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A Logical Process Calculus
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Book Synopsis A Logical Process Calculus by : Rance Cleaveland
Download or read book A Logical Process Calculus written by Rance Cleaveland and published by . This book was released on 2002 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents the Logical Process Calculus (LPC), a formalism that supports heterogeneous system specifications containing both operational and declarative subspecifications. Syntactically, LPC extends Milner's Calculus of Communicating Systems with operators from the alternation-free linear- time (mu)-calculus (LT(mu)). Semantically, LPC is equipped with a behavioral preorder that generalizes Hennessy's and DeNicola's must-testing preorder as well as LT(mu)'s satisfaction relation, while being compositional for all LPC operators. From a technical point of view, the new calculus is distinguished by the inclusion of (i) both minimal and maximal fixed-point operators and (ii) an unimplementability predicate on process terms, which tags inconsistent specifications. The utility of LPC is demonstrated by means of an example highlighting the benefits of heterogeneous system specification.
Book Synopsis A Calculus of Distributed and Parallel Processes by : Clemens H. Cap
Download or read book A Calculus of Distributed and Parallel Processes written by Clemens H. Cap and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a process calculus for parallel, distributed and reactive systems. It describes the conceptual foundations as well as the mathematical theory behind a programming language, and a number of application examples. The chosen approach provides a framework for understanding the semantics of parallel and distributed systems. Moreover, it can be directly applied to practical problems.
Book Synopsis R-CALCULUS: A Logic of Belief Revision by : Wei Li
Download or read book R-CALCULUS: A Logic of Belief Revision written by Wei Li and published by Springer Nature. This book was released on 2021-11-01 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces new models based on R-calculus and theories of belief revision for dealing with large and changing data. It extends R-calculus from first-order logic to propositional logic, description logics, modal logic and logic programming, and from minimal change semantics to subset minimal change, pseudo-subformula minimal change and deduction-based minimal change (the last two minimal changes are newly defined). And it proves soundness and completeness theorems with respect to the minimal changes in these logics. To make R-calculus computable, an approximate R-calculus is given which uses finite injury priority method in recursion theory. Moreover, two applications of R-calculus are given to default theory and semantic inheritance networks. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic. Also it is very useful for all those who are interested in data, digitization and correctness and consistency of information, in modal logics, non monotonic logics, decidable/undecidable logics, logic programming, description logics, default logics and semantic inheritance networks.
Book Synopsis R-Calculus, V: Description Logics by : Wei Li
Download or read book R-Calculus, V: Description Logics written by Wei Li and published by Springer Nature. This book was released on 2024-01-05 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book series consists of two parts, decidable description logics and undecidable description logics. It gives the R-calculi for description logics. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic.
Book Synopsis Introduction to Stochastic Calculus with Applications by : Fima C. Klebaner
Download or read book Introduction to Stochastic Calculus with Applications written by Fima C. Klebaner and published by Imperial College Press. This book was released on 2005 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise treatment of stochastic calculus and its applications. It gives a simple but rigorous treatment of the subject including a range of advanced topics, it is useful for practitioners who use advanced theoretical results. It covers advanced applications, such as models in mathematical finance, biology and engineering.Self-contained and unified in presentation, the book contains many solved examples and exercises. It may be used as a textbook by advanced undergraduates and graduate students in stochastic calculus and financial mathematics. It is also suitable for practitioners who wish to gain an understanding or working knowledge of the subject. For mathematicians, this book could be a first text on stochastic calculus; it is good companion to more advanced texts by a way of examples and exercises. For people from other fields, it provides a way to gain a working knowledge of stochastic calculus. It shows all readers the applications of stochastic calculus methods and takes readers to the technical level required in research and sophisticated modelling.This second edition contains a new chapter on bonds, interest rates and their options. New materials include more worked out examples in all chapters, best estimators, more results on change of time, change of measure, random measures, new results on exotic options, FX options, stochastic and implied volatility, models of the age-dependent branching process and the stochastic Lotka-Volterra model in biology, non-linear filtering in engineering and five new figures.Instructors can obtain slides of the text from the author.
Book Synopsis R-Calculus, IV: Propositional Logic by : Wei Li
Download or read book R-Calculus, IV: Propositional Logic written by Wei Li and published by Springer Nature. This book was released on 2023-03-27 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fourth volume of the book series combines propositional logic and R-calculus for a new point of view to consider belief revision. It gives the R-calculi for propositional logic, description logics, propositional modal logic, logic programming, ⇝-propositional logic, semantic networks, and three-valued logic, etc.. Applications of R-calculus in logic of supersequents are also given. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic.
Book Synopsis R-Calculus, III: Post Three-Valued Logic by : Wei Li
Download or read book R-Calculus, III: Post Three-Valued Logic written by Wei Li and published by Springer Nature. This book was released on 2022-11-19 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third volume of the book series shows R-calculus is a Gentzen-typed deduction system which is non-monotonic, and is a concrete belief revision operator which is proved to satisfy the AGM postulates and the DP postulates. In this book, R-calculus is taken as Tableau-based/sequent-based/multisequent-based to preserve the satisfiability of the Theory/sequent/multisequent to revise, or sequent-based, to preserve the satisfiability of the sequent to revise. The R-calculi for Post and three-valued logic is given. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic.
Book Synopsis Theory Of Knowledge: Structures And Processes by : Mark Burgin
Download or read book Theory Of Knowledge: Structures And Processes written by Mark Burgin and published by World Scientific. This book was released on 2016-10-27 with total page 965 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to synthesize different directions in knowledge studies into a unified theory of knowledge and knowledge processes. It explicates important relations between knowledge and information. It provides the readers with understanding of the essence and structure of knowledge, explicating operations and process that are based on knowledge and vital for society.The book also highlights how the theory of knowledge paves the way for more advanced design and utilization of computers and networks.
Book Synopsis R-Calculus, II: Many-Valued Logics by : Wei Li
Download or read book R-Calculus, II: Many-Valued Logics written by Wei Li and published by Springer Nature. This book was released on 2022-04-12 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of the book series shows R-calculus is a combination of one monotonic tableau proof system and one non-monotonic one. The R-calculus is a Gentzen-type deduction system which is non-monotonic, and is a concrete belief revision operator which is proved to satisfy the AGM postulates and the DP postulates. It discusses the algebraical and logical properties of tableau proof systems and R-calculi in many-valued logics. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic. Also it is very useful for all those who are interested in data, digitization and correctness and consistency of information, in modal logics, non monotonic logics, decidable/undecidable logics, logic programming, description logics, default logics and semantic inheritance networks.
Book Synopsis R-Calculus, VI: Finite Injury Priority Method by : Wei Li
Download or read book R-Calculus, VI: Finite Injury Priority Method written by Wei Li and published by Springer Nature. This book was released on with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Logical Approach to Discrete Math by : David Gries
Download or read book A Logical Approach to Discrete Math written by David Gries and published by Springer Science & Business Media. This book was released on 1993-10-22 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.
Book Synopsis Semantics and Algebraic Specification by : Jens Palsberg
Download or read book Semantics and Algebraic Specification written by Jens Palsberg and published by Springer. This book was released on 2009-09-19 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume, published to honor Peter D. Mosses on the occasion of his 60th birthday, includes 17 invited chapters by many of Peter's coauthors, collaborators, close colleagues, and former students. Peter D. Mosses is known for his many contributions in the area of formal program semantics. In particular he developed action semantics, a combination of denotational, operational and algebraic semantics. The presentations - given on a symposium in his honor in Udine, Italy, on September 10, 2009 - were on subjects related to Peter's many technical contributions and they were a tribute to his lasting impact on the field. Topics addressed by the papers are action semantics, security policy design, colored petri nets, order-sorted parameterization and induction, object-oriented action semantics, structural operational semantics, model transformations, the scheme programming language, type checking, action algebras, and denotational semantics.
Book Synopsis An Introduction to Mathematical Logic and Type Theory by : Peter B. Andrews
Download or read book An Introduction to Mathematical Logic and Type Theory written by Peter B. Andrews and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: In case you are considering to adopt this book for courses with over 50 students, please contact [email protected] for more information. This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability. The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory. Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises. Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higher-order logic for hardware and software specification and verification.
Book Synopsis Algebraic and Coalgebraic Methods in the Mathematics of Program Construction by : Roland Backhouse
Download or read book Algebraic and Coalgebraic Methods in the Mathematics of Program Construction written by Roland Backhouse and published by Springer Science & Business Media. This book was released on 2002-04-17 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Program construction is about turning specifications of computer software into implementations. Recent research aimed at improving the process of program construction exploits insights from abstract algebraic tools such as lattice theory, fixpoint calculus, universal algebra, category theory, and allegory theory. This textbook-like tutorial presents, besides an introduction, eight coherently written chapters by leading authorities on ordered sets and complete lattices, algebras and coalgebras, Galois connections and fixed point calculus, calculating functional programs, algebra of program termination, exercises in coalgebraic specification, algebraic methods for optimization problems, and temporal algebra.
Book Synopsis An Examination of the Demonstrations of Davies'Legendre, Showing how the Polygon Becomes the Circle, by the Methods of Newton. By C. Davies by : Charles DAVIES (LL.D.)
Download or read book An Examination of the Demonstrations of Davies'Legendre, Showing how the Polygon Becomes the Circle, by the Methods of Newton. By C. Davies written by Charles DAVIES (LL.D.) and published by . This book was released on 1873 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Formal Methods for Open Object-Based Distributed Systems by : Paolo Ciancarini
Download or read book Formal Methods for Open Object-Based Distributed Systems written by Paolo Ciancarini and published by Springer. This book was released on 2013-11-11 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Methods for Open Object-Based Distributed Systems presents the leading edge in several related fields, specifically object-orientated programming, open distributed systems and formal methods for object-oriented systems. With increased support within industry regarding these areas, this book captures the most up-to-date information on the subject. Many topics are discussed, including the following important areas: object-oriented design and programming; formal specification of distributed systems; open distributed platforms; types, interfaces and behaviour; formalisation of object-oriented methods. This volume comprises the proceedings of the International Workshop on Formal Methods for Open Object-based Distributed Systems (FMOODS), sponsored by the International Federation for Information Processing (IFIP) which was held in Florence, Italy, in February 1999. Formal Methods for Open Object-Based Distributed Systems is suitable as a secondary text for graduate-level courses in computer science and telecommunications, and as a reference for researchers and practitioners in industry, commerce and government.
Book Synopsis The Art of Modelling Computational Systems: A Journey from Logic and Concurrency to Security and Privacy by : Mário S. Alvim
Download or read book The Art of Modelling Computational Systems: A Journey from Logic and Concurrency to Security and Privacy written by Mário S. Alvim and published by Springer Nature. This book was released on 2019-11-04 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift was published in honor of Catuscia Palamidessi on the occasion of her 60th birthday. It features 6 laudations, which are available in the front matter of the volume, and 25 papers by close collaborators and friends. The papers are organized in topical sections named: concurrency; logic and constraint programming; security and privacy; and models and puzzles. These contributions are a tribute to Catuscia Palamidessi’s intellectual depth, vision, passion for science, and tenacity in solving technical problems. They also reflect the breadth and impact of her work. Her scientific interests include, in chronological order, principles of programming languages, concurrency theory, security, and privacy.
