enumerable type
1Recursively enumerable language — In mathematics, logic and computer science, a recursively enumerable language is a type of formal language which is also called partially decidable or Turing acceptable. It is known as a type 0 language in the Chomsky hierarchy of formal… …
2Recursively enumerable set — In computability theory, traditionally called recursion theory, a set S of natural numbers is called recursively enumerable, computably enumerable, semidecidable, provable or Turing recognizable if: There is an algorithm such that the set of… …
3Intuitionistic type theory — Intuitionistic type theory, or constructive type theory, or Martin Löf type theory or just Type Theory is a logical system and a set theory based on the principles of mathematical constructivism. Intuitionistic type theory was introduced by Per… …
4RÉCURSIVITÉ — Les (semi ) fonctions récursives ont été introduites pour donner un équivalent mathématique à la notion métamathématique intuitive de (semi ) fonction effectivement ou mécaniquement calculable (cf. LOGIQUE MATHÉMATIQUE, chap. 4). Par souci de… …
5Computability 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 …
6mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… …
7Recursion 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… …
8Chomsky hierarchy — Within the field of computer science, specifically in the area of formal languages, the Chomsky hierarchy (occasionally referred to as Chomsky–Schützenberger hierarchy) is a containment hierarchy of classes of formal grammars. This hierarchy of… …
9Computable function — Total recursive function redirects here. For other uses of the term recursive function , see Recursive function (disambiguation). Computable functions are the basic objects of study in computability theory. Computable functions are the formalized …
10automata theory — Body of physical and logical principles underlying the operation of any electromechanical device (an automaton) that converts information input in one form into another, or into some action, according to an algorithm. Norbert Wiener and Alan M.… …
