In computability theory Rogers' equivalence theorem characterizes the Gödel numberings, or effective numberings of the set of
Equivalence theorem
A numbering of the set of computable functions satisfies the smn theorem and the
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Utm theorem — In computability theory the utm theorem or universal turing machine theorem is a basic result about Gödel numberings of the set of computable functions. It proves the existence of a computable universal function which is capable of calculating… … Wikipedia
Hartley Rogers, Jr — Hartley Rogers, Jr. is a mathematician who has worked in the field of recursion theory. The Rogers equivalence theorem is named after him. He is a professor of mathematics at the Massachusetts Institute of Technology. He received his PhD in… … Wikipedia
Mass–energy equivalence — E=MC2 redirects here. For other uses, see E=MC2 (disambiguation). 4 meter tall sculpture of Einstein s 1905 E = mc2 formula at the 2006 Walk of Ideas, Berlin, Germany In physics, mass–energy equivalence is the concept that the … Wikipedia
Acceptable programming system — In the theory of computation in computer science, a programming system is a Gödel numbering of the set mathcal{T} of all Turing computable functions from mathbb{N} to mathbb{N}. The name derives from the numbering of mathcal{T} induced by a… … Wikipedia
Algorithm characterizations — The word algorithm does not have a generally accepted definition. Researchers are actively working in formalizing this term. This article will present some of the characterizations of the notion of algorithm in more detail. This article is a… … Wikipedia
analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… … Universalium
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
metalogic — /met euh loj ik/, n. the logical analysis of the fundamental concepts of logic. [1835 45; META + LOGIC] * * * Study of the syntax and the semantics of formal languages and formal systems. It is related to, but does not include, the formal… … Universalium
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
Decision problem — A decision problem has only two possible outputs, yes or no (or alternately 1 or 0) on any input. In computability theory and computational complexity theory, a decision problem is a question in some formal system with a yes or no answer,… … Wikipedia
