This book presents developments of a language independent theory of program structure. The theory features a simple, natural notion of control structure which is much broader than in other theories of programming languages such as denotational semantics and program schemes. This notion permits treatment of control structures which involve not only the denotation of programs (i.e., their input/output behavior), but also their structure, size, run times, etc. The theory also treats the relation of control structure and complexity properties of programming languages. The book focuses on expressive interdependencies of control structures (which control structures can be expressed by which others). A general method of proving control structures expressively independent is developed. The book also considers characterizations of the expressive power of general purpose programming languages in terms of control structures. Several new characterizations are presented and two compactness results for such characterizations are shown.

This book constitutes the refereed proceedings of the 9th Conference on Computability in Europe, CiE 2013, held in Milan, Italy, in July 2013. The 48 revised papers presented together with 1 invited lecture and 2 tutorials were carefully reviewed and selected with an acceptance rate of under 31,7%. Both the conference series and the association promote the development of computability-related science, ranging over mathematics, computer science and applications in various natural and engineering sciences such as physics and biology, and also including the promotion of related non-scientific fields such as philosophy and history of computing.

This book constitutes the refereed proceedings of the 19th Annual Conference on Learning Theory, COLT 2006, held in Pittsburgh, Pennsylvania, USA in June 2006. The 43 revised full papers presented together with 2 articles on open problems and 3 invited lectures were carefully reviewed and selected from a total of 102 submissions. The papers cover a wide range of topics including clustering, un- and semisupervised learning, statistical learning theory, regularized learning and kernel methods, query learning and teaching, inductive inference, learning algorithms and limitations on learning, online aggregation, online prediction and reinforcement learning.

The aim of this textbook is to present an account of the theory of computation. After introducing the concept of a model of computation and presenting various examples, the author explores the limitations of effective computation via basic recursion theory. Self-reference and other methods are introduced as fundamental and basic tools for constructing and manipulating algorithms. From there the book considers the complexity of computations and the notion of a complexity measure is introduced. Finally, the book culminates in considering time and space measures and in classifying computable functions as being either feasible or not. The author assumes only a basic familiarity with discrete mathematics and computing, making this textbook ideal for a graduate-level introductory course. It is based on many such courses presented by the author and so numerous exercises are included. In addition, the solutions to most of these exercises are provided.

This proceedings volume contains revised and reviewed papers based on talks presented at the first International Workshop on Nonmonotonic and Inductive Logic held in Karlsruhe, December 1990. The workshop was supported by the Volkswagen-Stiftung, Hannover, and provided a forum for researchers from the two fields to communicate and find areas of cooperation. The papersare organized into sections on: - Nonmonotonicity in logic programs - Axiomatic approach to nonmonotonic reasoning - Inductive inference - Autoepistemic logic - Belief updates The bulk of the papers are devoted to nonmonotonic logic and provide an up-to-date view of the current state of research presented by leading experts in the field. A novelty in the contributions from the area of inductive logic is the analysis of nonmonotonicity in the theory of inductive learning.

The papers included in this volume were presented at the Conference on Mathematics of Program Construction held from June 26 to 30, 1989. The conference was organized by the Department of Computing Science, Groningen University, The Netherlands, at the occasion of the University's 375th anniversary. The creative inspiration of the modern computer has led to the development of new mathematics, the mathematics of program construction. Initially concerned with the posterior verification of computer programs, the mathematics have now matured to the point where they are actively being used for the discovery of elegant solutions to new programming problems. Initially concerned specifically with imperative programming, the application of mathematical methodologies is now established as an essential part of all programming paradigms - functional, logic and object-oriented programming, modularity and type structure etc. Initially concerned with software only, the mathematics are also finding fruit in hardware design so that the traditional boundaries between the two disciplines have become blurred. The varieties of mathematics of program construction are wide-ranging. They include calculi for the specification of sequential and concurrent programs, program transformation and analysis methodologies, and formal inference systems for the construction and analysis of programs. The mathematics of specification, implementation and analysis have become indispensable tools for practical programming.

This book constitutes the refereed proceedings of the 17th International Symposium Fundamentals of Computation Theory, FCT 2009, held in Wroclaw, Poland in August 2009. The 29 revised full papers were carefully reviewed and selected from 67 submissions. The papers address all current topics in computation theory such as automata and formal languages, design and analysis of algorithms, computational and structural complexity, semantics, logic, algebra and categories in computer science, circuits and networks, learning theory, specification and verification, parallel and distributed systems, concurrency theory, cryptography and cryptograhic protocols, approximation and randomized algorithms, computational geometry, quantum computation and information, bio-inspired computation.

This volume consists of some of the papers that were delivered during the workshop on "Foundations of Logic and Functional Programming" held in Trento, Italy, from December 15th to 19th, 1986. The meeting centered on themes and trends in Functional Programming and in Logic Programming. This book contains five papers contributed by the invited speakers and five selected contributions.

This book presents contributions from world-renowned logicians, discussing important topics of logic from the point of view of their further development in light of requirements arising from successful application in Computer Science and AI language. Coverage includes: the logic of provability, computability theory applied to biology, psychology, physics, chemistry, economics, and other basic sciences; computability theory and computable models; logic and space-time geometry; hybrid systems; logic and region-based theory of space.

More MRCP Part 1 provides five further mock MRCP type examination papers for quick self-assessment. It contains another collection of multiple choice questions used in the Bloomsbury MRCP Part 1 course and supplements the previously published volume: Johnson/Pozniak, MRCP Part 1. Any candidate preparing for such examinations will find valuable guidelines as to the strengths and weaknesses of his knowledge.