Truly Concurrent Process Algebra With Localities
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Truly Concurrent Process Algebra With Localities
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 (?)
Quantum Process Algebra
Quantum Process Algebra introduces readers to the algebraic properties and laws for quantum computing. The book provides readers with all aspects of algebraic theory for quantum computing, including the basis of semantics and axiomatization for quantum computing. With the assumption of a quantum system, readers will learn to solve the modelling of the three main components in a quantum system: unitary operator, quantum measurement, and quantum entanglement, with full support of quantum and classical computing in closed systems. Next, the book establishes the relationship between probabilistic quantum bisimilarity and classical probabilistic bisimilarity, including strong probabilistic bisimilarity and weak probabilistic bisimilarity, which makes an axiomatization of quantum processes possible. With this framework, quantum and classical computing mixed processes are unified with the same structured operational semantics. Finally, the book establishes a series of axiomatizations of quantum process algebras. These process algebras support nearly all main computation properties. Quantum and classical computing in closed quantum systems are unified with the same equational logic and the same structured operational semantics under the framework of ACP-like probabilistic process algebra. This unification means that the mathematics in the book can be used widely for verification of quantum and classical computing mixed systems, for example, most quantum communication protocols. ACP-like axiomatization also inherits the advantages of ACP, for example, and modularity means that it can be extended in an elegant way. - Provides readers with an introduction to the algebraic properties and laws relevant to quantum computing - Shows how quantum and classical computing mixed processes are unified with the same structured operational semantics through the framework of quantum process configuration - Establishes a series of axiomatizations of quantum process algebras
Handbook of Truly Concurrent Process Algebra
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