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.

Reprint of the 1967 edition... Lees meer.

This book constitutes the proceedings of the 5th Conference on Computability in Europe CiE 2009 held in Heidelberg Germany during July 19-24 2009. The 34 papers presented together with 17 invited lectures were carefully reviewed and selected from 100 submissions. T... Lees meer.

Computability Theory. An Introduction to Recursion Theory provides a concise comprehensive and authoritative introduction to contemporary computability theory techniques and results. The basic concepts and techniques of computability theory are placed in their hist... Lees meer.

This volume features the latest scientific developments in the fields of computability theory and logical foundations of mathematics as well as applications. The scope involves the topics of Computability Theory Reverse Mathematics Nonstandard Analysis Proof Theory... 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.

What can computers do in principle. What are their inherent theoretical limitations. The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function - a function whose values can... 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.

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 fi... Lees meer.

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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.

Turing s famous 1936 paper introduced a formal definition of a computing machine a Turing machine. This book presents classical computability theory from Turing and Post to current results and methods and their use in studying the information content of algebraic stru... Lees meer.

If we grant the legitimacy of the suggested precise replacements of the concept of algorithm and related concepts then we can say that the mathematicians have shown by strictly mathematical methods that there exist mathematical problems which cannot be dealt with by th... Lees meer.

Features papers that represent the works of experts in the field who were invited speakers at the AMS-IMS-SIAM Joint Summer Conference on Computability Theory and Applications held at the University of Colorado Boulder . The conference focused on open problems in compu... Lees meer.

Offers an introduction to contemporary computability theory techniques and results. This book places the basic concepts and techniques of computability theory in their historical philosophical and logical context. It includes a chapter that explores a variety of comp... Lees meer.