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- W1993180032 abstract "The classes of functions $# textit{PSPACE}$ and $natural textit{PSPACE}$ that are analogous to the class $# P$ are defined. Functions in $# textit{PSPACE}$ count the number of accepting computations of a nondeterministic polynomial space bounded Turing machine, and functions in $natural textit{PSPACE}$ count the number of accepting computations of nondeterministic polynomial space bounded Turing machines that on each computation path make at most a polynomial number of nondeterministic choices. In contrast to what is known about $# P$, exact characterizations of both $# textit{PSPACE}$ and $natural textit{PSPACE}$ are found. In particular, $# PSPACE = FSPACE$ (the class of functions computable in polynomial space) and $natural PSPACE = FSPACE (poly)$ (the class of functions computable in polynomial space with output length bounded by a polynomial). Both $# textit{PSPACE}$ and $natural textit{PSPACE}$ can be characterized by counting problems related to alternating Turing machines. Both $# te..." @default.
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- W1993180032 date "1989-12-01" @default.
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- W1993180032 title "Polynomial Space Counting Problems" @default.
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- W1993180032 doi "https://doi.org/10.1137/0218073" @default.
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