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Algorithmic Randomness and Complexity (Theory and Applications of Computability)
Algorithmic Randomness and Complexity (Theory and Applications of Computability)

Though we did not know it at the time, this book’s genesis began with the arrival of Cris Calude in New Zealand. Cris has always had an intense interest in algorithmic information theory. The event that led to much of the recent research presented here was the articulation by Cris of a seemingly innocuous question. This question...

Computability Theory: An Introduction to Recursion Theory
Computability Theory: An Introduction to Recursion Theory

The study of the class of computable partial functions (i.e., recursive partial functions) stands at the intersection of three fields: mathematics, theoretical computer science, and philosophy.

Mathematically, computability theory originates from the concept of an algorithm. It leads to a classification of functions according...

Concurrent Programming: Algorithms, Principles, and Foundations
Concurrent Programming: Algorithms, Principles, and Foundations

The advent of new architectures and computing platforms means that synchronization and concurrent computing are among the most important topics in computing science. Concurrent programs are made up of cooperating entities -- processors, processes, agents, peers, sensors -- and synchronization is the set of concepts, rules and mechanisms that...

Theory and Applications of Models of Computation: Third International Conference, TAMC 2006, Beijing, China
Theory and Applications of Models of Computation: Third International Conference, TAMC 2006, Beijing, China

In several practical circumstances we have to solve a problem whose instance is not a priori completely known. Situations of this kind occur in computer systems and networks management, in financial decision making, in robotics etc. Problems that have to be solved without a complete knowledge of the instance are called on-line...

On the Brink of Paradox: Highlights from the Intersection of Philosophy and Mathematics (The MIT Press)
On the Brink of Paradox: Highlights from the Intersection of Philosophy and Mathematics (The MIT Press)
An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory.


This award-winning book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the
...
Language and Automata Theory and Applications: 5th International Conference
Language and Automata Theory and Applications: 5th International Conference
These proceedings contain the papers that were presented at the 5th International Conference on Language and Automata Theory and Applications (LATA 2011), held in Tarragona, Spain, during May 26–31, 2011.

The scope of LATA is rather broad, including: algebraic language theory; algorithms for semi-structured
...
An Introduction to  Formal Languages and Machine Computation
An Introduction to Formal Languages and Machine Computation

This book provides an elementary introduction to formal languages and machine computation. The materials covered include computation-oriented mathematics, finite automata and regular languages, push-down automata and context-free languages, Turing machines and recursively enumerable languages, and computability and complexity. As integers are...

Hypercomputation: Computing Beyond the Church-Turing Barrier (Monographs in Computer Science)
Hypercomputation: Computing Beyond the Church-Turing Barrier (Monographs in Computer Science)
Hypercomputation is a relatively new theory of computation that is about computing methods and devices that transcend the so-called Church-Turing thesis. This book will provide a thorough description of the field of hypercomputation covering all attempts at devising conceptual hypermachines and all new promising computational paradigms that may...
Computability and Complexity: From a Programming Perspective (Foundations of Computing)
Computability and Complexity: From a Programming Perspective (Foundations of Computing)
Computability and complexity theory should be of central concern to practitioners as well as theorists. Unfortunately, however, the field is known for its impenetrability. Neil Jones's goal as an educator and author is to build a bridge between computability and complexity theory and other areas of computer science, especially programming. In a...
From Logic to Logic Programming (Foundations of Computing)
From Logic to Logic Programming (Foundations of Computing)

This mathematically oriented introduction to the theory of logic programming presents a systematic exposition of the resolution method for propositional, first-order, and Horn- clause logics, together with an analysis of the semantic aspects of the method. It is through the inference rule of resolution that both proofs and computations can be...

Theory of Automata, Formal Languages and Computation
Theory of Automata, Formal Languages and Computation

Presents an introduction to the basic models of computability to the undergraduate students. This book deals with Finite Automata and their properties. It provides a class of models and enables the analysis of context-free languages.

This book deals with a fascinating and important subject which has the fundamentals of computer
...
A Concise Introduction to Languages and Machines (Undergraduate Topics in Computer Science)
A Concise Introduction to Languages and Machines (Undergraduate Topics in Computer Science)

This book focuses on key theoretical topics of computing, in particular formal languages and abstract machines. It is intended primarily to support the theoretical modules on a computer science or computing-related undergraduate degree scheme.

Though the book is primarily theoretical in nature, it attempts to avoid the...

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