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On non-uniform polynomial space

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Structure in Complexity Theory

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 223))

Abstract

The class of sets decided within polynomial space by machines with polynomial advice, PSPACE/poly, is characterized in several ways. Some PSPACE-complete sets furnish a characterization. Query length in oracle machines, closure of a small class under algebraic operations, parallel straight-line programs, and Kolmogorov complexity are other approaches that allow to characterize the class PSPACE/poly. Some properties of a dual class defined by exponential lower bounds are also shown, as a version of Lupanov theorem and a characterization in terms of oracle Turing machines.

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Alan L. Selman

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© 1986 Springer-Verlag Berlin Heidelberg

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Balcázar, J.L., Díaz, J., Gabarró, J. (1986). On non-uniform polynomial space. In: Selman, A.L. (eds) Structure in Complexity Theory. Lecture Notes in Computer Science, vol 223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16486-3_88

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  • DOI: https://doi.org/10.1007/3-540-16486-3_88

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16486-9

  • Online ISBN: 978-3-540-39825-7

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