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41Recursion theory — Recursion theory, also called computability 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 to include the study of generalized computability… …
42Computability 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… …
43Computability 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 …
44Undecidable problem — In computability theory and computational complexity theory, an undecidable problem is a decision problem for which it is impossible to construct an algorithm that leads to a yes or no answer the problem is not decidable.A decision problem is any …
45Oracle machine — In complexity theory and computability theory, an oracle machine is an abstract machine used to study decision problems. It can be visualized as a Turing machine with a black box, called an oracle, which is able to decide certain decision… …
46Rice's theorem — In computer science, Rice s theorem named after Henry Gordon Rice (also known as The Rice Myhill Shapiro theorem after Rice and John Myhill) states that, for any non trivial property of partial functions, there exists at least one algorithm for… …
47Super-recursive algorithm — In computer science and computability theory, super recursive algorithms are algorithms that are more powerful, that is, compute more, than Turing machines. The term was introduced by Mark Burgin, whose book Super recursive algorithms develops… …
48Description number — Description numbers are numbers that arise in the theory of Turing machines. They are very similar to Gödel numbers, and are also occasionally called Gödel numbers in the literature. Given some universal Turing machine, every Turing machine can,… …
49Recursive languages and sets — This article is a temporary experiment to see whether it is feasible and desirable to merge the articles Recursive set, Recursive language, Decidable language, Decidable problem and Undecidable problem. Input on how best to do this is very much… …
50Turing machine — For the test of artificial intelligence, see Turing test. For the instrumental rock band, see Turing Machine (band). Turing machine(s) Machina Universal Turing machine Alternating Turing machine Quantum Turing machine Read only Turing machine… …
