Logic Sets and Recursion

• Author : Robert L. Causey
• Publisher : Jones & Bartlett Learning
• Release : 23 May 2022

The new Second Edition incorporates a wealth of exercise sets, allowing students to test themselves and review important topics discussed throughout the text."--Jacket.

• Author : David J. Lobina
• Publisher : Oxford University Press
• Release : 29 June 2017

This book provides a comprehensive account of the role of recursion in language in two distinct but interconnected ways. First, David J. Lobina examines how recursion applies at different levels within a full description of natural language. Specifically, he identifies and evaluates recursion as: a) a central property of the computational system underlying the faculty of language; b) a possible feature of the derivations yielded by this computational system; c) a global characteristic of the structures generated by the language

• Author : P. Odifreddi
• Publisher : Elsevier
• Release : 04 February 1992

1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is both a comprehensive reference for the subject and a textbook starting from first principles. Among the subjects covered are: various equivalent approaches to effective computability and their relations with computers and programming languages; a discussion of Church's thesis; a modern solution to Post's problem; global properties of Turing degrees; and a complete algebraic characterization of many-one degrees. Included

• Author : V.S. Viswanath,Gerhard Müller
• Publisher : Springer Science & Business Media
• Release : 10 October 2008

In this monograph the recursion method is presented as a method for the analysis of dynamical properties of quantum and classical many-body systems in thermal equilibrium. Such properties are probed by many different experimental techniques used in materials science. Several representations and formulations of the recursion method are described in detail and documented with numerous examples, ranging from elementary illustrations for tutorial purposes to realistic models of interest in current research in the areas of spin dynamics and low-dimensional magnetism.

• Author : Luiz Amaral,Marcus Maia,Andrew Nevins,Tom Roeper
• Publisher : Cambridge University Press
• Release : 07 June 2018

Recursion and self-embedding are at the heart of our ability to formulate our thoughts, articulate our imagination and share with other human beings. Nonetheless, controversy exists over the extent to which recursion is shared across all domains of syntax. A collection of 18 studies are presented here on the central linguistic property of recursion, examining a range of constructions in over a dozen languages representing great areal, typological and genetic diversity and spanning wide latitudes. The volume expands the topic to

• Author : Francis Lowenthal,Laurent Lefebvre
• Publisher : Springer Science & Business Media
• Release : 26 November 2013

As humans, our many levels of language use distinguish us from the rest of the animal world. For many scholars, it is the recursive aspect of human speech that makes it truly human. But linguists continue to argue about what recursion actually is, leading to the central dilemma: is full recursion, as defined by mathematicians, really necessary for human language? Language and Recursion defines the elusive construct with the goal of furthering research into language and cognition. An up-to-date literature

• Author : Harry van der Hulst
• Publisher : Walter de Gruyter
• Release : 26 March 2010

The present volume is an edited collection of original contributions which all deal with the issue of recursion in human language(s). All contributions originate as papers that were presented at a conference on the topic of recursion in human language organized by Dan Everett in March 22, 2007. For the purpose of this collection all articles underwent a double-blind peer-review process. The present chapters were written in the course of 2008. Although the ‘recursive’ nature of linguistic expressions, i.e. the apparent

• Author : Peter G. Hinman
• Publisher : Cambridge University Press
• Release : 02 March 2017

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

• Author : M. Fitting
• Publisher : Elsevier
• Release : 18 August 2011

Fundamentals of Generalized Recursion Theory

• Author : Chi Tat Chong,Liang Yu
• Publisher : Walter de Gruyter GmbH & Co KG
• Release : 17 August 2015

This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory. The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental

• Author : Gerald E. Sacks
• Publisher : Cambridge University Press
• Release : 02 March 2017

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

• Author : F. R. Drake,S. S. Wainer
• Publisher : Cambridge University Press
• Release : 13 November 1980

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

• Author : Heinz-Dieter Ebbinghaus,Gert H. Müller,Gerald E. Sacks
• Publisher : Springer
• Release : 14 November 2006

• Author : Chiu-Chu Melissa Liu,Motohico Mulase
• Publisher : American Mathematical Soc.
• Release : 19 November 2018

This volume contains the proceedings of the 2016 AMS von Neumann Symposium on Topological Recursion and its Influence in Analysis, Geometry, and Topology, which was held from July 4–8, 2016, at the Hilton Charlotte University Place, Charlotte, North Carolina. The papers contained in the volume present a snapshot of rapid and rich developments in the emerging research field known as topological recursion. It has its origin around 2004 in random matrix theory and also in Mirzakhani's work on the volume of moduli spaces of

• Author : D. Normann
• Publisher : Springer
• Release : 08 December 2006