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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.

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 th... 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.

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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.

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.

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 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 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 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 dete... 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.

A Concise Introduction to Computation Models and Computability Theory provides an introduction to the essential concepts in computability using several models of computation from the standard Turing Machines and Recursive Functions to the modern computation models in... Lees meer.

The natural measure of difficulty of a function is the amount of time needed to compute it as a function of the length of the input . In recursion theory by contrast a function is considered to be easy to compute if there exists some algorithm that computes it. On... Lees meer.

This book describes computability theory and provides an extensive treatment of data structures and program correctness. It makes accessible some of the author s work on generalized recursion theory particularly the material on the logic programming language PROLOG. It... Lees meer.