In computational complexity theory, the Immerman–Szelepcsényi theorem states that nondeterministic space complexity classes are closed under complementation. It was proven independently by Neil Immerman and Róbert Szelepcsényi in 1987, for which they shared the 1995 Gödel Prize. In its general form … Zobacz więcej The theorem can be proven by showing how to translate any nondeterministic Turing machine M into another nondeterministic Turing machine that solves the complementary decision problem under … Zobacz więcej • Lance Fortnow, Foundations of Complexity, Lesson 19: The Immerman–Szelepcsenyi Theorem. Accessed 09/09/09. Zobacz więcej As a corollary, in the same article, Immerman proved that, using descriptive complexity's equality between NL and FO(Transitive Closure) Zobacz więcej • Savitch's theorem relates nondeterministic space classes to their deterministic counterparts Zobacz więcej WitrynaTheorem 1 ([13]). AC0 = FO. An important issue in circuit complexity is uniformity, i.e., the question if a finite description of an infinite family of circuits exists, and if yes, how complicated it is to obtain it. Immerman’s Theorem holds both non-uniformly, i.e., under no requirements on the constructability of the circuit family, as well

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Witryna8 lut 2024 · I am trying to model the proof of Immerman–Szelepcsényi Theorem with Haskell since it heavily uses non-determinism. An explanation of what the point of this is can be found here. {-# LANGUAGE FlexibleContexts #-} import Control.Monad import Control.Monad.State type NonDet a = [a] type NonDetState s a = StateT s [] a type … WitrynaImmerman-Szelepcsenyi Theorem Since we don’t know whether ${\sf L} = {\sf NL}$ or not, it’s natural to turn to related questions, such as whether ${\sf NL}$ is equal to its … candice busby

Immerman-Szelepcsenyi Theorem - Cheriton School of …

WitrynaStack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange Witryna1 Immerman-Szelepcsényi Theorem The theorem states the nondeterministic classes of space complexity are closed under comple-ment. Theorem 1 (Immerman … Witryna9 lip 2024 · In this paper we give an Immerman's Theorem for real-valued computation. We define circuits operating over real numbers and show that families of such circuits of polynomial size and constant... fishpaper seathin