k. We prove that for algebraically closed fields ., the truth of Valiant’s hypothesis VP ≠ VNP depends at most on the characteristic of ..

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