Description: Algebraic Computability and Enumeration Models by Cyrus F. Nourani This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint. The reader is first introduced to categories and functorial models, with Kleene algebra examples for languages. Functorial models for Peano arithmetic are described toward important computational complexity areas on a Hilbert program, leading to computability with initial models. Infinite language categories are also introduced to explain descriptive complexity with recursive computability with admissible sets and urelements. Algebraic and categorical realizability is staged on several levels, addressing new computability questions with omitting types realizably. Further applications to computing with ultrafilters on sets and Turing degree computability are examined. Functorial models computability is presented with algebraic trees realizing intuitionistic types of models. New homotopy techniques are applied to Marin Lof types of computations with model categories. Functorial computability, induction, and recursion are examined in view of the above, presenting new computability techniques with monad transformations and projective sets.This informative volume will give readers a complete new feel for models, computability, recursion sets, complexity, and realizability. This book pulls together functorial thoughts, models, computability, sets, recursion, arithmetic hierarchy, filters, with real tree computing areas, presented in a very intuitive manner for university teaching, with exercises for every chapter. The book will also prove valuable for faculty in computer science and mathematics. FORMAT Hardcover LANGUAGE English CONDITION Brand New Author Biography Dr. Cyrus F. Nourani has a national and international reputation in computer science, artificial intelligence, mathematics, virtual haptic computation, information technology, and management. He has many years of experience in the design and implementation of computing systems. Dr. Nouranis academic experience includes faculty positions at the University of Michigan-Ann Arbor, the University of Pennsylvania, the University of Southern California, UCLA, MIT, and the University of California, Santa Barbara. He was also research professor at Simon Frasier University in Burnaby, British Columbia, Canada. He was a visiting professor at Edith Cowan University, Perth, Australia, and a lecturer of management science and IT at the University of Auckland, New Zealand. Dr. Nourani commenced his university degrees at MIT where he became interested in algebraic semantics. That was pursued with a category theorist at the University of California. Dr. Nouranis dissertation on computing models and categories proved to have intuitionist forcing developments that were published from his postdoctoral times on at ASL. He has taught AI to the Los Angeles aerospace industry and has authored many R&D and commercial ventures. He has written and co-authored several books. He has over 350 publications in mathematics and computer science and has written on additional topics, such as pure mathematics, AI, EC, and IT management science, decision trees, predictive economics game modeling. In 1987, he founded Ventures for computing R&D. He began independent consulting with clients such as System Development Corporation (SDC), the US Air Force Space Division, and GE Aerospace. Dr. Nourani has designed and developed AI robot planning and reasoning systems at Northrop Research and Technology Center, Palos Verdes, California. He also has comparable AI, software, and computing foundations and R&D experience at GTE Research Labs. Table of Contents Preface. Introduction. Computing Categories, Language Fragments, and Models. Functorial Admissible Models. Initial Tree Computing and Languages. Descriptive Sets and Infinitary Languages. Complexity and Computing. Arithmetic Hierarchy and Enumeration Degrees. Peano Arithmetic Models and Computability. Realizability and Computability. Index. Review One of the 14 Best-Selling Recursion Theory eBooks of All Time by BookAuthority Details ISBN1771882476 Author Cyrus F. Nourani Short Title ALGEBRAIC COMPUTABILITY & ENUM Language English ISBN-10 1771882476 ISBN-13 9781771882477 Media Book Format Hardcover Imprint Apple Academic Press Inc. Subtitle Recursion Theory and Descriptive Complexity Place of Publication Oakville Country of Publication Canada Year 2016 Pages 310 DEWEY 511.352 Affiliation Simon Fraser University, British Columbia, Canada Publication Date 2016-02-24 UK Release Date 2016-02-24 Publisher Apple Academic Press Inc. Alternative 9781774635759 Audience Tertiary & Higher Education We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:139839996;
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ISBN-13: 9781771882477
Book Title: Algebraic Computability and Enumeration Models
Number of Pages: 310 Pages
Language: English
Publication Name: Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity
Publisher: Apple Academic Press Inc.
Publication Year: 2016
Subject: Mathematics
Item Height: 229 mm
Item Weight: 544 g
Type: Textbook
Author: Cyrus F. Nourani
Item Width: 152 mm
Format: Hardcover