Computable
71Constructivism (mathematics) — In the philosophy of mathematics, constructivism asserts that it is necessary to find (or construct ) a mathematical object to prove that it exists. When one assumes that an object does not exist and derives a contradiction from that assumption,… …
72Number — For other uses, see Numbers (disambiguation). A number is a mathematical object used to count and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational… …
73Gap theorem — See also Gap theorem (disambiguation) for other gap theorems in mathematics. In computational complexity theory the Gap theorem is a major theorem about the complexity of computable functions. [Lance Fortnow, Steve Homer,… …
74Nakamura number — In cooperative game theory and social choice theory, the Nakamura number measures the degree of rationality of preference aggregation rules (collective decision rules), such as voting rules. It is an indicator of the extent to which an… …
75PA degree — In recursion theory, a mathematical discipline, a PA degree is a Turing degree that computes a complete extension of Peano arithmetic (Jockusch 1987). These degrees are closely related to fixed point free (DNR) functions, and have been thoroughly …
76Teorema de la jerarquía temporal — En la teoría de complejidad computacional, los teoremas de jerarquía temporal son declaraciones importantes sobre cómputo de tiempo acotado en máquinas de Turing. Informalmente, estos teoremas dicen que con más tiempo, una máquina de Turing puede …
77COMPUTER 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… …
78Mathematical logic — (also known as symbolic logic) is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic.[1] The field includes both the mathematical study of logic and the… …
79Universal Turing machine — This article is a supplement to the article Turing machine. Alan Turing s universal computing machine (alternately universal machine , machine U , U ) is the name given by him (1936 1937) to his model of an all purpose a machine (computing… …
80Enumeration — In mathematics and theoretical computer science, the broadest and most abstract definition of an enumeration of a set is an exact listing of all of its elements (perhaps with repetition). The restrictions imposed on the type of list used depend… …
