Introduction to Bisimulation and Coinduction

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Publisher : Cambridge University Press
ISBN 13 : 1139502832
Total Pages : 261 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Introduction to Bisimulation and Coinduction by : Davide Sangiorgi

Download or read book Introduction to Bisimulation and Coinduction written by Davide Sangiorgi and published by Cambridge University Press. This book was released on 2011-10-13 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Induction is a pervasive tool in computer science and mathematics for defining objects and reasoning on them. Coinduction is the dual of induction and as such it brings in quite different tools. Today, it is widely used in computer science, but also in other fields, including artificial intelligence, cognitive science, mathematics, modal logics, philosophy and physics. The best known instance of coinduction is bisimulation, mainly employed to define and prove equalities among potentially infinite objects: processes, streams, non-well-founded sets, etc. This book presents bisimulation and coinduction: the fundamental concepts and techniques and the duality with induction. Each chapter contains exercises and selected solutions, enabling students to connect theory with practice. A special emphasis is placed on bisimulation as a behavioural equivalence for processes. Thus the book serves as an introduction to models for expressing processes (such as process calculi) and to the associated techniques of operational and algebraic analysis.

Advanced Topics in Bisimulation and Coinduction

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Publisher : Cambridge University Press
ISBN 13 : 1139502905
Total Pages : 341 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Advanced Topics in Bisimulation and Coinduction by : Davide Sangiorgi

Download or read book Advanced Topics in Bisimulation and Coinduction written by Davide Sangiorgi and published by Cambridge University Press. This book was released on 2011-10-13 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coinduction is a method for specifying and reasoning about infinite data types and automata with infinite behaviour. In recent years, it has come to play an 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. This collection of surveys is aimed at both researchers and Master's students in computer science and mathematics and deals with various aspects of bisimulation and coinduction, with an emphasis on process theory. 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.

An Introduction to Bisimulation and Coinduction

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Author :
Publisher :
ISBN 13 : 9781139161381
Total Pages : 261 pages
Book Rating : 4.1/5 (613 download)

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Book Synopsis An Introduction to Bisimulation and Coinduction by : Davide Sangiorgi

Download or read book An Introduction to Bisimulation and Coinduction written by Davide Sangiorgi and published by . This book was released on 2014-05-14 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Induction is a pervasive tool in computer science and mathematics for defining objects and reasoning on them. Coinduction is the dual of induction and as such it brings in quite different tools. Today, it is widely used in computer science, but also in other fields, including artificial intelligence, cognitive science, mathematics, modal logics, philosophy and physics. The best known instance of coinduction is bisimulation, mainly employed to define and prove equalities among potentially infinite objects: processes, streams, non-well-founded sets, etc. This book presents bisimulation and coinduction: the fundamental concepts and techniques and the duality with induction. Each chapter contains exercises and selected solutions, enabling students to connect theory with practice. A special emphasis is placed on bisimulation as a behavioural equivalence for processes. Thus the book serves as an introduction to models for expressing processes (such as process calculi) and to the associated techniques of operational and algebraic analysis"--Provided by publisher.

Introduction to Coalgebra

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Publisher : Cambridge University Press
ISBN 13 : 1107177898
Total Pages : 495 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Introduction to Coalgebra by : Bart Jacobs

Download or read book Introduction to Coalgebra written by Bart Jacobs and published by Cambridge University Press. This book was released on 2017 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to coalgebra, with clear mathematical explanations and numerous examples and exercises.

Certified Programming with Dependent Types

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Publisher : MIT Press
ISBN 13 : 0262545748
Total Pages : 437 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Certified Programming with Dependent Types by : Adam Chlipala

Download or read book Certified Programming with Dependent Types written by Adam Chlipala and published by MIT Press. This book was released on 2022-06-07 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus. The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time. Two topics, rarely discussed elsewhere, are covered in detail: effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.

Labelled Markov Processes

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Author :
Publisher : Imperial College Press
ISBN 13 : 1848162898
Total Pages : 212 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Labelled Markov Processes by : Prakash Panangaden

Download or read book Labelled Markov Processes written by Prakash Panangaden and published by Imperial College Press. This book was released on 2009 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Labelled Markov processes are probabilistic versions of labelled transition systems with continuous state spaces. The book covers basic probability and measure theory on continuous state spaces and then develops the theory of LMPs.

The Principles of Computer Networking

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Publisher : Cambridge University Press
ISBN 13 : 9780521339926
Total Pages : 534 pages
Book Rating : 4.3/5 (399 download)

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Book Synopsis The Principles of Computer Networking by : D. Russell

Download or read book The Principles of Computer Networking written by D. Russell and published by Cambridge University Press. This book was released on 1989-11-16 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1989 book provides an introduction to the immensely important area of computer networking.

The Pi-Calculus

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Publisher : Cambridge University Press
ISBN 13 : 9780521543279
Total Pages : 600 pages
Book Rating : 4.5/5 (432 download)

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Book Synopsis The Pi-Calculus by : Davide Sangiorgi

Download or read book The Pi-Calculus written by Davide Sangiorgi and published by Cambridge University Press. This book was released on 2003-10-16 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate text on the p-calculus, a mathematical model of mobile computing systems.

Types and Programming Languages

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Publisher : MIT Press
ISBN 13 : 0262303825
Total Pages : 646 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Types and Programming Languages by : Benjamin C. Pierce

Download or read book Types and Programming Languages written by Benjamin C. Pierce and published by MIT Press. This book was released on 2002-01-04 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to type systems and programming languages. A type system is a syntactic method for automatically checking the absence of certain erroneous behaviors by classifying program phrases according to the kinds of values they compute. The study of type systems—and of programming languages from a type-theoretic perspective—has important applications in software engineering, language design, high-performance compilers, and security. This text provides a comprehensive introduction both to type systems in computer science and to the basic theory of programming languages. The approach is pragmatic and operational; each new concept is motivated by programming examples and the more theoretical sections are driven by the needs of implementations. Each chapter is accompanied by numerous exercises and solutions, as well as a running implementation, available via the Web. Dependencies between chapters are explicitly identified, allowing readers to choose a variety of paths through the material. The core topics include the untyped lambda-calculus, simple type systems, type reconstruction, universal and existential polymorphism, subtyping, bounded quantification, recursive types, kinds, and type operators. Extended case studies develop a variety of approaches to modeling the features of object-oriented languages.

Foundations of Software Science and Computation Structures

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Publisher : Springer
ISBN 13 : 9783030171261
Total Pages : 0 pages
Book Rating : 4.1/5 (712 download)

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Book Synopsis Foundations of Software Science and Computation Structures by : Mikołaj Bojańczyk

Download or read book Foundations of Software Science and Computation Structures written by Mikołaj Bojańczyk and published by Springer. This book was released on 2019-04-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book constitutes the proceedings of the 22nd International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2019, which took place in Prague, Czech Republic, in April 2019, held as part of the European Joint Conference on Theory and Practice of Software, ETAPS 2019.The 29 papers presented in this volume were carefully reviewed and selected from 85 submissions. They deal with foundational research with a clear significance for software science.

Tools and Algorithms for the Construction and Analysis of Systems

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Publisher : Springer
ISBN 13 : 303017462X
Total Pages : 433 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Tools and Algorithms for the Construction and Analysis of Systems by : Tomáš Vojnar

Download or read book Tools and Algorithms for the Construction and Analysis of Systems written by Tomáš Vojnar and published by Springer. This book was released on 2019-04-03 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is Open Access under a CC BY licence. The LNCS 11427 and 11428 proceedings set constitutes the proceedings of the 25th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2019, which took place in Prague, Czech Republic, in April 2019, held as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2019. The total of 42 full and 8 short tool demo papers presented in these volumes was carefully reviewed and selected from 164 submissions. The papers are organized in topical sections as follows: Part I: SAT and SMT, SAT solving and theorem proving; verification and analysis; model checking; tool demo; and machine learning. Part II: concurrent and distributed systems; monitoring and runtime verification; hybrid and stochastic systems; synthesis; symbolic verification; and safety and fault-tolerant systems.

Tools and Algorithms for the Construction and Analysis of Systems

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Publisher : Springer Nature
ISBN 13 : 3030452379
Total Pages : 425 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Tools and Algorithms for the Construction and Analysis of Systems by : Armin Biere

Download or read book Tools and Algorithms for the Construction and Analysis of Systems written by Armin Biere and published by Springer Nature. This book was released on 2020-04-17 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access two-volume set constitutes the proceedings of the 26th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2020, which took place in Dublin, Ireland, in April 2020, and was held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2020. The total of 60 regular papers presented in these volumes was carefully reviewed and selected from 155 submissions. The papers are organized in topical sections as follows: Part I: Program verification; SAT and SMT; Timed and Dynamical Systems; Verifying Concurrent Systems; Probabilistic Systems; Model Checking and Reachability; and Timed and Probabilistic Systems. Part II: Bisimulation; Verification and Efficiency; Logic and Proof; Tools and Case Studies; Games and Automata; and SV-COMP 2020.

The Theory and Practice of Concurrency

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Publisher : Prentice Hall PTR
ISBN 13 :
Total Pages : 596 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Theory and Practice of Concurrency by : A. W. Roscoe

Download or read book The Theory and Practice of Concurrency written by A. W. Roscoe and published by Prentice Hall PTR. This book was released on 1998 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Professor Hoare's book Communicating Sequential Processes was first published, his notation has been extensively used for teaching and applying concurrency theory. The most significant development since then has been the emergence of tools to support the teaching and industrial application of CSP. This has turned CSP from a notation used mainly for toy examples into one which can and does support the description of industrial-sized problems. In order to understand the tools you need a good grasp of the fundamental concepts of CSP, therefore the book is, in the first instance, a text on the principles of the language rather than being a manual on how to apply its tools. The Theory and Practice of Concurrency is divided into 3 sections. Part I is a foundation course on CSP, covering essentially the same material as the Hoare book, except that most of the mathematical theory has been omitted. It introduces the ideas behind the operational, denotational and algebraic models of CSP. Parts II and III go into more detail about the theory and practice of CSP. Either of them would make a one semester course or though they are independent of each other. This book assumes no mathematical knowledge except for a basic understanding of sets, sequences and functions. Part I and III use no sophisticated mathematics, and the extra amount needed for Part II is contained within Appendix A (which introduces the theory of partial order and metric/restriction spaces). The book brings substantial new insights into the important subjects of computer security, fault tolerance, real-time modelling, communications protocols and distributed databases. Each of these is supported by a case study and guidance on how to apply automated analysis to verify systems.

CafeOBJ Report

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Publisher : World Scientific
ISBN 13 : 9789810235130
Total Pages : 204 pages
Book Rating : 4.2/5 (351 download)

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Book Synopsis CafeOBJ Report by : Razvan Diaconescu

Download or read book CafeOBJ Report written by Razvan Diaconescu and published by World Scientific. This book was released on 1998 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a report on the formal definition of the CafeOBJ algebraic specification language, which is a modern successor to the famous algebraic language OBJ. While the equational core of CafeOBJ is just a reshaping of OBJ, CafeOBJ significantly extends OBJ by incorporating several recent major developments in the area of algebraic specification, such as behavioural specification and rewriting logic. The definition of the language parallels its logical semantics based on the so-called institutions, which also provide a methodological framework for structuring the presentation of the basic constructs of the language and their semantics. This report presents all the basic constructs of the language together with their semantics and addresses both the programming in-the-small and in-the-large levels. However, it also discusses proof systems and technologies, as well as methodologies. Examples are provided throughout the report as intuitive support for the definitions of the constructs and for illustrating proof techniques and methodologies.

Temporal Logics in Computer Science

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Publisher : Cambridge University Press
ISBN 13 : 1107028361
Total Pages : 753 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Temporal Logics in Computer Science by : Stéphane Demri

Download or read book Temporal Logics in Computer Science written by Stéphane Demri and published by Cambridge University Press. This book was released on 2016-10-13 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, modern and technically precise exposition of the theory and main applications of temporal logics in computer science.

Algebraic Approaches to Program Semantics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461249627
Total Pages : 358 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Algebraic Approaches to Program Semantics by : Ernest G. Manes

Download or read book Algebraic Approaches to Program Semantics written by Ernest G. Manes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1930s, mathematical logicians studied the notion of "effective comput ability" using such notions as recursive functions, A-calculus, and Turing machines. The 1940s saw the construction of the first electronic computers, and the next 20 years saw the evolution of higher-level programming languages in which programs could be written in a convenient fashion independent (thanks to compilers and interpreters) of the architecture of any specific machine. The development of such languages led in turn to the general analysis of questions of syntax, structuring strings of symbols which could count as legal programs, and semantics, determining the "meaning" of a program, for example, as the function it computes in transforming input data to output results. An important approach to semantics, pioneered by Floyd, Hoare, and Wirth, is called assertion semantics: given a specification of which assertions (preconditions) on input data should guarantee that the results satisfy desired assertions (postconditions) on output data, one seeks a logical proof that the program satisfies its specification. An alternative approach, pioneered by Scott and Strachey, is called denotational semantics: it offers algebraic techniques for characterizing the denotation of (i. e. , the function computed by) a program-the properties of the program can then be checked by direct comparison of the denotation with the specification. This book is an introduction to denotational semantics. More specifically, we introduce the reader to two approaches to denotational semantics: the order semantics of Scott and Strachey and our own partially additive semantics.

Isabelle

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540582441
Total Pages : 348 pages
Book Rating : 4.5/5 (824 download)

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Book Synopsis Isabelle by : Lawrence C. Paulson

Download or read book Isabelle written by Lawrence C. Paulson and published by Springer Science & Business Media. This book was released on 1994-07-28 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the First International Static Analysis Symposium (SAS '94), held in Namur, Belgium in September 1994. The proceedings comprise 25 full refereed papers selected from 70 submissions as well as four invited contributions by Charles Consel, Saumya K. Debray, Thomas W. Getzinger, and Nicolas Halbwachs. The papers address static analysis aspects for various programming paradigms and cover the following topics: generic algorithms for fixpoint computations; program optimization, transformation and verification; strictness-related analyses; type-based analyses and type inference; dependency analyses and abstract domain construction.