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 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 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.... 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.
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.
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.
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.
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.... Lees meer.
Intended for use in an introductory graduate course in theoretical computer science this text contains material that should be core knowledge in the theory of computation for all graduates in computer science. It is self-contained and is best suited for a one semester... 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.... Lees meer.
This revised and extensively expanded edition of Computability and Complexity Theory comprises essential materials that are core knowledge in the theory of computation. The book is self-contained with a preliminary chapter describing key mathematical concepts and notat... 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.
The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated with them. Since the interest in some topics is older than that in others some presentations contain fundamental definitio... Lees meer.