Search Results - Complexity Classes—Complexity hierarchies
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Quantum and classical nondeterministic OBDDs
ISSN: 2541-7746, 2500-2198Published: Kazan Federal University 22.12.2024Published in Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki (22.12.2024)“… A model of nondeterministic ordered binary decision diagrams (NOBDDs) was analyzed. A method for proving a lower bound on the complexity of quantum NOBDDs was developed…”
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Refined Kolmogorov complexity of analog, evolving and stochastic recurrent neural networks
ISSN: 0020-0255Published: Elsevier Inc 01.09.2025Published in Information sciences (01.09.2025)“…, and real probabilities, respectively. First, we retrieve the infinite hierarchy of complexity classes of analog networks, defined in terms of the Kolmogorov complexity of their real weights…”
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Logical Foundations of Proof Complexity
ISBN: 052151729X, 1107694116, 9781107694118, 9780521517294Published: New York Cambridge University Press 25.01.2010“… The complexity classes range from AC0 for the weakest theory up to the polynomial hierarchy. Each bounded theorem in a theory translates into a family of (quantified…”
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Cognitive Weighted Inherited Class Complexity Metric
ISSN: 1877-0509, 1877-0509Published: Elsevier B.V 2018Published in Procedia computer science (2018)“…In the software industry, the class complexity of an object oriented programis measured using various factors such as counting the number of lines of code, methods, attributes, functional points, etc…”
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‘And You Need Me to Be the Token Mexican?’: Examining Racial Hierarchies and the Complexities of Racial Identities for Middle Class Mexican Americans
ISSN: 0896-9205, 1569-1632Published: London, England SAGE Publications 01.07.2016Published in Critical sociology (01.07.2016)“… This research concludes that these middle class Mexican Americans utilize different identity practices to navigate racism and racial hierarchies…”
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Reversal complexity revisited
ISSN: 0304-3975, 1879-2294Published: Amsterdam Elsevier B.V 23.07.2008Published in Theoretical computer science (23.07.2008)“…We study a generalized version of reversal bounded Turing machines where, apart from several tapes on which the number of head reversals is bounded by r ( n )…”
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Reachability in Vector Addition Systems is Ackermann-complete
ISSN: 2575-8454Published: IEEE 01.02.2022Published in Proceedings / annual Symposium on Foundations of Computer Science (01.02.2022)“…} is the k -th complexity class from the hierarchy of fast-growing complexity classes…”
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Completeness for the Complexity Class ∀∃R and Area-Universality
ISSN: 0179-5376, 1432-0444Published: New York Springer US 01.07.2023Published in Discrete & computational geometry (01.07.2023)“…, ∃ R deals with existentially quantified real variables. In analogy to Π 2 p and Σ 2 p in the famous polynomial hierarchy, we study the complexity classes ∀ ∃ R…”
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Parameterized complexity of weighted team definability
ISSN: 0960-1295, 1469-8072Published: Cambridge, UK Cambridge University Press 01.05.2024Published in Mathematical structures in computer science (01.05.2024)“…In this article, we study the complexity of weighted team definability for logics with team semantics…”
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The parameterized space complexity of model-checking bounded variable first-order logic
ISSN: 1860-5974, 1860-5974Published: Logical Methods in Computer Science e.V 01.01.2019Published in Logical methods in computer science (01.01.2019)“… For each bound on the quantifier alternation rank the problem becomes complete for the corresponding level of what we call the tree hierarchy, a hierarchy of parameterized complexity classes defined…”
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A Complexity Theory of Constructible Functions and Sheaves
ISSN: 1615-3375, 1615-3383Published: Boston Springer US 01.02.2015Published in Foundations of computational mathematics (01.02.2015)“…In this paper we introduce constructible analogs of the discrete complexity classes VP and VNP of sequences of functions…”
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Minimax Games, Spin Glasses and the Polynomial-Time Hierarchy of Complexity Classes
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 10.12.1997Published in arXiv.org (10.12.1997)“…We use the negative replica method, which was originally developed for the study of overfrustation in disordered system, to investigate the statistical…”
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Dependence Logic with a Majority Quantifier
ISSN: 0925-8531, 1572-9583Published: Dordrecht Springer 01.09.2015Published in Journal of logic, language, and information (01.09.2015)“… Our results imply that, from the point of view of descriptive complexity theory, 𝓓(M) captures the complexity class counting hierarchy…”
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Circuit complexity and functionality: A statistical thermodynamics perspective
ISSN: 1091-6490, 1091-6490Published: United States 10.06.2025Published in Proceedings of the National Academy of Sciences - PNAS (10.06.2025)“…Circuit complexity, defined as the minimum circuit size required for implementing a particular Boolean computation, is a foundational concept in computer science…”
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More results on the complexity of identifying problems in graphs
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 02.05.2016Published in Theoretical computer science (02.05.2016)“… We locate these problems in the complexity classes of the polynomial hierarchy…”
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On the Decomposition of Abstract Dialectical Frameworks and the Complexity of Naive-based Semantics
ISSN: 1076-9757, 1076-9757, 1943-5037Published: San Francisco AI Access Foundation 01.01.2021Published in The Journal of artificial intelligence research (01.01.2021)“… We perform an exhaustive analysis of the computational complexity of these new, so-called naive-based semantics…”
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Re-examining regular expressions with backreferences
ISSN: 0304-3975, 1879-2294, 1879-2294Published: Elsevier B.V 09.01.2023Published in Theoretical computer science (09.01.2023)“… Beyond the hierarchy itself, some complexity results are given, and as part of the effort on comparing language classes new pumping lemmas are established, old classes are extended to new ones, and several incidental results on the nature of these language classes are given…”
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Exponential separation between quantum and classical ordered binary decision diagrams, reordering method and hierarchies
ISSN: 1567-7818, 1572-9796Published: Dordrecht Springer Netherlands 01.12.2023Published in Natural computing (01.12.2023)“…In this paper, we study quantum Ordered Binary Decision Diagrams( OBDD ) model; it is a restricted version of read-once quantum branching programs, with respect to “width” complexity…”
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On the computational complexity of membrane systems
ISSN: 0304-3975, 1879-2294Published: Amsterdam Elsevier B.V 12.06.2004Published in Theoretical computer science (12.06.2004)“… We define space and time complexity measures and show hierarchies of complexity classes similar to well-known results concerning Turing machines and counter machines…”
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Depth-two P systems can simulate Turing machines with NP oracles
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 24.03.2022Published in Theoretical computer science (24.03.2022)“…•This model uses evolution, communication, dissolution, and (weak) membrane division rules.•We prove that these P systems compute at least all problems in the complexity class…”
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