Exemplos de uso de Computable functions em Inglês e suas traduções para o Português
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R is equal to the set of all total computable functions.
Then there are computable functions formula_29 and formula_30.
Kleene's realizability theory identifies the functions with the computable functions.
The class of computable functions that are constant, and its complement.
The μ operator is used in the characterization of the computable functions as the μ recursive functions. .
Computable functions are the basic objects of study in computability theory.
Let formula_27 be a set of computable functions such that formula_28.
Computable functions are the formalized analogue of the intuitive notion of algorithm.
Given a Gödel numbering formula_4 of the computable functions, the set formula_10 is recursively enumerable.
Computable functions are a fundamental concept within computer science and mathematics.
The definition depends on a suitable Gödel numbering that assigns natural numbers to computable functions.
The class of computable functions that return 0 for at least one input, and its complement.
The T predicate can be used to obtain Kleene's normal form theorem for computable functions Soare 1987, pp. 15.
Then there are computable functions f∈ F{\displaystyle f\in F} and g∉ F{\displaystyle g\notin F.
Let T be a first-order theory in the language of arithmetic and capable of representing all computable functions.
Let F{\displaystyle F}be a set of computable functions such that∅≠ F≠ P( 1){\displaystyle\emptyset\neq F\neq\mathbf{P}^{1.
Background==The definition of a halting probability relies on the existence of prefix-free universal computable functions.
Notes===A Blum complexity measure is defined using computable functions without any reference to a specific model of computation.
The Blum axioms can be used to define an abstract computational complexity theory on the set of computable functions.
Such hierarchies provide a natural way to classify computable functions according to rate-of-growth and computational complexity.
In computational complexity theory the compression theorem is an important theorem about the complexity of computable functions.
One method of classifying the strength of these weak systems is by characterizing which computable functions the system can prove to be total see Fairtlough and Wainer 1998.
A common statement of the lemma(as given below)makes the stronger assumption that the theory can represent all computable functions.
Formal statement==Let formula_1 be a Gödel numbering of the computable functions; a map from the natural numbers to the class formula_2 of unary(partial) computable functions.
Statement of the lemma==Let"T" be a first-order theory in the language of arithmetic and capable of representing all computable functions.
Kleene 1967 uses the letter T to describe a different predicate related to computable functions, but which cannot be used to obtain Kleene's normal form theorem.
The theorem states that there exists no largest complexity class, with computable boundary,which contains all computable functions.
The result for recursively enumerable sets can be obtained from that for(partial) computable functions by considering the class{ ϕ e: dom ϕ e∈ C}{\displaystyle\{\phi_{e}:{\textrm{dom}}\,\phi_{e}\in C\}}, where C{\displaystyle C} is a class of recursively enumerable sets.
Constructions can be defined as broadly as free choice sequences,which is the intuitionistic view, or as narrowly as algorithms(or more technically, the computable functions), or even left unspecified.
Carnap's work was phrased in alternate language,as the concept of computable functions was not yet developed in 1934.