Principles Of Abstract Interpretation
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Principles Of Abstract Interpretation
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Author : Patrick Cousot
language : en
Publisher: MIT Press
Release Date : 2021-09-21
Principles Of Abstract Interpretation written by Patrick Cousot and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-21 with Computers categories.
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.
Introduction To Static Analysis
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Author : Xavier Rival
language : en
Publisher: MIT Press
Release Date : 2020-02-11
Introduction To Static Analysis written by Xavier Rival and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-11 with Computers categories.
A self-contained introduction to abstract interpretation–based static analysis, an essential resource for students, developers, and users. Static program analysis, or static analysis, aims to discover semantic properties of programs without running them. It plays an important role in all phases of development, including verification of specifications and programs, the synthesis of optimized code, and the refactoring and maintenance of software applications. This book offers a self-contained introduction to static analysis, covering the basics of both theoretical foundations and practical considerations in the use of static analysis tools. By offering a quick and comprehensive introduction for nonspecialists, the book fills a notable gap in the literature, which until now has consisted largely of scientific articles on advanced topics. The text covers the mathematical foundations of static analysis, including semantics, semantic abstraction, and computation of program invariants; more advanced notions and techniques, including techniques for enhancing the cost-accuracy balance of analysis and abstractions for advanced programming features and answering a wide range of semantic questions; and techniques for implementing and using static analysis tools. It begins with background information and an intuitive and informal introduction to the main static analysis principles and techniques. It then formalizes the scientific foundations of program analysis techniques, considers practical aspects of implementation, and presents more advanced applications. The book can be used as a textbook in advanced undergraduate and graduate courses in static analysis and program verification, and as a reference for users, developers, and experts.
Principles Of Program Analysis
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Author : Flemming Nielson
language : en
Publisher: Springer
Release Date : 2010-12-01
Principles Of Program Analysis written by Flemming Nielson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-01 with Computers categories.
Program analysis utilizes static techniques for computing reliable information about the dynamic behavior of programs. Applications include compilers (for code improvement), software validation (for detecting errors) and transformations between data representation (for solving problems such as Y2K). This book is unique in providing an overview of the four major approaches to program analysis: data flow analysis, constraint-based analysis, abstract interpretation, and type and effect systems. The presentation illustrates the extensive similarities between the approaches, helping readers to choose the best one to utilize.
Verification Model Checking And Abstract Interpretation
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Author : Krishna Shankaranarayanan
language : en
Publisher: Springer Nature
Release Date : 2025-01-22
Verification Model Checking And Abstract Interpretation written by Krishna Shankaranarayanan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-22 with Computers categories.
The two-volume set LNCS 15529 and 15530 constitutes the proceedings of the 26th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2025, held in Denver, CO, USA, during January 20–21, 2025. The 20 full papers together with 2 accepted tool papers and 18 full length regular and case-study papers presented in the proceedings were carefully reviewed and selected from 48 submissions. The program of VMCAI 2025 conference in the core areas of VMCAI including abstract interpretation, programming languages, hardware and software model checking, cyber-physical systems, formal synthesis, formal methods in artificial intelligence, concurrency and other areas.
Verification Model Checking And Abstract Interpretation
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Author : Rayna Dimitrova
language : en
Publisher: Springer Nature
Release Date : 2023-12-29
Verification Model Checking And Abstract Interpretation written by Rayna Dimitrova and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-29 with Computers categories.
The two-volume set LNCS 14499 and 14500 constitutes the proceedings of the 25th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2024, which took place in London, Ontario, Canada, in January 2024. The 30 full papers presented in the proceedings were carefully reviewed and selected from 74 submissions. They were organized in topical sections as follows:Part I: Abstract interpretation; infinite-state systems; model checking and synthesis; SAT, SMT, and automated reasoning; Part II: Concurrency; neural networks; probabilistic and quantum programs; program and system verification; runtime verification; security and privacy.
Concrete Semantics
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Author : Tobias Nipkow
language : en
Publisher: Springer
Release Date : 2014-12-03
Concrete Semantics written by Tobias Nipkow and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-03 with Computers categories.
Part I of this book is a practical introduction to working with the Isabelle proof assistant. It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isabelle’s structured proof language. Part II is an introduction to the semantics of imperative languages with an emphasis on applications like compilers and program analysers. The distinguishing feature is that all the mathematics has been formalised in Isabelle and much of it is executable. Part I focusses on the details of proofs in Isabelle; Part II can be read even without familiarity with Isabelle’s proof language, all proofs are described in detail but informally. The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a surgical tool for formal proofs about computer science artefacts. In this sense it represents a formal approach to computer science, not just semantics. The Isabelle formalisation, including the proofs and accompanying slides, are freely available online, and the book is suitable for graduate students, advanced undergraduate students, and researchers in theoretical computer science and logic.
Tutorial On Static Inference Of Numeric Invariants By Abstract Interpretation
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Author : Antoine Min©♭
language : en
Publisher:
Release Date : 2017
Tutorial On Static Inference Of Numeric Invariants By Abstract Interpretation written by Antoine Min©♭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Computer software categories.
Born in the late 70s, Abstract Interpretation has proven an effective method to construct static analyzers. It has led to successful program analysis tools routinely used in avionic, automotive, and space industries to help ensuring the correctness of mission-critical software. This tutorial presents Abstract Interpretation and its use to create static analyzers that infer numeric invariants on programs. We first present the theoretical bases of Abstract Interpretation: how to assign a well-defined formal semantics to programs, construct computable approximations to derive effective analyzers, and ensure soundness, i.e., any property derived by the analyzer is true of all actual executions -- although some properties may be missed due to approximations, a necessary compromise to keep the analysis automatic, sound, and terminating when inferring uncomputable properties.We describe the classic numeric abstractions readily available to an analysis designer: intervals, polyhedra, congruences, octagons, etc., as well as domain combiners: the reduced product and various disjunctive completions. This tutorial focuses not only on the semantic aspect, but also on the algorithmic one, providing a description of the data-structures and algorithms necessary to effectively implement all our abstractions. We will encounter many trade-offs between cost on the one hand, and precision and expressiveness on the other hand. Invariant inference is formalized on an idealized, toy-language, manipulating perfect numbers, but the principles and algorithms we present are effectively used in analyzers for real industrial programs, although this is out of the scope of this tutorial. This tutorial is intended as an entry course in Abstract Interpretation, after which the reader should be ready to read the research literature on current advances in Abstract Interpretation and on the design of static analyzers for real languages.
Principles Of Program Analysis
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Author : Flemming Nielson
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-12-10
Principles Of Program Analysis written by Flemming Nielson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-10 with Computers categories.
Program analysis utilizes static techniques for computing reliable information about the dynamic behavior of programs. Applications include compilers (for code improvement), software validation (for detecting errors) and transformations between data representation (for solving problems such as Y2K). This book is unique in providing an overview of the four major approaches to program analysis: data flow analysis, constraint-based analysis, abstract interpretation, and type and effect systems. The presentation illustrates the extensive similarities between the approaches, helping readers to choose the best one to utilize.
The Formal Semantics Of Programming Languages
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Author : Glynn Winskel
language : en
Publisher: MIT Press
Release Date : 1993-02-05
The Formal Semantics Of Programming Languages written by Glynn Winskel and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-05 with Computers categories.
The Formal Semantics of Programming Languages provides the basic mathematical techniques necessary for those who are beginning a study of the semantics and logics of programming languages. These techniques will allow students to invent, formalize, and justify rules with which to reason about a variety of programming languages. Although the treatment is elementary, several of the topics covered are drawn from recent research, including the vital area of concurency. The book contains many exercises ranging from simple to miniprojects.Starting with basic set theory, structural operational semantics is introduced as a way to define the meaning of programming languages along with associated proof techniques. Denotational and axiomatic semantics are illustrated on a simple language of while-programs, and fall proofs are given of the equivalence of the operational and denotational semantics and soundness and relative completeness of the axiomatic semantics. A proof of Godel's incompleteness theorem, which emphasizes the impossibility of achieving a fully complete axiomatic semantics, is included. It is supported by an appendix providing an introduction to the theory of computability based on while-programs. Following a presentation of domain theory, the semantics and methods of proof for several functional languages are treated. The simplest language is that of recursion equations with both call-by-value and call-by-name evaluation. This work is extended to lan guages with higher and recursive types, including a treatment of the eager and lazy lambda-calculi. Throughout, the relationship between denotational and operational semantics is stressed, and the proofs of the correspondence between the operation and denotational semantics are provided. The treatment of recursive types - one of the more advanced parts of the book - relies on the use of information systems to represent domains. The book concludes with a chapter on parallel programming languages, accompanied by a discussion of methods for specifying and verifying nondeterministic and parallel programs.
Verification Model Checking And Abstract Interpretation
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Author : Lenore D. Zuck
language : en
Publisher: Springer
Release Date : 2003-07-01
Verification Model Checking And Abstract Interpretation written by Lenore D. Zuck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Computers categories.
This volume contains the proceedings of the 4th International Conference on Veri?cation, Model Checking, and Abstract Interpretation (VMCAI 2003), held in New York city, January 9–11, 2003. The purpose of VMCAI was to provide a forum for researchers from three communities—Veri?cation, Model Checking, and Abstract Interpretation—that will facilitate interaction, cross-fertilization, and the advance of hybrid methods that combine the three areas. With the g- wingneedforformaltoolstoreasonaboutcomplex,in?nite-state,andembedded systems, such hybrid methods are bound to be of great importance. Topics covered by VMCAI include program veri?cation, static analysis te- niques, model checking, program certi?cation, type systems, abstract domains, debugging techniques, compiler optimization, embedded systems, and formal analysis of security protocols. VMCAI 2003 was the fourth VMCAI meeting. The previous three were held as workshops (Port Je?erson 1997, Pisa 1998, and Venice 2002). It is the success of the last meeting, and the wide response it generated, that made it clear the time had come to make it an annual conference.