effective computability

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• Computability 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 …   Wikipedia

• Computability — You might be looking for Computable function, Computability theory, Computation, or Theory of computation. Computability is the ability to solve a problem in an effective manner. It is a key topic of the field of computability theory within… …   Wikipedia

• Computability logic — Introduced by Giorgi Japaridze in 2003, computability logic is a research programme and mathematical framework for redeveloping logic as a systematic formal theory of computability, as opposed to classical logic which is a formal theory of truth …   Wikipedia

• Effective 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… …   Wikipedia

• Effective results in number theory — For historical reasons and in order to have application to the solution of Diophantine equations, results in number theory have been scrutinised more than in other branches of mathematics to see if their content is effectively computable. Where… …   Wikipedia

• Effective method — An effective method (also called an effective procedure) for a class of problems is a method for which each step in the method may be described as a mechanical operation and which, if followed rigorously, and as far as may be necessary, is bound… …   Wikipedia

• Logics for computability — are formulations of logic whichcapture some aspect of computability as a basic notion. This usually involves a mixof special logical connectives as well as semantics which explains how the logic is to be interpreted in a computational… …   Wikipedia

• Church–Turing thesis — Church s thesis redirects here. For the constructive mathematics assertion, see Church s thesis (constructive mathematics). In computability theory, the Church–Turing thesis (also known as the Church–Turing conjecture, Church s thesis, Church s… …   Wikipedia

• History of the Church–Turing thesis — This article is an extension of the history of the Church–Turing thesis. The debate and discovery of the meaning of computation and recursion has been long and contentious. This article provides detail of that debate and discovery from Peano s… …   Wikipedia

• History of the Church-Turing thesis — This article is an extension of the history of the Church Turing thesis.The debate and discovery of the meaning of computation and recursion has been long and contentious. This article provides detail of that debate and discovery from Peano s… …   Wikipedia

• Recursion 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… …   Wikipedia