Abstract
In this paper we examine type 2 analogs of the type 1 polynomial hierarchy and show some limitations on finding a completely faithful type 2 analog. We survey most of the notions of type 2 poly-hierarchies already proposed in the literature and present two natural definitions of type 2 poly-hierarchies. We also introduce various resource bounded reductions between functionals of type 2.
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© 1995 Springer-Verlag Berlin Heidelberg
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Seth, A. (1995). Type 2 polynomial hierarchies. In: Leivant, D. (eds) Logic and Computational Complexity. LCC 1994. Lecture Notes in Computer Science, vol 960. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60178-3_89
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DOI: https://doi.org/10.1007/3-540-60178-3_89
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