strictly computable
1Recursion 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… …
2Computability 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 …
3Real number — For the real numbers used in descriptive set theory, see Baire space (set theory). For the computing datatype, see Floating point number. A symbol of the set of real numbers …
4COMPUTER SCIENCE — The term Computer Science encompasses three different types of research areas: computability, efficiency, and methodology. General Introduction Computability deals with the question of what is mechanically computable. The most natural way to… …
5Halting problem — In computability theory, the halting problem can be stated as follows: Given a description of a computer program, decide whether the program finishes running or continues to run forever. This is equivalent to the problem of deciding, given a… …
6Machine that always halts — In computability theory, a machine that always halts also called a decider (Sipser, 1996) or a total Turing machine (Kozen, 1997) is a Turing machine that halts for every input. Because it always halts, the machine is able to decide whether a… …
7Busy beaver — In computability theory, a busy beaver (from the colloquial expression for an industrious person) is a Turing machine that attains the maximum operational busyness (such as measured by the number of steps performed, or the number of nonblank… …
8Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …
9Reverse mathematics — is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. The method can briefly be described as going backwards from the theorems to the axioms. This contrasts with the ordinary… …
10Digital physics — In physics and cosmology, digital physics is a collection of theoretical perspectives based on the premise that the universe is, at heart, describable by information, and is therefore computable. Therefore, the universe can be conceived as either …
