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Some hardness escalation results in computational complexity theory
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Extensions of Presburger arithmetic and model checking one-counter automata
Published 2016Subjects: “…Computational Complexity Theory…”
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On nonintegral vertices of 3-SAT problem relaxation polytope
Published 2010-06-01Subjects: Get full text
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P Systems with Evolutional Communication and Division Rules
Published 2021-11-01Subjects: Get full text
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18.404J / 6.840J Theory of Computation, Fall 2006
Published 2021Subjects: “…Computability, computational complexity theory…”
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18.404J / 6.840J Theory of Computation, Fall 2002
Published 2002Subjects: Get full text
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Discrete Computation: Theory and Open Problems
Published 2023“…Borodin, A. Computational Complexity: Theory and Practice, in Currents in the Theory of Computing, A. …”
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The Spectral Norm of Finite Functions
Published 2023“…In many recent results in learning and computational complexity theory which rely on Fourier analysis, the spectral norm plays a key role. …”
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A model-independent theory of computational complexity: from patience to precision and beyond
Published 2010“…<p>The field of computational complexity theory--which chiefly aims to quantify the difficulty encountered when performing calculations--is, in the case of conventional computers, correctly practised and well understood (some important and fundamental open questions notwithstanding); however, such understanding is, we argue, lacking when unconventional paradigms are considered. …”
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Nonsequential Computation and Laws of Nature
Published 2023“…Traditionally, computational complexity theory deals with sequential computations. …”
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QUANTUM DISCORD AND QUANTUM COMPUTING - AN APPRAISAL
Published 2011“…Completeness results from computational complexity theory lead to the identification of very disparate problems, and offer a kaleidoscopic view into the realm of quantum enhancements in computation. …”
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Computational Structure of GPSG Models: Revised Generalized Phrase Structure Grammar
Published 2004“…The primary goal of this report is to demonstrate how considerations from computational complexity theory can inform grammatical theorizing. …”
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Complexity of Computation of Dominating Sets in Geo-Mathmetics Algorithm : A Review
Published 2021-02-01“…The dominant sets problem by testing whether γ (G) ≤ K of a given graph is G and K input; It is an electronic card NP machines decision problem in computational complexity theory. Infographics, powerful infographics plus graphic mapping. …”
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Incremental FPT Delay
Published 2020-05-01“…These results are the first direct connections of collapses in parameterized enumeration complexity to collapses in classical enumeration complexity, parameterized function complexity, classical function complexity, and computational complexity theory.…”
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Contracting projected entangled pair states is average-case hard
Published 2020-01-01“…In higher dimensions, however, a connection to the field of computational complexity theory has shown that the accurate normalization of the two-dimensional tensor networks called projected entangled pair states (PEPS) is #P-complete. …”
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A Survey of Noninteractive Zero Knowledge Proof System and Its Applications
Published 2014-01-01“…Zero knowledge proof system which has received extensive attention since it was proposed is an important branch of cryptography and computational complexity theory. Thereinto, noninteractive zero knowledge proof system contains only one message sent by the prover to the verifier. …”
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Unconventional complexity measures for unconventional computers
Published 2011“…One particular motivation behind unconventional computation is the desire efficiently to solve classically difficult problems—we recall chemical-computer attempts at solving NP-complete problems such as the Travelling Salesperson Problem—, with computational complexity theory offering the criteria for judging this efficiency. …”
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R-prime numbers of degree k
Published 2018-02-01“…Here, "easy" and "hard" are to be understood in the sense of computational complexity theory, specifically the theory of polynomial time problems. …”
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Schrödinger as a Quantum Programmer: Estimating Entanglement via Steering
Published 2024-06-01“…Thus, our findings provide a meaningful connection between steering, entanglement, quantum algorithms, and quantum computational complexity theory. They also demonstrate the value of a parameterized mid-circuit measurement in a VQSA.…”
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Real-Time Trading System Based on Selections of Potentially Profitable, Uncorrelated, and Balanced Stocks by NP-Hard Combinatorial Optimization
Published 2023-01-01“…Financial portfolio construction problems are often formulated as quadratic and discrete (combinatorial) optimization that belong to the nondeterministic polynomial time (NP)-hard class in computational complexity theory. Ising machines are hardware devices that work in quantum-mechanical/quantum-inspired principles for quickly solving NP-hard optimization problems, which potentially enable making trading decisions based on NP-hard optimization in the time constraints for high-speed trading strategies. …”
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