Principles of Abstract Interpretation

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 ...

Author: Patrick Cousot

Publisher: MIT Press

ISBN: 0262044900

Category: Computers

Page: 833

View: 384

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.

Principles of Abstract Interpretation

54 Conclusion We briefly revisit the principles that have guided the ideas and work presented in this book . Contents 54.1 On the Scope of Abstract Interpretation 54.2 Principles of Abstract Interpretation 54.3 Semantics 54.4 ...

Author: Patrick Cousot

Publisher: MIT Press

ISBN: 0262361523

Category: Computers

Page: 832

View: 905

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.

Verification Model Checking and Abstract Interpretation

The St ̊almarck-based framework is based on much different principles from the RSY and bilateral frameworks for computing symbolic abstraction. The latter frameworks use an inductive-learning approach to learn from ...

Author: Barbara Jobstmann

Publisher: Springer

ISBN: 3662491222

Category: Computers

Page: 558

View: 492

This book constitutes the refereed proceedings of the 17th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2016, held in St. Petersburg, FL, USA, in January 2016. The 24 full papers together with 2 invited talks and 1 abstract presented were carefully reviewed and selected from 67 submissions. VMCAI provides topics including: program verification, model checking, abstractinterpretation and abstract domains, program synthesis, static analysis,type systems, deductive methods, program certification, debugging techniques,program transformation, optimization, hybrid and cyber-physical systems.

Verification Model Checking and Abstract Interpretation

Abstract Interpretation: A Unified Lattice Model for Static Analysis of Programs by Construction or Approximation of Fixpoints. In Proceedings of Fourth ACM Symp. Principles of Programming Languages, pages 238–252, 1977. 9.

Author: Agostino Cortesi

Publisher: Springer

ISBN: 3540478132

Category: Computers

Page: 331

View: 159

This book constitutes the thoroughly refereed post-proceedings of the Third International Workshop on Verification, Model Checking, and Abstract Interpretation, VMCAI 2002, held in Venice, Italy in January 2002. The 22 revised full papers presented were carefully reviewed and selected from 41 submissions. The papers are organized in topical sections on security and protocols, timed systems and games, static analysis, optimization, types and verification, and temporal logics and systems.

Principles of Program Analysis

The principle of lattice duality is important for program analysis because it gives an easy way of relating the literature on Abstract Interpretation to the " classical ” literature on Data Flow Analysis : simply dualise the complete ...

Author: Flemming Nielson

Publisher: Springer Science & Business Media

ISBN: 9783540654100

Category: Computers

Page: 482

View: 485

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

Types as abstract interpretations, invited paper. In 24th ACM Symposium on Principles of Programming Languages (POPL '97), pages 316–331. ACM Press, January 1997. P. Cousot and R. Cousot. Abstract interpretation: a unified lattice model ...

Author: E. Allen Emerson

Publisher: Springer Science & Business Media

ISBN: 3540311394

Category: Computers

Page: 453

View: 103

The 27 revised full papers presented here, together with one invited paper were carefully reviewed and selected from 58 submissions. The papers feature current research from the communities of verification, model checking, and abstract interpretation, facilitating interaction, cross-fertilization, and advancement of hybrid methods.

Verification Model Checking and Abstract Interpretation

Springer, Heidelberg (2003) 4. Cousot, P., Cousot, R.: Abstract interpretation: a unified lattice model for static analysis of programs by construction or approximation of fixpoints. In: Principles of Programming Languages, pp. 238–252.

Author: Roberto Giacobazzi

Publisher: Springer

ISBN: 364235873X

Category: Computers

Page: 556

View: 421

This book constitutes the refereed proceedings of the 14th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2013, held in Rome, Italy, in January 2013, co-located with the Symposium on Principles of Programming Languages, POPL 2013. The 27 revised full papers presented were carefully reviewed and selected from 72 submissions. The papers cover a wide range of topics including program verification, model checking, abstract interpretation and abstract domains, program synthesis, static analysis, type system, deductive methods, program certification, debugging techniques, program transformation, optimization, hybrid and cyber-physical systems.

Verification Model Checking and Abstract Interpretation

P. Cousot and R. Cousot, Abstract interpretation: a unified lattice model for static analysis of programs by construction or approximation of fixpoints. In Conference Record of the 4th Symposium on Principles of Programming Languages, ...

Author: Lenore D. Zuck

Publisher: Springer

ISBN: 354036384X

Category: Computers

Page: 328

View: 336

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.

Foundations of Software Science and Computation Structures

This assumption is motivated by the analysis performed, but is not a requirement of Abstract Interpretation itself. ... In: Proceedings of the 4th ACM SIGACT-SIGPLAN Symposium on Principles of Programming Languages. p. 238–252.

Author: Patricia Bouyer

Publisher: Springer Nature

ISBN: 3030992535

Category: Computers

Page: 471

View: 785

This open access book constitutes the proceedings of the 25th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2022, which was held during April 4-6, 2022, in Munich, Germany, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2022. The 23 regular papers presented in this volume were carefully reviewed and selected from 77 submissions. They deal with research on theories and methods to support the analysis, integration, synthesis, transformation, and verification of programs and software systems.

Verification Model Checking and Abstract Interpretation

311, 3–14 (2015) Might, M., Manolios, P.: A posteriori soundness for non-deterministic abstract interpretations. ... In: Proceedings of the 17th International Symposium on Principles and Practice of Declarative Programming, pp. 232–243.

Author: Constantin Enea

Publisher: Springer

ISBN: 3030112454

Category: Computers

Page: 602

View: 949

This book constitutes the refereed proceedings of the 20th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2019, held in Cascais, Portugal, in January 2019.The 27 full papers presented together with the abstracts of 3 invited keynote talks were carefully reviewed and selected from 62 submissions. VMCAI provides topics including: program verification, model checking, abstract interpretation, program synthesis, static analysis, type systems, deductive methods, program certification, decision procedures, theorem proving, program certification, debugging techniques, program transformation, optimization, and hybrid and cyber-physical systems.