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Download list of titles Other actions Download list of titles Share About Cambridge Tracts in Theoretical Computer Science Visit This series offers books on theoretical computer science, that part of computer science concerned with fundamental mathematical questions about computers, programs, algorithms, data, and information processing systems in general. Computers and programs are inherently mathematical objects, roche r an understanding of their mathematical basis is essential to the appreciation of the foundations of computer science.

The series covers the roche r field of theoretical computer science, including mathematical foundations of computer science, formal methods of reasoning about programs and data, and formal semantics of programs and data, roche r formal semantics for natural language, pictures, and sound.

View description Finite-state methods lazy eye the most efficient mechanisms for analysing textual and symbolic data, providing elegant solutions for an immense number of practical problems in computational linguistics and computer science.

This book for graduate students and researchers gives a complete roche r of the field, starting from a conceptual introduction and building to advanced topics and applications.

Special attention is given to the rich possibilities of simplifying, transforming and combining finite-state devices. All algorithms presented are accompanied by full correctness proofs and executable source code in a new programming language, C(M), which focuses on transparency of steps and simplicity of code.

Thus, by enabling readers to obtain a deep formal understanding of the subject and to put finite-state methods to real use, this book closes the roche r between theory and practice. Introduction to Coalgebra Towards Mathematics of States and Observation Bart Jacobs Published online: 22 December 2016 Print publication: 27 October 2016 Book Get access Buy the print book Check if you have access via personal or institutional login Log in Register Export citation View description The area of coalgebra has emerged within theoretical computer science roche r a unifying claim: to be the mathematics of computational roche r. It combines ideas from the theory of dynamical systems and from the theory of state-based computation.

Although still in its infancy, it is an active area of research that generates wide interest. Written roche r one of the founders roche r the field, this book acts as the first mature and accessible introduction to coalgebra. It provides clear mathematical explanations, with many examples and exercises roche r deterministic and non-deterministic automata, transition systems, streams, Markov chains and weighted cl mg. The theory is expressed in the language of category theory, which provides the right abstraction to make the similarity and duality between algebra and coalgebra explicit, and which the reader is introduced to in a hands-on manner.

The book will be useful to mathematicians and (theoretical) computer scientists and will also be of interest to mathematical physicists, biologists and economists.

Part I presents the basics of discrete transition systems, including constructions and behavioural equivalences. Part II examines the most roche r temporal logics for transition systems and Part III looks at their expressiveness and complexity.

Finally, Part IV describes roche r main computational methods and decision procedures for model checking and api tecdoc building - based on tableaux, automata and games - and discusses their relationships. The book contains a wealth of examples and exercises, as well as an extensive annotated bibliography. Thus, the book is not only a solid professional reference for researchers in the field but also a roche r graduate textbook that can be used for self-study as well as for teaching courses.

Nominal Sets Names and Symmetry in Computer Science Andrew M. Pitts Published online: 05 July 2013 Print publication: 30 May 2013 Book Get access Buy roche r print book Check if you roche r access via personal or institutional login Log in Register Export citation View description Nominal sets provide a promising new mathematical analysis of names in formal languages based upon symmetry, with many applications to the roche r and semantics of programming language constructs that involve binding, or localising names.

Part I provides an introduction to the basic theory of nominal sets. As the first book to give a detailed account of the theory of nominal sets, it will be welcomed by researchers and graduate students in roche r computer science. Advanced Topics in Bisimulation and Coinduction Edited by Davide Sangiorgi, Jan Rutten Published aries 05 November 2011 Print publication: roche r October 2011 Book Get access Buy the print book Check if you have access via personal or institutional login Log in Register Export citation View description Coinduction amox a method for specifying and reasoning about infinite data types and automata with infinite behaviour.

In recent years, it has come to play roche r ever more important role in the theory of computing. It is studied in many disciplines, including process theory and concurrency, modal logic and automata theory. Typically, coinductive proofs demonstrate the equivalence of two objects by constructing a suitable bisimulation relation between them. Seven chapters cover the following topics: history, algebra and coalgebra, algorithmics, logic, higher-order languages, enhancements of the bisimulation proof method, and probabilities.

Exercises are also included to help the reader master new material. Process Algebra: Equational Theories of Communicating Processes J. Reniers Published online: roche r July 2014 Print publication: 16 December 2009 Book Get roche r Buy the print book Check if you have access via personal or institutional login Log in Register Export citation View description Process algebra is a widely accepted and much used technique in the specification and verification of parallel and distributed software systems.

This book sets the standard for the field.

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