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Author: Yong Wang
Publisher: Elsevier
ISBN: 0443189137
Category : Mathematics
Languages : en
Pages : 230
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Book Description
Algebraic Theory for True Concurrency presents readers with the algebraic laws for true concurrency. Parallelism and concurrency are two of the core concepts within computer science. This book covers the different realms of concurrency, which enables programs, algorithms or problems to be broken out into order-independent or partially ordered components to improve computation and execution speed. There are two primary approaches for executing concurrency: interleaving concurrency and true concurrency. The main representative of interleaving concurrency is bisimulation/rooted branching bisimulation equivalences which is also readily explored. This work eventually founded the comprehensive axiomatization modulo bisimulation equivalence -- ACP (Algebra of Communicating Processes).The other approach to concurrency is true concurrency. Research on true concurrency is active and includes many emerging applications. First, there are several truly concurrent bisimulation equivalences, including: pomset bisimulation equivalence, step bisimulation equivalence, history-preserving (hp-) bisimulation equivalence, and hereditary history-preserving (hhp-) bisimulation equivalence, the most well-known truly concurrent bisimulation equivalence. - Introduces algebraic properties and laws for true concurrency, one of the foundational concepts of computer science - Presents all aspects of algebraic true concurrency, including the basis of semantics, calculi for true concurrency and for axiomatization - Integrates all aspects of algebraic theory for true concurrency, along with extensions and applications
Author: Yong Wang
Publisher: Elsevier
ISBN: 0443189137
Category : Mathematics
Languages : en
Pages : 230
Get Book Here
Book Description
Algebraic Theory for True Concurrency presents readers with the algebraic laws for true concurrency. Parallelism and concurrency are two of the core concepts within computer science. This book covers the different realms of concurrency, which enables programs, algorithms or problems to be broken out into order-independent or partially ordered components to improve computation and execution speed. There are two primary approaches for executing concurrency: interleaving concurrency and true concurrency. The main representative of interleaving concurrency is bisimulation/rooted branching bisimulation equivalences which is also readily explored. This work eventually founded the comprehensive axiomatization modulo bisimulation equivalence -- ACP (Algebra of Communicating Processes).The other approach to concurrency is true concurrency. Research on true concurrency is active and includes many emerging applications. First, there are several truly concurrent bisimulation equivalences, including: pomset bisimulation equivalence, step bisimulation equivalence, history-preserving (hp-) bisimulation equivalence, and hereditary history-preserving (hhp-) bisimulation equivalence, the most well-known truly concurrent bisimulation equivalence. - Introduces algebraic properties and laws for true concurrency, one of the foundational concepts of computer science - Presents all aspects of algebraic true concurrency, including the basis of semantics, calculi for true concurrency and for axiomatization - Integrates all aspects of algebraic theory for true concurrency, along with extensions and applications
Author: Yong Wang
Publisher: Elsevier
ISBN: 0443215162
Category : Computers
Languages : en
Pages : 648
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Book Description
Handbook of Truly Concurrent Process Algebra provides readers with a detailed and in-depth explanation of the algebra used for concurrent computing. This complete handbook is divided into five Parts: Algebraic Theory for Reversible Computing, Probabilistic Process Algebra for True Concurrency, Actors – A Process Algebra-Based Approach, Secure Process Algebra, and Verification of Patterns. The author demonstrates actor models which are captured using the following characteristics: Concurrency, Asynchrony, Uniqueness, Concentration, Communication Dependency, Abstraction, and Persistence. Truly concurrent process algebras are generalizations of the corresponding traditional process algebras. Handbook of Truly Concurrent Process Algebra introduces several advanced extensions and applications of truly concurrent process algebras. Part 1: Algebraic Theory for Reversible Computing provides readers with all aspects of algebraic theory for reversible computing, including the basis of semantics, calculi for reversible computing, and axiomatization for reversible computing. Part 2: Probabilistic Process Algebra for True Concurrency provides readers with all aspects of probabilistic process algebra for true concurrency, including the basis of semantics, calculi for probabilistic computing, axiomatization for probabilistic computing, as well as mobile calculi for probabilistic computing. Part 3: Actors - A Process Algebra-Based Approach bridges the two concurrent models, process algebra and actors, by capturing the actor model in the following characteristics: Concurrency, Asynchrony, Uniqueness, Concentration, Communication Dependency, Abstraction, and Persistence. Part 4: Secure Process Algebra demonstrates the advantages of process algebra in verifying security protocols – it has a firmly theoretic foundation and rich expressive powers to describe security protocols. Part 5: Verification of Patterns formalizes software patterns according to the categories of the patterns and verifies the correctness of patterns based on truly concurrent process algebra. Every pattern is detailed according to a regular format to be understood and utilized easily, which includes introduction to a pattern and its verifications. Patterns of the vertical domains are also provided, including the domains of networked objects and resource management. To help readers develop and implement the software patterns scientifically, the pattern languages are also presented. - Presents all aspects of full algebraic reversible computing, including the basis of semantics, calculi for full reversible computing, and axiomatization for full reversible computing - Introduces algebraic properties and laws for probabilistic computing, one of the foundational concepts of Computer Science - Presents the calculi for probabilistic computing, including the basis of semantics and calculi for reversible computing
Author: Yong Wang
Publisher: Elsevier
ISBN: 0443330697
Category : Computers
Languages : en
Pages : 476
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Book Description
Truly Concurrent Process Algebra with Localities introduces localities into truly concurrent process algebras. The book explores all aspects of localities in truly concurrent process algebras, such as Calculus for True Concurrency (CTC), which is a generalization of CCS for true concurrency, Algebra of Parallelism for True Concurrency (APTC), which is a generalization of ACP for true concurrency, and ? Calculus for True Concurrency (?). Together, these approaches capture the so-called true concurrency based on truly concurrent bisimilarities, such as pomset bisimilarity, step bisimilarity, history-preserving (hp-) bisimilarity and hereditary history-preserving (hhp-) bisimilarity.This book provides readers with all aspects of algebraic theory for localities, including the basis of semantics, calculi for static localities, axiomatization for static localities, as well as calculi for dynamic localities and axiomatization for dynamic localities. - Introduces algebraic properties and laws for localities, one of the important concepts of software engineering for concurrent computing systems - Discusses algebraic theory for static localities and dynamic localities, including the basis of semantics, calculi, and axiomatization - Presents all aspects of localities in truly concurrent process algebras, including Calculus for True Concurrency (CTC), Algebra of Parallelism for True Concurrency (APTC), and Process Calculus for True Concurrency (?)
Author: Lisbeth Fajstrup
Publisher: Springer
ISBN: 3319153986
Category : Computers
Languages : en
Pages : 171
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Book Description
This monograph presents an application of concepts and methods from algebraic topology to models of concurrent processes in computer science and their analysis. Taking well-known discrete models for concurrent processes in resource management as a point of departure, the book goes on to refine combinatorial and topological models. In the process, it develops tools and invariants for the new discipline directed algebraic topology, which is driven by fundamental research interests as well as by applications, primarily in the static analysis of concurrent programs. The state space of a concurrent program is described as a higher-dimensional space, the topology of which encodes the essential properties of the system. In order to analyse all possible executions in the state space, more than “just” the topological properties have to be considered: Execution paths need to respect a partial order given by the time flow. As a result, tools and concepts from topology have to be extended to take privileged directions into account. The target audience for this book consists of graduate students, researchers and practitioners in the field, mathematicians and computer scientists alike.
Author: David H. Pitt
Publisher: Springer Science & Business Media
ISBN: 9783540544951
Category : Mathematics
Languages : en
Pages : 314
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Book Description
The papers in this volume were presented at the fourth biennial Summer Conference on Category Theory and Computer Science, held in Paris, September3-6, 1991. Category theory continues to be an important tool in foundationalstudies in computer science. It has been widely applied by logicians to get concise interpretations of many logical concepts. Links between logic and computer science have been developed now for over twenty years, notably via the Curry-Howard isomorphism which identifies programs with proofs and types with propositions. The triangle category theory - logic - programming presents a rich world of interconnections. Topics covered in this volume include the following. Type theory: stratification of types and propositions can be discussed in a categorical setting. Domain theory: synthetic domain theory develops domain theory internally in the constructive universe of the effective topos. Linear logic: the reconstruction of logic based on propositions as resources leads to alternatives to traditional syntaxes. The proceedings of the previous three category theory conferences appear as Lecture Notes in Computer Science Volumes 240, 283 and 389.
Author: Hans-Jörg Kreowski
Publisher: Springer
ISBN: 354031847X
Category : Mathematics
Languages : en
Pages : 434
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Book Description
By presenting state-of-the-art research results on various aspects of formal and visual modeling of software and systems, this book commemorates the 60th birthday of Hartmut Ehrig. The 24 invited reviewed papers are written by students and collaborators of Hartmut Ehrig who are established researchers in their fields. Reflecting the scientific interest and work of Hartmut Ehrig, the papers fall into three main parts on graph transformation, algebraic specification and logic, and formal and visual modeling.
Author: Jan Friso Groote
Publisher: MIT Press
ISBN: 0262547872
Category : Computers
Languages : en
Pages : 393
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Book Description
Rigorous theory and real-world applications for modeling and analysis of the behavior of complex communicating computer systems. Complex communicating computer systems—computers connected by data networks and in constant communication with their environments—do not always behave as expected. This book introduces behavioral modeling, a rigorous approach to behavioral specification and verification of concurrent and distributed systems. It is among the very few techniques capable of modeling systems interaction at a level of abstraction sufficient for the interaction to be understood and analyzed. Offering both a mathematically grounded theory and real-world applications, the book is suitable for classroom use and as a reference for system architects. The book covers the foundation of behavioral modeling using process algebra, transition systems, abstract data types, and modal logics. Exercises and examples augment the theoretical discussion. The book introduces a modeling language, mCRL2, that enables concise descriptions of even the most intricate distributed algorithms and protocols. Using behavioral axioms and such proof methods as confluence, cones, and foci, readers will learn how to prove such algorithms equal to their specifications. Specifications in mCRL2 can be simulated, visualized, or verified against their requirements. An extensive mCRL2 toolset for mechanically verifying the requirements is freely available online; this toolset has been successfully used to design and analyze industrial software that ranges from healthcare applications to particle accelerators at CERN. Appendixes offer material on equations and notation as well as exercise solutions.
Author: Luca Aceto
Publisher: Springer Science & Business Media
ISBN: 3540330453
Category : Computers
Languages : en
Pages : 459
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Book Description
This book constitutes the refereed proceedings of the 9th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2006, held in Vienna, Austria in March 2006 as part of ETAPS. The 28 revised full papers presented together with 1 invited paper were carefully reviewed and selected from 107 submissions. The papers are organized in topical sections on mobile processes, software science, distributed computation, categorical models, real time and hybrid systems, process calculi, automata and logic, domains, lambda calculus, types, and security.
Author: Hélène Kirchner
Publisher: Springer Science & Business Media
ISBN: 9783540558736
Category : Computers
Languages : en
Pages : 476
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Book Description
This volume contains the proceedings of the Third International Conference on Algebraic and Logic Programming, held in Pisa, Italy, September 2-4, 1992. Like the two previous conferences in Germany in 1988 and France in 1990, the third conference aims at strengthening the connections betweenalgebraic techniques and logic programming. On the one hand, logic programming has been very successful during the last decades and more and more systems compete in enhancing its expressive power. On the other hand, concepts like functions, equality theory, and modularity are particularly well handled in an algebraic framework. Common foundations of both approaches have recently been developed, and this conference is a forum for people from both areas to exchange ideas, results, and experiences. The book covers the following topics: semantics ofalgebraic and logic programming; integration of functional and logic programming; term rewriting, narrowing, and resolution; constraintlogic programming and theorem proving; concurrent features in algebraic and logic programming languages; and implementation issues.
Author: M.H. ter Beek
Publisher: IOS Press
ISBN: 1643681397
Category : Computers
Languages : en
Pages : 362
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Book Description
This book, A Mosaic of Computational Topics: from Classical to Novel, is a collection of papers published to honor Professor Jetty Kleijn on the occasion of her 65th birthday. The scope and reach of her research is truly broad. She has made significant and lasting contributions in several research areas, both through the solving of challenging problems and in her pioneering of new research directions. She has published influential papers contributing to the foundations of computer science, in particular, in the area of formal languages and automata theory; to concurrency theory, in particular, Petri nets; and to natural computing, in particular bio-inspired computing and the computational modeling of bio-processes. A significant part of Professor Kleijn’s research portfolio is interdisciplinary, including her work on the Petri net modeling of biological processes and the development of novel models of information processing in bio-systems such as reaction systems. She is also passionately engaged in promoting the involvement of women in computer science. Jetty and her work are well-recognized by the scientific community, a fact demonstrated by the enthusiastic response to the invitation to contribute to this book, and the 14 carefully refereed papers collected together here explore a number of research topics that are either directly or indirectly related to research directions pursued by Jetty Kleijn in the course of her career.
