Advanced Topics In Bisimulation And Coinduction

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Advanced Topics In Bisimulation And Coinduction
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Author : Davide Sangiorgi
language : en
Publisher: Cambridge University Press
Release Date : 2011-10-13
Advanced Topics In Bisimulation And Coinduction written by Davide Sangiorgi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-13 with Computers categories.
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.
Advanced Topics In Bisimulation And Coinduction
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Author : Davide Sangiorgi
language : en
Publisher:
Release Date : 2014-05-14
Advanced Topics In Bisimulation And Coinduction written by Davide Sangiorgi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with COMPUTERS categories.
"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"--
Advanced Topics In Bisimulation And Coinduction
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Author : Davide Sangiorgi
language : en
Publisher:
Release Date : 2012
Advanced Topics In Bisimulation And Coinduction written by Davide Sangiorgi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Bisimulation categories.
"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"--
Introduction To Bisimulation And Coinduction
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Author : Davide Sangiorgi
language : en
Publisher: Cambridge University Press
Release Date : 2011-10-13
Introduction To Bisimulation And Coinduction written by Davide Sangiorgi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-13 with Computers categories.
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.
Advances In Proof Theory
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Author : Reinhard Kahle
language : en
Publisher: Birkhäuser
Release Date : 2016-05-04
Advances In Proof Theory written by Reinhard Kahle and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-04 with Mathematics categories.
The aim of this volume is to collect original contributions by the best specialists from the area of proof theory, constructivity, and computation and discuss recent trends and results in these areas. Some emphasis will be put on ordinal analysis, reductive proof theory, explicit mathematics and type-theoretic formalisms, and abstract computations. The volume is dedicated to the 60th birthday of Professor Gerhard Jäger, who has been instrumental in shaping and promoting logic in Switzerland for the last 25 years. It comprises contributions from the symposium “Advances in Proof Theory”, which was held in Bern in December 2013. Proof theory came into being in the twenties of the last century, when it was inaugurated by David Hilbert in order to secure the foundations of mathematics. It was substantially influenced by Gödel's famous incompleteness theorems of 1930 and Gentzen's new consistency proof for the axiom system of first order number theory in 1936. Today, proof theory is a well-established branch of mathematical and philosophical logic and one of the pillars of the foundations of mathematics. Proof theory explores constructive and computational aspects of mathematical reasoning; it is particularly suitable for dealing with various questions in computer science.
Theoretical Aspects Of Computing Ictac 2015
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Author : Martin Leucker
language : en
Publisher: Springer
Release Date : 2015-10-08
Theoretical Aspects Of Computing Ictac 2015 written by Martin Leucker and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-08 with Computers categories.
This book constitutes the refereed proceedings of the 12th International Colloquium on Theoretical Aspects of Computing, ICTAC 2015, held in Cali, Colombia, in October 2015. The 25 revised full papers presented together with 7 invited talks, 3 tool papers, and 2 short papers were carefully reviewed and selected from 93 submissions. The papers cover various topics such as algebra and category theory; automata and formal languages; concurrency; constraints, logic and semantic; software architecture and component-based design; and verification.
Leveraging Applications Of Formal Methods Verification And Validation Reocas Colloquium In Honor Of Rocco De Nicola
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Author : Tiziana Margaria
language : en
Publisher: Springer Nature
Release Date : 2024-10-08
Leveraging Applications Of Formal Methods Verification And Validation Reocas Colloquium In Honor Of Rocco De Nicola written by Tiziana Margaria and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-08 with Computers categories.
The ISoLA 2024 proceedings constitutes contributions of the associated events held at the 12th International Symposium on Leveraging Applications of Formal Methods, ISoLA 2024, which took place in Crete, Greece, in October 2024. ISoLA 2024 provides a forum for developers, users, and researchers to discuss issues related to the adoption and use of rigorous tools and methods for the specification, analysis, verification, certification, construction, test, and maintenance of systems from the point of view of their different application domains. This volume, Part I, contains the proceedings of the Colloquium in honor of Rocco De Nicola’s 70th birthday, held jointly with the ISOLA 2024’s track on REoCAS (Rigorous Engineering of Collective Adaptive Systems). Rocco De Nicola has significantly contributed to collective adaptive systems through novel approaches for their formal specification, analysis, and verification. The Colloquium features one homage paper and 23 contributions from invited authors who reflected upon these developments within the context of Rocco’s much broader legacy in concurrency theory, distributed systems, domain-specific languages, service-oriented computing, and formal methods, exploring his recent contributions to cybersecurity.
Fundamentals Of Software Engineering
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Author : Mehdi Dastani
language : en
Publisher: Springer
Release Date : 2017-10-10
Fundamentals Of Software Engineering written by Mehdi Dastani and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-10 with Computers categories.
This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Fundamentals of Software Engineering, FSEN 2017, held in Tehran, Iran, in April 2017. The 16 full papers presented in this volume were carefully reviewed and selected from 49 submissions. The topics of interest in FSEN span over all aspects of formal methods, especially those related to advancing the application of formal methods in software industry and promoting their integration with practical engineering techniques.
Foundations Of Software Science And Computation Structures
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Author : Andrew Pitts
language : en
Publisher: Springer
Release Date : 2015-03-31
Foundations Of Software Science And Computation Structures written by Andrew Pitts and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-31 with Computers categories.
This book constitutes the proceedings of the 18th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2015, held in London, UK, in April 2015, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2015. The 28 full papers presented in this volume were carefully reviewed and selected from 93 submissions. They are organized in topical sections named: semantics of programming languages; categorical models and logics; concurrent, probabilistic and timed systems; automata, games, verification; logical aspects of computational complexity; and type theory, proof theory and implicit computational complexity. The book also contains one full paper invited talk.
Software Technology Methods And Tools
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Author : Manuel Mazzara
language : en
Publisher: Springer Nature
Release Date : 2019-10-08
Software Technology Methods And Tools written by Manuel Mazzara and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-08 with Computers categories.
This book constitutes the refereed proceedings of the 51st International Conference on Software Technology: Methods and Tools, TOOLS 2019, held in Innopolis, Russia, in October 2019.The 19 revised full papers and 13 short papers presented in this book were carefully reviewed and selected from 62 submissions. The papers discuss all aspects of software engineering and programming languages; machine learning; internet of things; security computer architectures and robotics; and projects.