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complete 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 theory (computer science) — In computer science, computability theory is the branch of the theory of computation that studies which problems are computationally solvable using different models of computation.Computability theory differs from the related discipline of… …   Wikipedia

  • Complete numbering — In computability theory complete numberings are generalizations of Gödel numbering first introduced by A.I. Mal tsev in 1963. They are studied because several important results like the Kleene s recursion theorem and Rice s theorem, which were… …   Wikipedia

  • Complete theory — In mathematical logic, a theory is complete if it is a maximal consistent set of sentences, i.e., if it is consistent, and none of its proper extensions is consistent. For theories in logics which contain classical propositional logic, this is… …   Wikipedia

  • List of computability and complexity topics — This is a list of computability and complexity topics, by Wikipedia page. Computability theory is the part of the theory of computation that deals with what can be computed, in principle. Computational complexity theory deals with how hard… …   Wikipedia

  • Numbering (computability theory) — In computability theory a numbering is the assignment of natural numbers to a set of objects like rational numbers, graphs or words in some language. A numbering can be used to transfer the idea of computability and related concepts, which are… …   Wikipedia

  • Turing 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… …   Wikipedia

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  • Mathematical 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… …   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

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