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enumerable
▪ I. enumerable, a. (ɪˈnjuːmərəb(ə)l) [f. enumerate v. + -able.] That can be enumerated; having a definite number; numerable; spec. in Math. = denumerable a.1889 in Cent. Dict. 1907 E. W. Hobson Theory of Functions ii. 66 An aggregate which contains an indefinitely great number of elements is said t... Oxford English Dictionary
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Recursively enumerable language
Definitions There are three equivalent definitions of a recursively enumerable language: A recursively enumerable language is a recursively enumerable If is recursively enumerable, then the complement of is recursively enumerable if and only if is also recursive. wikipedia.org
en.wikipedia.org 0.0 1.5 0.0
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any? (Enumerable) - APIdock
What's this? any?(*args) public. Passes each element of the collection to the given block. The method returns true if the block ever returns a value other than false or nil. If the block is not given, Ruby adds an implicit block of { |obj| obj } that will cause #any? to return true if at least one of the collection members is not false or nil ...
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(Enumerable) set of natural numbers might not be effectively enumerable It is well known that a set of natural numbers, although trivially enumerable, might not be effectively enumerable. I am trying to understand thi...
So only a countable collections can be effectively enumerable.
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Computably enumerable set
A recursively enumerable language is a computably enumerable subset of a formal language. A set is called co-computably-enumerable or co-c.e. if its complement is computably enumerable. wikipedia.org
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Proove that Unions and intersections of recursively enumerable sets are also recursively enumerable How do I prove that Unions and intersections of recursively enumerable sets are also recursively enumerable?
Suppose $A, B$ are accepted by Turing machines $M_A, M_B$ respectively. [$A\cap B$] A TM that implements the following algorithm will accept $A\cap B$: On input $x$, 1. run $M_A$ on $x$; 2. run $M_B$ on $x$; 3. accept $x$ (halt). If $M_A$ or $M_B$ doesn't halt on $x$, so be it: in either case, this ...
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Non-recursive subset which is recursively enumerable What is an example of recursively enumerable subset of the natural numbers which is not recursive?
The set of universally valid formulas of first-order logic becomes such an example if you index formulas by natural numbers in a computable way. This is called Church's theorem, after Alonzo Church. He proved this in the 1930s. This means that although there is a fast proof-checking algorithm, there...
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If a language is context free ,then why is the complement of the language recursively enumerable? If a language is CFL , then it is clearly recursive and if it is recursive then it is obviously recursively enumerable ...
.** Every CFL is CSL , every CSL is recursive, and every recursive language is recursive enumerable language. So, complement of a CFL may not be CFL but that will be CSL sure, means, recursive as well as recursive enumerable language.
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Enumerable.ToDictionary Method (System.Linq) | Microsoft Learn
Creates a dictionary from an enumeration according to the default comparer for the key type. ToDictionary<TSource,TKey,TElement> (IEnumerable<TSource>, Func<TSource,TKey>, Func<TSource,TElement>) Creates a Dictionary<TKey,TValue> from an IEnumerable<T> according to specified key selector and element selector functions.
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Module: Enumerable (Ruby 3.0.2)
The Enumerable mixin provides collection classes with several traversal and searching methods, and with the ability to sort. The class must provide a method each, which yields successive members of the collection. If #max, min, or sort is used, the objects in the collection must also implement a meaningful <=> operator, as these methods rely on an ordering between members of the collection.
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Prove or disprove if it is enumerable I'm doing some excercises from the book "The Incompleteness Phenomenom" from Goldstern and Judah and I have to prove or disprove this: If $C$ is an inductive structure with a fin...
First case: finite number of block + finite number of operation: you are right $C$ is enumerable. rules: $C$ is still enumerable.
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最全面Enumerable类的实用总结_enumerable -CSDN博客
最全面Enumerable类的实用总结. ALL方法判断序列元素是否满足条件，如果满足条件则返回true'；否则返回false，该方法语法如下：. public static bool All<TSource> (this IEnumerable<TSource> source, Func<TSource, bool> predicate); Source：包含要应用谓词的元素的 System.Collections.Generic ...
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Enumerable.OrderByDescending 方法 (System.Linq) | Microsoft Learn
定义了两种方法来扩展 类型 IOrderedEnumerable<TElement> ，这是此方法的返回类型。. 这两种方法（即 ThenBy 和 ThenByDescending ）使你可以指定其他排序条件来对序列进行排序。. ThenBy 和 ThenByDescending 还返回 ， IOrderedEnumerable<TElement> 这意味着可以对 或 ThenByDescending 进行 ...
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Does there exist a context free formal language, the complement to which is not recursively enumerable? It is known, that there exist context free languages with non context free complement (for example $A^* \setminus...
Every context-free language is recursive, so its complement is also recursive and therefore recursively enumerable.
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module Enumerable - RDoc Documentation - Ruby doc
This call to inject gives a block that writes the memo and element, and also sums the elements: ( 1..4 ). injectdo|memo, element|p"Memo: # {memo}; element: # {element}"memo+elementend# => 10. Output: "Memo: 1; element: 2""Memo: 3; element: 3""Memo: 6; element: 4". Enumerable#reduce is an alias for Enumerable#inject.
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