Computable
61Digital 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 …
62Algorithmically random sequence — Intuitively, an algorithmically random sequence (or random sequence) is an infinite sequence of binary digits that appears random to any algorithm. The definition applies equally well to sequences on any finite set of characters. Random sequences …
63Turing 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… …
64Turing completeness — For the usage of this term in the theory of relative computability by oracle machines, see Turing reduction. In computability theory, a system of data manipulation rules (such as an instruction set, a programming language, or a cellular… …
65Jürgen Schmidhuber — (born 1963 in Munich) is a computer scientist and artist known for his work on machine learning, universal Artificial Intelligence (AI), artificial neural networks, digital physics, and low complexity art. His contributions also include… …
66Turing reduction — In computability theory, a Turing reduction from a problem A to a problem B, named after Alan Turing, is a reduction which solves A, assuming B is already known (Rogers 1967, Soare 1987). It can be understood as an algorithm that could be used to …
67Blum axioms — In computational complexity theory the Blum axioms or Blum complexity axioms are axioms which specify desirable properties of complexity measures on the set of computable functions. The axioms were first defined by Manuel Blum in 1967.… …
68Large countable ordinal — In the mathematical discipline of set theory, there are many ways of describing specific countable ordinals. The smallest ones can be usefully and non circularly expressed in terms of their Cantor normal forms. Beyond that, many ordinals of… …
69Effective dimension — In mathematics, effective dimension is a modification of Hausdorff dimension and other fractal dimensions which places it in a computability theory setting. There are several variations (various notions of effective dimension) of which the most… …
70Algorithm — Flow chart of an algorithm (Euclid s algorithm) for calculating the greatest common divisor (g.c.d.) of two numbers a and b in locations named A and B. The algorithm proceeds by successive subtractions in two loops: IF the test B ≤ A yields yes… …
