Examples of using Computability in English and their translations into Romanian
{-}
-
Colloquial
-
Official
-
Medicine
-
Ecclesiastic
-
Ecclesiastic
-
Computer
-
Programming
Association Computability in Europe.
Generalizations of Turing computability.
Relative computability and the Turing degrees.
Relationships between definability,proof and computability.
Robert Soare,"Computability and recursion", Bull.
Similarly, Tarski's indefinability theorem can be interpreted both in terms of definability and in terms of computability.
Computability theory for digital computation is well developed.
Theory of Computation at MIT Theory of Computation at Harvard Computability Logic- A theory of interactive computation.
Books on computability theory from the(wider) mathematical perspective.
Tarski has stressed in his lecture(and I think justly)the great importance of the concept of general recursiveness(or Turing's computability).
Much of computability theory builds on the halting problem result.
This contrasts with the theory of subrecursive hierarchies, formal methods andformal languages that is common in the study of computability theory in computer science.
Computability, An introduction to recursive function theory, Cambridge University Press.
The field of mathematical logic dealing with computability and its generalizations has been called"recursion theory" since its early days.
Computability theory deals primarily with the question of the extent to which a problem is solvable on a computer.
Recursion theorists in mathematical logic often study the theory of relative computability, reducibility notions and degree structures described in this article.
The management of the various information technologies and their formal problems of development:Artificial Intelligence, semantic web, computability, etc.
The main form of computability studied in recursion theory was introduced by Turing(1936).
This new simulation technique is based on recent results obtained in membrane based computability and is going to complement the cell simulation methods used at this time.
Computability theory, also called recursion theory, is a branch of mathematical logic, of computer science, and of the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees.
Recursion theory in mathematical logic has traditionally focused on relative computability, a generalization of Turing computability defined using oracle Turing machines, introduced by Turing(1939).
Computability theory is less well developed for analog computation that occurs in analog computers, analog signal processing, analog electronics, neural networks and continuous-time control theory, modelled by differential equations and continuous dynamical systems(Orponen 1997; Moore 1996).
The statement that the halting problem cannot be solved by a Turing machine[7]is one of the most important results in computability theory, as it is an example of a concrete problem that is both easy to formulate and impossible to solve using a Turing machine.
Another important step in computability theory was Rice's theorem, which states that for all non-trivial properties of partial functions, it is undecidable whether a Turing machine computes a partial function with that property.[8].
Not all researchers have been convinced, however, as explained by Fortnow[6] and Simpson.[7]Some commentators argue that both the names recursion theory and computability theory fail to convey the fact that most of the objects studied in recursion theory are not computable.[8].
Computability theory is closely related to the branch of mathematical logic called recursion theory, which removes the restriction of studying only models of computation which are reducible to the Turing model.[9] Many mathematicians and computational theorists who study recursion theory will refer to it as computability theory.
Karp For his continuing contributions to the theory of algorithms including the development of efficient algorithms for network flow and other combinatorial optimization problems,the identification of polynomial-time computability with the intuitive notion of algorithmic efficiency, and, most notably, contributions to the theory of NP-completeness.