theory, enumeration reducibility (or e-reducibility for short) is a specific type of reducibility. Roughly speaking, A is enumeration-reducible to B if...

{\displaystyle b=1} and so on. Enumeration reducibility: Similar to positive reducibility, relating to the effective procedure of enumerability from A {\displaystyle...

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...

to many counting problems, in particular to the enumeration of chemical compounds. The Pólya enumeration theorem has been incorporated into symbolic combinatorics...

respect to many-one reducibility and with respect to Turing reducibility. In 1944, Post asked whether every computably enumerable set is either computable...

defined via enumeration operators. Enumeration operators are of central importance in the study of enumeration reducibility. Each enumeration operator Φ...

combinatorics, an area of mathematics, graph enumeration describes a class of combinatorial enumeration problems in which one must count undirected or...

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...

input, the enumeration algorithm must produce the list of all solutions, without duplicates, and then halt. The performance of an enumeration algorithm...

Soare, 1987. Recursively enumerable sets and degrees, Springer. Davis, Martin (November 2006). "What is...Turing Reducibility?" (PDF). Notices of the American...

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...

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...

In computer science, state space enumeration are methods that consider each reachable program state to determine whether a program satisfies a given property...

_{e}} be a computable enumeration of all partial computable functions, and W e {\displaystyle W_{e}} be a computable enumeration of all c.e. sets. Let...

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...

Weakness Enumeration. Archived from the original on 2025-01-07. Certifying Applications for Known Security Weaknesses. The Common Weakness Enumeration (CWE)...

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...

essential features of population and housing censuses as "individual enumeration, universality within a defined territory, simultaneity and defined periodicity"...

TryGetValue("Sally Smart", result), result, "n/a") Example demonstrating enumeration (see #C# enumeration): ' loop through the collection and display each entry. For...

In functional programming, fold (also termed reduce, accumulate, aggregate, compress, or inject) refers to a family of higher-order functions that analyze...

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...

classifies the hardness of computational problems using polynomial-time reducibility. Secure schemes are defined to be those in which the advantage of any...

The techniques he used mainly concern the enumeration of graphs with particular properties. Enumerative graph theory then arose from the results of...

used to reach inductive generalizations are enumerative induction and eliminative induction. Enumerative induction is an inductive method in which a generalization...

permutation can be realized in this way. The separable permutations are enumerated by the Schröder numbers. That is, there is one separable permutation of...

in Quantum Chemistry, CRC Press, Boca Raton, Florida Richard Stanley, Enumerative Combinatorics, Vol. 2 Burnside, William (1955), Theory of groups of finite...

counting problems of projective geometry and, as such, is viewed as part of enumerative geometry. Giving it a more rigorous foundation was the aim of Hilbert's...

and surface area of a hypersphere, and they have many applications in enumerative combinatorics. They occur in Student's t-distribution (1908), though...

Office of Hawaiian Affairs (May 2017). "Native Hawaiian Population Enumerations in Hawaiʻi" (PDF). p. 22. Archived from the original (PDF) on January...

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...