Beste resultaten voor: Computability theory

What can we compute--even with unlimited resources. Is everything within reach. Or are computations necessarily drastically limited not just in practice but theoretically. These questions are at the heart of computability theory. The goal of this book is to give th... Lees meer.

The theoretical underpinnings of computing form a standard part of almost every computer science curriculum. But the classic treatment of this material isolates it from the myriad ways in which the theory influences the design of modern hardware and software systems. Th... Lees meer.

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The ability to reason and think in a logical manner forms the basis of learning for most mathematics computer science philosophy and logic students. Based on the author s teaching notes at the University of Maryland and aimed at a broad audience this text covers the... Lees meer.

This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author... Lees meer.

Reverse mathematics studies the complexity of proving mathematical theorems and solving mathematical problems. Reverse mathematics studies the complexity of proving mathematical theorems and solving mathematical problems. Typical questions include. Can we prove this... Lees meer.

The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical computer science. This volume provides a picture of current ideas and methods in the ongoing investigations into the pure mathematical fo... Lees meer.

This volume presents some exciting new developments occurring on the interface between set theory and computability as well as their applications in algebra analysis and topology. These include effective versions of Borel equivalence Borel reducibility and Borel deter... Lees meer.

This book offers a self-contained exposition of the theory of computability in a higher-order context where computable operations may themselves be passed as arguments to other computable operations. This book offers a self-contained exposition of the theory of com... Lees meer.

This book surveys theoretical computer science presenting fundamental concepts and results. Updated and revised the new edition includes two new chapters on nonuniform complexity circuit complexity and parallel complexity and randomized complexity. This revised... Lees meer.

This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author... Lees meer.

This book questions the relevance of computation to the physical universe. This book questions the relevance of computation to the physical universe. Our theories deliver computational descriptions but the gaps and discontinuities in our grasp suggest a need for cont... Lees meer.

This book surveys theoretical computer science presenting fundamental concepts and results. Updated and revised the new edition includes two new chapters on nonuniform complexity circuit complexity and parallel complexity and randomized complexity. This revised... Lees meer.

It is not always clear what computer programs mean in the various languages in which they can be written yet a picture can be worth 1000 words a diagram 1000 instructions. In this unique textbook reference programs are drawn as string diagrams in the language of cate... Lees meer.

Other topics include the descriptional complexity and inductive inference of certain types of restarting automata cooperating distributed and parallel communicating systems of restarting automata restarting automata with output weighted restarting automata and resta... Lees meer.