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- Computability theory - Wikipedia
- The book offers a detailed study of recent results in metric fixed point theory, presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations and covers basic definitions, mathematical preliminaries and proof of the main results.
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- Not to be confused with Kleenes theorem for regular languages. In computability theory, Kleenes recursion theorems are a pair of fundamental results about the application of computable functions to their own descriptions. The theorems were first proved by Stephen Kleene in 1938 and appear in his 1952 book Introduction to Metamathematics. A related theorem which constructs fixed points of a computable function is known as Rogerss theorem …

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- CLASS FIELD THEORY, ITS THREE MAIN GENERALISATIONS, …
- Recursion Theory, Its Generalisations And Applications

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- Sep 27, 2020
- Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees. The field has since expanded to include the study of generalized computability and definability. In these areas, recursion theory overlaps with proof theory and effective descriptive set theory. Basic questions addressed by recursion theory …
- The Stress-strength Model and Its Generalizations: Theory
- Recursion Theory Its Generalisations and Applications The paper concentrated on "a very limited portion of a subtheory of the hoped for general theory (of recursive functions)", the recursively …

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- First of all, I strongly recommend the book Introduction to Set Theory by Karel Hrbacek and Thomas Jech. It contains a lucid exposition of elementary axiomatic set theory. In particular, in the section 3 of the chapter 3 various versions of the recursion theorem and some applications of them are presented. One of these versions is the following
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- With known item response theory (IRT) item parameters, Lord and Wingersky provided a recursive algorithm for computing the conditional frequency distribution of number-correct test scores, given proficiency. This article presents a generalized algorithm for computing the conditional distribution of summed test scores involving real-number item scores.

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