- computability theory
-
a) Recursion theory.b) The branch of the theory of computation that studies which problems are computationally solvable using different models of computation.
Wikipedia foundation.
Wikipedia foundation.
Computability theory — For the concept of computability, see Computability. Computability theory, also called recursion theory, is a branch of mathematical logic that originated in the 1930s with the study of computable functions and Turing degrees. The field has grown … Wikipedia
Computability theory (computer science) — In computer science, computability theory is the branch of the theory of computation that studies which problems are computationally solvable using different models of computation.Computability theory differs from the related discipline of… … Wikipedia
Numbering (computability theory) — In computability theory a numbering is the assignment of natural numbers to a set of objects like rational numbers, graphs or words in some language. A numbering can be used to transfer the idea of computability and related concepts, which are… … Wikipedia
Mortality (computability theory) — In computability theory, the mortality problem is a decision problem which can be stated as follows: Given a Turing machine, decide whether it halts when run on any configuration (not necessarily a starting one) In the statement above, the… … Wikipedia
Counting problem (computability theory) — In computability theory, a counting problem is a type of computational problem. If R is a search problem then :c R(x)=vert{ymid R(x,y)}vert ,is the corresponding counting function and:#R={(x,y)mid yleq c R(x)}denotes the corresponding counting… … Wikipedia
Computability logic — Introduced by Giorgi Japaridze in 2003, computability logic is a research programme and mathematical framework for redeveloping logic as a systematic formal theory of computability, as opposed to classical logic which is a formal theory of truth … Wikipedia
Theory of computation — In theoretical computer science, the theory of computation is the branch that deals with whether and how efficiently problems can be solved on a model of computation, using an algorithm. The field is divided into three major branches: automata… … Wikipedia
Computability — You might be looking for Computable function, Computability theory, Computation, or Theory of computation. Computability is the ability to solve a problem in an effective manner. It is a key topic of the field of computability theory within… … Wikipedia
Computability in Europe — Association CiE logo Computability in Europe (CiE) is an international organization of mathematicians, logicians, computer scientists, philosophers, theoretical physicists and others interested in new developments in computability and in their… … Wikipedia
Theory (mathematical logic) — This article is about theories in a formal language, as studied in mathematical logic. For other uses, see Theory (disambiguation). In mathematical logic, a theory (also called a formal theory) is a set of sentences in a formal language. Usually… … Wikipedia