• theory, enumeration reducibility (or e-reducibility for short) is a specific type of reducibility. Roughly speaking, A is enumeration-reducible to B if...
    11 KB (1,437 words) - 11:39, 4 May 2025
  • {\displaystyle b=1} and so on. Enumeration reducibility: Similar to positive reducibility, relating to the effective procedure of enumerability from A {\displaystyle...
    13 KB (1,982 words) - 04:46, 16 September 2023
  • provided), and produces an enumeration of A. See enumeration reducibility for a precise account. A set A is computably enumerable with oracle B (or simply...
    9 KB (1,201 words) - 03:12, 24 April 2025
  • to many counting problems, in particular to the enumeration of chemical compounds. The Pólya enumeration theorem has been incorporated into symbolic combinatorics...
    15 KB (2,882 words) - 07:47, 12 March 2025
  • respect to many-one reducibility and with respect to Turing reducibility. In 1944, Post asked whether every computably enumerable set is either computable...
    54 KB (6,425 words) - 20:53, 17 February 2025
  • Thumbnail for Graph enumeration
    combinatorics, an area of mathematics, graph enumeration describes a class of combinatorial enumeration problems in which one must count undirected or...
    5 KB (554 words) - 20:29, 18 May 2025
  • defined via enumeration operators. Enumeration operators are of central importance in the study of enumeration reducibility. Each enumeration operator Φ...
    21 KB (3,095 words) - 15:38, 17 March 2025
  • Soare, 1987. Recursively enumerable sets and degrees, Springer. Davis, Martin (November 2006). "What is...Turing Reducibility?" (PDF). Notices of the American...
    12 KB (1,844 words) - 11:28, 22 April 2025
  • In computer science, state space enumeration are methods that consider each reachable program state to determine whether a program satisfies a given property...
    1 KB (149 words) - 07:12, 29 April 2022
  • many-one reducibility if there exists no reduction from a language outside C to a language in C. If a class is closed under many-one reducibility, then many-one...
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  • input, the enumeration algorithm must produce the list of all solutions, without duplicates, and then halt. The performance of an enumeration algorithm...
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  • Thumbnail for Common Weakness Enumeration
    Weakness Enumeration. Archived from the original on 2025-01-07. Certifying Applications for Known Security Weaknesses. The Common Weakness Enumeration (CWE)...
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  • Thumbnail for Cograph
    In graph theory, a cograph, or complement-reducible graph, or P4-free graph, is a graph that can be generated from the single-vertex graph K1 by complementation...
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  • to 1 April 2023. However, enumeration was later extended several times until 30 May 2023, because of incomplete enumeration in large cities such as Karachi...
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  • powered on, the PCI bus(es) and device(s) must be enumerated by BIOS or operating system. Bus enumeration is performed by attempting to access the PCI configuration...
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  • In functional programming, fold (also termed reduce, accumulate, aggregate, compress, or inject) refers to a family of higher-order functions that analyze...
    39 KB (2,787 words) - 17:28, 5 December 2024
  • Eight queens puzzle (category Enumerative combinatorics)
    The 27×27 board is the highest-order board that has been completely enumerated. The following tables give the number of solutions to the n queens problem...
    35 KB (3,791 words) - 15:05, 25 March 2025
  • used to reach inductive generalizations are enumerative induction and eliminative induction. Enumerative induction is an inductive method in which a generalization...
    67 KB (8,642 words) - 20:39, 9 April 2025
  • classifies the hardness of computational problems using polynomial-time reducibility. Secure schemes are defined to be those in which the advantage of any...
    6 KB (694 words) - 19:54, 12 November 2023
  • Thumbnail for Census
    essential features of population and housing censuses as "individual enumeration, universality within a defined territory, simultaneity and defined periodicity"...
    56 KB (6,547 words) - 01:34, 29 April 2025
  • truth-table reducible to B (A ≤tt B), then A is also Turing reducible to B (A ≤T B). Considering also one-one reducibility, many-one reducibility and weak...
    4 KB (676 words) - 06:55, 30 December 2024
  • Thumbnail for Graph theory
    The techniques he used mainly concern the enumeration of graphs with particular properties. Enumerative graph theory then arose from the results of...
    50 KB (6,237 words) - 21:13, 9 May 2025
  • Thumbnail for Arithmetical hierarchy
    quantifiers by n). Arithmetical reducibility is an intermediate notion between Turing reducibility and hyperarithmetic reducibility. A set is arithmetical (also...
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  • system for standard semantics could be used to produce a recursively enumerable completion of Peano arithmetic, which Gödel's theorem shows cannot exist...
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  • implements encryption. This kind of VPN implementation has the benefit of reduced costs and greater flexibility, with respect to dedicated communication...
    33 KB (3,634 words) - 16:56, 3 May 2025
  • declare an enumeration: #define DEFINE_ENUMERATION(id, name, ...) name = id, enum my_id_list_type { FOR_LIST_OF_VARIABLES( DEFINE_ENUMERATION ) } In a similar...
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  • Thumbnail for 2011 South African census
    during the census night. The pre-enumeration phase involved over 7000 temporary staff, who concurrently demarcated enumeration areas, evaluated questionnaires...
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  • Thumbnail for Principia Mathematica
    primitive propositions ✱9 through ✱9.15 together with the Axioms of reducibility. The revised theory is made difficult by the introduction of the Sheffer...
    70 KB (9,477 words) - 13:36, 8 May 2025
  • partial order ≤ over any n-element set S. We enumerate S as s1, …, sn, and in such a way that the enumeration is compatible with the order ≤ on S, that is...
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  • degree is called recursively enumerable (r.e.) or computably enumerable (c.e.) if it contains a recursively enumerable set. Every r.e. degree is below...
    24 KB (3,130 words) - 01:59, 26 September 2024