• Thumbnail for ZPP (complexity)
    In complexity theory, ZPP (zero-error probabilistic polynomial time) is the complexity class of problems for which a probabilistic Turing machine exists...
    9 KB (1,339 words) - 12:06, 5 April 2025
  • ZPP may refer to: ZPP (complexity), a complexity class in computational complexity theory Zinc protoporphyrin zirconium-potassium perchlorate, a pyrotechnic...
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  • outputs 1 with probability less than or equal to 1/3 Unlike the complexity class ZPP, the machine M is required to run for polynomial time on all inputs...
    19 KB (2,455 words) - 07:13, 27 December 2024
  • algorithm BPP ZPP This comparison is attributed to Michael O. Rabin on p. 252 of Gasarch, William (2014), "Classifying Problems into Complexity Classes",...
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  • Thumbnail for Complexity class
    1-\epsilon } The fundamental randomized time complexity classes are ZPP, RP, co-RP, BPP, and PP. The strictest class is ZPP (zero-error probabilistic polynomial...
    75 KB (10,382 words) - 21:14, 20 April 2025
  • Thumbnail for Time complexity
    NP: The complexity class of decision problems that can be solved on a non-deterministic Turing machine in polynomial time ZPP: The complexity class of...
    41 KB (5,003 words) - 04:16, 18 April 2025
  • EXPSPACE = NEXPSPACE by Savitch's theorem. Other important complexity classes include BPP, ZPP and RP, which are defined using probabilistic Turing machines;...
    50 KB (6,704 words) - 15:08, 29 April 2025
  • Thumbnail for PP (complexity)
    In complexity theory, PP, or PPT is the class of decision problems solvable by a probabilistic Turing machine in polynomial time, with an error probability...
    16 KB (2,345 words) - 23:47, 3 April 2025
  • In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class. It contains all decision problems that can...
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  • machine accepts in both cases. Similarly, probabilistic classes such as BPP, ZPP, BQP or PP which are defined symmetrically with regards to their yes and...
    6 KB (675 words) - 18:41, 13 October 2022
  • average case running time whose output is always correct are said to be in ZPP. The class of problems for which both YES and NO-instances are allowed to...
    33 KB (4,218 words) - 18:46, 19 February 2025
  • Thumbnail for BQP
    BQP (redirect from Bqp complexity)
    In computational complexity theory, bounded-error quantum polynomial time (BQP) is the class of decision problems solvable by a quantum computer in polynomial...
    23 KB (3,518 words) - 07:19, 20 June 2024
  • Thumbnail for Graph isomorphism problem
    Arvind, Vikraman; Köbler, Johannes (2000), "Graph isomorphism is low for ZPP(NP) and other lowness results.", Proceedings of the 17th Annual Symposium...
    41 KB (4,214 words) - 00:03, 25 April 2025
  • Thumbnail for List of complexity classes
    of complexity classes in computational complexity theory. For other computational and complexity subjects, see list of computability and complexity topics...
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  • solvable in logarithmic space. Complexity classes arising from other definitions of acceptance include RP, co-RP, and ZPP. If the machine is restricted...
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  • In computational complexity theory, a language B (or a complexity class B) is said to be low for a complexity class A (with some reasonable relativized...
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  • S 2 p ⊆ Z P P N P {\displaystyle \mathrm {S} _{2}^{p}\subseteq \mathrm {{ZPP}^{NP}} } " (PDF), Journal of Computer and System Sciences, 73 (1): 25–35...
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  • arrangement. The complexity class of decision problems that have Las Vegas algorithms with expected polynomial runtime is ZPP. It turns out that ZPP = RP ∩ co-RP...
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  • true. In contrast, the complexity class ZPP describes problems solvable by polynomial expected time Las Vegas algorithms. ZPP ⊆ RP ⊆ BPP, but it is not...
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  • Thumbnail for Clique problem
    inapproximability for this ratio using a stronger complexity theoretic assumption, the inequality of NP and ZPP. Khot (2001) described more precisely the inapproximability...
    84 KB (9,905 words) - 17:15, 23 September 2024
  • Adleman–Huang algorithm reduced the complexity to ⁠ Z P P = R P ∩ c o R P {\displaystyle {\mathsf {{\color {Blue}ZPP}=RP\cap coRP}}} ⁠, which superseded...
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  • Set packing is a classical NP-complete problem in computational complexity theory and combinatorics, and was one of Karp's 21 NP-complete problems. Suppose...
    12 KB (1,514 words) - 10:17, 13 October 2024
  • Karp–Lipton theorem (category Theorems in computational complexity theory)
    In complexity theory, the Karp–Lipton theorem states that if the Boolean satisfiability problem (SAT) can be solved by Boolean circuits with a polynomial...
    13 KB (2,273 words) - 16:05, 20 March 2025
  • Thumbnail for Induced path
    results of Håstad (1996) on inapproximability of independent sets, unless NP=ZPP, there does not exist a polynomial time algorithm for approximating the longest...
    13 KB (1,486 words) - 07:48, 18 July 2024
  • algorithm Zipfian distribution Zipf's law Zipper (data structure) Zip tree ZPP Black, Paul E. "Dictionary of Algorithms and Data Structures". nist.gov....
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  • Thumbnail for Algorithm
    but their running time is only probabilistically bound, e.g. ZPP. Reduction of complexity This technique transforms difficult problems into better-known...
    58 KB (6,769 words) - 16:32, 29 April 2025
  • Catalytic computing (category Complexity classes)
    been shown that CSPACE(log(n)), or catalytic logspace, is contained within ZPP and, importantly, contains TC1. Brubaker, Ben (2025-02-18). "Catalytic Computing...
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  • approximated to within O ( n 1 − ϵ ) {\displaystyle O(n^{1-\epsilon })} unless NP ⊂ ZPP." Halldórsson, Magnus M.; Kratochvíl, Jan; Telle, Jan Arne (1998). Independent...
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  • Walzen im Malerhandwerk und der Dekorationsmalerei". www.strukturwalzen.de. ZPP Sezona 09 Emisija 05 Molovanje Po Semeljacki. 3 November 2014. Šarić 2008...
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  • simple description, there is no limit to the number of meshes, and hence complexity and number of elements, that the impedance network may have. 2-element-kind...
    33 KB (3,538 words) - 11:12, 18 February 2025