Algebraic Computability and Enumeration Models, Nourani, Cyrus F.
Автор: Sernadas Amilcar, Sernadas Cristina, Rasga Joao Название: A Mathematical Primer on Computability ISBN: 1848902964 ISBN-13(EAN): 9781848902961 Издательство: Неизвестно Цена: 4967 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The book provides a self-contained introduction to computability theory for advanced undergraduate or early graduate students of mathematics and computer science. The technical material is illustrated with plenty of examples, problems with fully worked solutions as well as a range of proposed exercises.
Part I is centered around fundamental computability notions and results, starting with the pillar concepts of computational model (an abstract high-level programming language), computable function, decidable and listable set, proper universal function, decision problem and the reduction technique for transferring decidability and listability properties. The essential results namely Rice's Theorem, Rice-Shapiro's Theorem, Rice-Shapiro-McNaughton-Myhill's Theorem as well as Rogers' Theorem and the Recursion Theorem are presented and illustrated. Many-to-one reducibility and many-to-one degrees are investigated. A short introduction to computation with oracles is also included. Computable as well as non-computable operators are introduced as well as monotonic and finitary operators. The relationship between them is discussed, in particular via Myhill-Shepherdson's Theorem. Kleene's Least Fixed Point Theorem is also presented. Finally, Part I terminates with a briefi ng on the Turing computational model, Turing reducibility and Turing degrees.
Part II of the book concentrates on applications of computability in several areas namely in logic (undecidability of arithmetic, satisfiability in propositional logic, decidability in modal logic), Euclidean geometry, graphs and Kolmogorov complexity. Nevertheless no previous knowledge of these subjects is required. The essential details for understanding the applications are provided.
Автор: Pippenger Название: Theories of Computability ISBN: 0521553806 ISBN-13(EAN): 9780521553803 Издательство: Cambridge Academ Рейтинг: Цена: 18876 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gives an introduction to theories of computability from a mathematically sophisticated point of view. It treats not only `the` theory of computability, but also a variety of other theories. Each topic is taken from the beginning and developed to a point at which the results can be appreciated.
Автор: C.S. Calude; M.J. Dinneen; S. Sburlan Название: Combinatorics, Computability and Logic ISBN: 1852335262 ISBN-13(EAN): 9781852335267 Издательство: Springer Рейтинг: Цена: 19897 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains the papers presented at the Third Combinatorics, Computability and Logic (DMTCS`01) conference, These papers cover topics such as abstract data types and specifications algorithms and data structures automata and formal languages computability among others.
Автор: Sommaruga Giovanni, Strahm Thomas Название: Turing`s Revolution: The Impact of His Ideas about Computability ISBN: 3319793802 ISBN-13(EAN): 9783319793801 Издательство: Springer Рейтинг: Цена: 18366 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an overview of the confluence of ideas in Turing`s era and work and examines the impact of his work on mathematical logic and theoretical computer science.
Автор: Paola Bonizzoni; Vasco Brattka; Benedikt L?we Название: The Nature of Computation: Logic, Algorithms, Applications ISBN: 3642390528 ISBN-13(EAN): 9783642390524 Издательство: Springer Рейтинг: Цена: 7652 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book constitutes the refereed proceedings of the 9th Conference on Computability in Europe, CiE 2013, held in Milan, Italy, in July 2013.
Описание: This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability.
Автор: George S. Boolos Название: Computability and logic ISBN: 0521701465 ISBN-13(EAN): 9780521701464 Издательство: Cambridge Academ Рейтинг: Цена: 5318 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, but also a large number of optional topics, from Turing`s theory of computability to Ramsey`s theorem. This fifth edition was first published in 2007.
Автор: Rodney G. Downey; Denis R. Hirschfeldt Название: Algorithmic Randomness and Complexity ISBN: 1493938207 ISBN-13(EAN): 9781493938209 Издательство: Springer Рейтинг: Цена: 15305 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Exploring the theory of computability and complexity over the real numbers, this book provides a systematic, technical development of "algorithmic randomness" and complexity for scientists working in diverse fields concerned with theoretical computer science.
Автор: Mark Braverman; Michael Yampolsky Название: Computability of Julia Sets ISBN: 3642088066 ISBN-13(EAN): 9783642088063 Издательство: Springer Рейтинг: Цена: 14540 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. This accessible book summarizes the present knowledge about the computational properties of Julia sets in a self-contained way.
Автор: Nourani Название: Algebraic Computability and Enumeration Models ISBN: 1771882476 ISBN-13(EAN): 9781771882477 Издательство: Taylor&Francis Рейтинг: Цена: 22022 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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.
Автор: Barry S. Cooper; Sergei S. Goncharov Название: Computability and Models ISBN: 1461352258 ISBN-13(EAN): 9781461352259 Издательство: Springer Рейтинг: Цена: 15305 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: There are also articles concerned with the computability of aspects of familiar mathematical structures, and - a return to the sort of basic underlying questions considered by Alan Turing in the early days of the subject - an article giving a new perspective on computability in the real world.
Автор: Martin Aigner Название: A Course in Enumeration ISBN: 3642072534 ISBN-13(EAN): 9783642072536 Издательство: Springer Рейтинг: Цена: 9942 р. Наличие на складе: Нет в наличии.
Описание:
Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from basic notions of combinatorial enumeration to a variety of topics, ranging from algebra to statistical physics. The book is organized in three parts: Basics, Methods, and Topics. The aim is to introduce readers to a fascinating field, and to offer a sophisticated source of information for professional mathematicians desiring to learn more. There are 666 exercises, and every chapter ends with a highlight section, discussing in detail a particularly beautiful or famous result.
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