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Author: Frederic Geurts
Publisher: Springer
ISBN: 3540492119
Category : Computers
Languages : en
Pages : 283
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Book Description
This self-contained monograph is an integrated study of generic systems defined by iterated relations using the two paradigms of abstraction and composition. This accommodates the complexity of some state-transition systems and improves understanding of complex or chaotic phenomena emerging in some dynamical systems. The main insights and results of this work concern a structural form of complexity obtained by composition of simple interacting systems representing opposed attracting behaviors. This complexity is expressed in the evolution of composed systems (their dynamics) and in the relations between their initial and final states (the computation they realize). The theoretical results are validated by analyzing dynamical and computational properties of low-dimensional prototypes of chaotic systems, high-dimensional spatiotemporally complex systems, and formal systems.
Author: Frederic Geurts
Publisher: Springer
ISBN: 3540492119
Category : Computers
Languages : en
Pages : 283
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Book Description
This self-contained monograph is an integrated study of generic systems defined by iterated relations using the two paradigms of abstraction and composition. This accommodates the complexity of some state-transition systems and improves understanding of complex or chaotic phenomena emerging in some dynamical systems. The main insights and results of this work concern a structural form of complexity obtained by composition of simple interacting systems representing opposed attracting behaviors. This complexity is expressed in the evolution of composed systems (their dynamics) and in the relations between their initial and final states (the computation they realize). The theoretical results are validated by analyzing dynamical and computational properties of low-dimensional prototypes of chaotic systems, high-dimensional spatiotemporally complex systems, and formal systems.
Author: Andreas Podelski
Publisher: Springer
ISBN: 3319997254
Category : Computers
Languages : en
Pages : 456
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Book Description
This book constitutes the refereed proceedings of the 25th International Static Analysis Symposium, SAS 2018, held in Freiburg, Germany, in August 2018. The 18 papers presented in this volume were carefully reviewed and selected from 37 submissions. The contributions cover a variety of multi-disciplinary topics in abstract domains: program verication, bug detection, compiler optimization, program understanding, and software maintenance.
Author: Frédéric Geurts
Publisher:
ISBN:
Category : Abstract data types (Computer science)
Languages : en
Pages : 280
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Book Description
Author: Carl C. Cowen Jr.
Publisher: Routledge
ISBN: 1351459139
Category : Mathematics
Languages : en
Pages : 404
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Book Description
The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehensive introduction to the linear operators of composition with a fixed function acting on a space of analytic functions. This new book both highlights the unifying ideas behind the major theorems and contrasts the differences between results for related spaces. Nine chapters introduce the main analytic techniques needed, Carleson measure and other integral estimates, linear fractional models, and kernel function techniques, and demonstrate their application to problems of boundedness, compactness, spectra, normality, and so on, of composition operators. Intended as a graduate-level textbook, the prerequisites are minimal. Numerous exercises illustrate and extend the theory. For students and non-students alike, the exercises are an integral part of the book. By including the theory for both one and several variables, historical notes, and a comprehensive bibliography, the book leaves the reader well grounded for future research on composition operators and related areas in operator or function theory.
Author: Michael L. Brodie
Publisher:
ISBN:
Category : Database management
Languages : en
Pages : 92
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Book Description
Author: Patrick Cousot
Publisher: MIT Press
ISBN: 0262361523
Category : Computers
Languages : en
Pages : 833
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Book Description
Introduction to abstract interpretation, with examples of applications to the semantics, specification, verification, and static analysis of computer programs. Formal methods are mathematically rigorous techniques for the specification, development, manipulation, and verification of safe, robust, and secure software and hardware systems. Abstract interpretation is a unifying theory of formal methods that proposes a general methodology for proving the correctness of computing systems, based on their semantics. The concepts of abstract interpretation underlie such software tools as compilers, type systems, and security protocol analyzers. This book provides an introduction to the theory and practice of abstract interpretation, offering examples of applications to semantics, specification, verification, and static analysis of programming languages with emphasis on calculational design. The book covers all necessary computer science and mathematical concepts--including most of the logic, order, linear, fixpoint, and discrete mathematics frequently used in computer science--in separate chapters before they are used in the text. Each chapter offers exercises and selected solutions. Chapter topics include syntax, parsing, trace semantics, properties and their abstraction, fixpoints and their abstractions, reachability semantics, abstract domain and abstract interpreter, specification and verification, effective fixpoint approximation, relational static analysis, and symbolic static analysis. The main applications covered include program semantics, program specification and verification, program dynamic and static analysis of numerical properties and of such symbolic properties as dataflow analysis, software model checking, pointer analysis, dependency, and typing (both for forward and backward analysis), and their combinations. Principles of Abstract Interpretation is suitable for classroom use at the graduate level and as a reference for researchers and practitioners.
Author: Sophia Drossopoulou
Publisher: Springer
ISBN: 3540787399
Category : Computers
Languages : en
Pages : 410
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Book Description
This proceedings volume of the 17th European Symposium on Programming examines fundamental issues in the specification, analysis and implementation of programming languages and systems, including static analysis, security, concurrency and program verification.
Author: Erik Ernst
Publisher: Springer Science & Business Media
ISBN: 3540735887
Category : Computers
Languages : en
Pages : 637
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Book Description
The21stEuropeanConferenceonObject-OrientedProgramming,ECOOP2007, was held in Berlin, Germany, on July 30 to August 3, 2007. ECOOP is the most importantand inspiring forumin Europeandbeyond for researchers,practiti- ers, and students working in that smorgasbord of topics and approaches known as object orientation. This topic area was explored and challenged by excellent invited speakers—two of which were the winners of this year’s Dahl-Nygaard award—in the carefully refereed and selected technical papers, on posters, via demonstrations, and in tutorials. Each of the many workshops complemented this with a very interactive and dynamic treatment of more speci?c topics. - nally, panels allowed for loud and lively disagreement. Yet, it is one of ECOOP’s specialqualities that this plethora ofactivities add upto a coherentandexciting whole, rather than deteriorating into chaos. The Program Committee received 161 submissions this year. Only 135 of them were carried through the full review process, because of a number of - tractions and a number of submissions of abstracts that were never followed by a full paper. However, the remaining papers were of very high quality and we accepted25 of them for publication. Helping very goodpapers to be published is more useful than having an impressively low acceptance rate. The papers were selected according to four groups of criteria, whose priority depended on the paper: relevance; originality and signi?cance; precisionand correctness;and p- sentation and clarity. Each paper had three, four, or ?ve reviews, depending on how controversial it was.
Author:
Publisher:
ISBN:
Category : Algology
Languages : en
Pages : 882
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Book Description
Author: Antoine Mine
Publisher: Springer
ISBN: 3642331254
Category : Computers
Languages : en
Pages : 466
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Book Description
This book constitutes the thoroughly refereed proceedings of the 19th International Symposium on Static Analysis, SAS 2012, held in Deauville, France, in September 2012. The 25 revised full papers presented together with 4 invited talks were selected from 62 submissions. The papers address all aspects of static analysis, including abstract domains, abstract interpretation, abstract testing, bug detection, data flow analysis, model checking, new applications, program transformation, program verification, security analysis, theoretical frameworks, and type checking.
