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.
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.
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.
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.
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.
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.
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.
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.
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.
The theory of algorithmic randomness uses tools from computability theory and algorithmic information theory to address questions such as these. It will be of interest to researchers and students in computability theory algorithmic information theory and theoretical c... Lees meer.
Computability theory originated with the seminal work of G del Church Turing Kleene and Post in the 1930s. This theory includes a wide spectrum of topics such as the theory of reducibilities and their degree structures computably enumerable sets and their automorph... Lees meer.
This book presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint. The reader is first introduced to categories and functorial models with Kleene algebra examples for languages.... Lees meer.