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Computability and Complexity in Analysis
The workshop on Computability and Complexity in Analysis, CCA 2000, was hosted by the Department of Computer Science of the University of Wales Swansea, September 17{19, 2000. It was the fourth workshop in a successful series of workshops: CCA’95 in Hagen, Germany, CCA’96 in Trier, Germany, and CCA’98 in Brno, Czech Republic. About 40 participants from the countries United Kingdom, Germany, Japan, Italy, Russia, France, Denmark, Greece, and Ireland contributed to the success of this meeting. Altogether, 28 talkswere p- sented in Swansea. These proceedings include 23 papers which represent a cro- section through recent research on computability and complexity in analysis. The workshop s...
Computable Analysis
Merging fundamental concepts of analysis and recursion theory to a new exciting theory, this book provides a solid fundament for studying various aspects of computability and complexity in analysis. It is the result of an introductory course given for several years and is written in a style suitable for graduate-level and senior students in computer science and mathematics. Many examples illustrate the new concepts while numerous exercises of varying difficulty extend the material and stimulate readers to work actively on the text.
Automata, Languages and Programming
This volume features the refereed proceedings from the 34th International Colloquium on Automata, Languages and Programming, held in Wroclaw, Poland in July 2007. Seventy-six full papers are presented, together with four invited lectures. The papers are grouped into three major tracks covering algorithms, automata, complexity, and games; logic, semantics, and theory of programming; and security and cryptography foundations.
Algorithmic Randomness
Surveys on recent developments in the theory of algorithmic randomness and its interactions with other areas of mathematics.
Reliable Implementation of Real Number Algorithms: Theory and Practice
This book constitutes the revised papers of the International Seminar on Reliable Implementation of Real Number Algorithms, held at Dagstuhl Castle, Germany, in January 2006. The Seminar was inteded to stimulate an exchange of ideas between the different communities that deal with the problem of reliable implementation of real number algorithms. Topics included formal proofs, software libraries, systems and platforms, as well as computational geometry and solid modelling.
Automata, Languages and Programming
This book constitutes the refereed proceedings of the 29th International Colloquium on Automata, Languages and Programming, ICALP 2002, held in Malaga, Spain, in July 2002.The 83 revised full papers presented together with 7 invited papers were carefully reviewed and selected from a total of 269 submissions. All current aspects of theoretical computer science are addressed and major new results are presented.
Unconventional Models of Computation
Covering recent research into unconventional methods of computing for disciplines in computer science, mathematics, biology, physics and philosophy, the subjects include: nonconventional computational methods, DNA computation, quantum computation, and beyong Turing computability; new methods of discrete computation; theoretical and conceptual new computational paradigms; practical knowledge on new computing technologies.
Models of Computation in Context
This book constitutes the refereed proceedings of the 7th Conference on Computability in Europe, CiE 2011, held in Sofia, Bulgaria, in June/July 2011. The 22 revised papers presented together with 11 invited lectures were carefully reviewed and selected with an acceptance rate of under 40%. The papers cover the topics computability in analysis, algebra, and geometry; classical computability theory; natural computing; relations between the physical world and formal models of computability; theory of transfinite computations; and computational linguistics.
Handbook of Computability and Complexity in Analysis
Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s. This was motivated by questions such as: which real numbers and real number functions are computable, and which mathematical tasks in analysis can be solved by algorithmic means? Nowadays this theory has many different facets that embrace topics from computability theory, algorithmic randomness, computational complexity, dynamical systems, fractals, and analog computers, up to logic, descriptive set theory, constructivism, and reverse mathematics. In recent decades computable analysis has invaded many branches of analysis, and researchers have studied com...
Foundations of Computer Science
Content Description #Dedicated to Wilfried Brauer.#Includes bibliographical references and index.
