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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.
Examining communication networks from a mathematical perspective, this volume offers an introductory overview of broadband, optical, wireless and ad hoc networks. Particular topics of interest are design, optimization, robustness and energy consumption.
This result was already included in our Volume II, but we feel that due to the basic nature of the result, it belongs to this volume. For the sake of the reader of Volume II, where all references to Volume I follow the old numbering, we have included here a table indicating the new number corresponding to each of the old ones.
The History of the Book In August 1992 the author had the opportunity to give a course on resolution theorem proving at the Summer School for Logic, Language, and Information in Essex. It was the purpose of the course mentioned above to present such new developments of resolution theory.
This textbook guides students through algebraic specification and verification of distributed systems, and some of the most prominent formal verification techniques.
A solution would have enormous implications on our society, and there are reasons to believe that the AI problem can be solved in my expected lifetime. The science of artificial intelligence (AI) may be defined as the construction of intelligent systems and their analysis. The goal of AI systems should be to be useful to humans.
An advanced textbook giving a broad, modern view of the computational complexity theory of boolean circuits, with extensive references, for theoretical computer scientists and mathematicians.
In Cooperation with Ralf Klasing
Examining communication networks from a mathematical perspective, this volume offers an introductory overview of broadband, optical, wireless and ad hoc networks. Particular topics of interest are design, optimization, robustness and energy consumption.
Cryptography, secret writing, is enjoying a scientific renaissance following the seminal discovery in 1977 of public-key cryptography and applications in computers and communications.
The book emphasizes the design of full-fledged, fully normalizing lambda calculus machinery, as opposed to the just weakly normalizing machines.
" The vigorous growth in the study of algorithmic information theory has continued during the past few years, which is clearly visible in the present second edition.
This is the first book on DNA computing, a molecular approach that may revolutionize computing-replacing silicon with carbon and microchips with DNA molecules. The book starts with an introduction to DNA computing, exploring the power of complementarity, the basics of biochemistry, and language and computation theory.
Emphasizes the computer science aspects of the subject. Details applications in databases, complexity theory, and formal languages, as well as other branches of computer science.
This book is a state-of-the-art introduction into both algorithmic techniques for fixed-parameter tractability and the structural theory of parameterized complexity classes.
Theory and practice are often thought of as two di?erent worlds, governed bydi?erentideals,principles, andlaws.DavidLorgeParnas, forinstance,who hascontributedmuchtoourtheoreticalunderstandingofsoftwareengineering and also to sound use of theory in the practice of it, likes to point out that 'theoretically' is synonymous to 'not really'.
Systematically teaches key paradigmic algorithm design methodsProvides a deep insight into randomization
The art, craft, discipline, logic, practice, and science of developing large-scale software products needs a believable, professional base.
Finally, the book presents techniques for interpreter and compiler development of functional, imperative, modular and parallel programming languages. This book is targeted at late undergraduate to early graduate university students, and researchers of programming methodologies.
Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particular the theory of computational complexity and database theory.
The final installment in this three-volume set is based on this maxim: "Before software can be designed its requirements must be well understood, and before the requirements can be expressed properly the domain of the application must be well understood."
Extremal Combinatorics provides a concise, up-to-date introduction to extremal combinatorics for nonspecialists. The text emphasizes theorems with particularly elegant and informative proofs, and presents a wide range of combinatorial tools.
Algorithmic design, especially for hard problems, is more essential for success in solving them than any standard improvement of current computer tech nologies.
The book contains a completely new presentation of classical results in the field of Lambda Calculus, together with new results. The text is unique in that it presents a new calculus (Parametric Lambda Calculus) which can be instantiated to obtain already known lambda-calculi.
Temporal logic has developed over the last 30 years into a powerful formal setting for the specification and verification of state-based systems. Based on university lectures given by the authors, this book is a comprehensive, concise, uniform, up-to-date presentation of the theory and applications of linear and branching time temporal logic;
A practical introduction to the development of proofs and certified programs using Coq. An invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.
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