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Higher Recursion Theory
  • Language: en

Higher Recursion Theory

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the second publication in the Perspectives in Logic series, is an almost self-contained introduction to higher recursion theory, in which the reader is only assumed to know the basics of classical recursion theory. The book is divided into four parts: hyperarithmetic sets, metarecursion, α-recursion, and E-recursion. This text is essential reading for all researchers in the field.

Recursion-Theoretic Hierarchies
  • Language: en
  • Pages: 493

Recursion-Theoretic Hierarchies

The theory set out in this book results from the meeting of descriptive set theory and recursion theory.

Recursion Via Pascal
  • Language: en
  • Pages: 208

Recursion Via Pascal

This book is devoted to recursion in programming, the technique by which the solution to a problem is expressed partly in terms of the solution to a simpler version of the same problem. Ultimately the solution to the simplest version must be given explicitly. In functional programming, recursion has received its full due since it is quite often the only repetitive construct. However, the programming language used here is Pascal and the examples have been chosen accordingly. It makes an interesting contrast with the use of recursion in functional and logic programming. The early chapters consider simple linear recursion using examples such as finding the highest common factor of a pair of numbers, and processing linked lists. Subsequent chapters move up through binary recursion, with examples which include the Towers of Hanoi problem and symbolic differentiation, to general recursion. The book contains well over 100 examples.

Recursion on the Countable Functionals
  • Language: en
  • Pages: 199

Recursion on the Countable Functionals

  • Type: Book
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  • Published: 2006-12-08
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  • Publisher: Springer

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Recursion Theory
  • Language: en
  • Pages: 528

Recursion Theory

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Formalized Recursive Functionals and Formalized Realizability
  • Language: en
  • Pages: 110

Formalized Recursive Functionals and Formalized Realizability

This monograph carries out the program which the author formulated in earlier work, the formalization of the theory of recursive functions of type 0 and 1 and of the theory of realizability.

The Recursive Book of Recursion
  • Language: en
  • Pages: 330

The Recursive Book of Recursion

An accessible yet rigorous crash course on recursive programming using Python and JavaScript examples. Recursion has an intimidating reputation: it’s considered to be an advanced computer science topic frequently brought up in coding interviews. But there’s nothing magical about recursion. The Recursive Book of Recursion uses Python and JavaScript examples to teach the basics of recursion, exposing the ways that it’s often poorly taught and clarifying the fundamental principles of all recursive algorithms. You’ll learn when to use recursive functions (and, most importantly, when not to use them), how to implement the classic recursive algorithms often brought up in job interviews, an...

Recursion Theory, Its Generalisations and Applications
  • Language: en
  • Pages: 329

Recursion Theory, Its Generalisations and Applications

This book is a collection of advanced research/survey papers by eminent research workers in the Recursion theory.

Recursion Theory
  • Language: en
  • Pages: 85

Recursion Theory

  • Type: Book
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  • Published: 2018-04-27
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  • Publisher: CRC Press

This volume, which ten years ago appeared as the first in the acclaimed series Lecture Notes in Logic, serves as an introduction to recursion theory. The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests. The clarity and focus of this text have established it as a classic instrument for teaching and self-study that prepares its readers for the study of advanced monographs and the current literature on recursion theory.

Recursions for Convolutions and Compound Distributions with Insurance Applications
  • Language: en
  • Pages: 348

Recursions for Convolutions and Compound Distributions with Insurance Applications

Since 1980, methods for recursive evaluation of aggregate claims distributions have received extensive attention in the actuarial literature. This book gives a unified survey of the theory and is intended to be self-contained to a large extent. As the methodology is applicable also outside the actuarial field, it is presented in a general setting, but actuarial applications are used for motivation. The book is divided into two parts. Part I is devoted to univariate distributions, whereas in Part II, the methodology is extended to multivariate settings. Primarily intended as a monograph, this book can also be used as text for courses on the graduate level. Suggested outlines for such courses are given. The book is of interest for actuaries and statisticians working within the insurance and finance industry, as well as for people in other fields like operations research and reliability theory.