Abstract interpretation based formal methods and future challenges (2010)
Abstract. In order to contribute to the solution of the software reliability problem, tools have been designed to analyze statically the run-time behavior of programs. Because the correctness problem...
An Abstract Domain to Discover Interval Linear Equalities ⋆ (2010)
Liqian Chen, Antoine Miné, Ji Wang, Patrick Cousot
Abstract. We introduce a new abstract domain, namely the domain of Interval Linear Equalities (itvLinEqs), which generalizes the affine equality domain with interval coefficients by leveraging...
An Abstract Domain to Discover Interval Linear Equalities ⋆ (2010)
Liqian Chen, Antoine Miné, Ji Wang, Patrick Cousot
Abstract. We introduce a new abstract domain, namely the domain of Interval Linear Equalities (itvLinEqs), which generalizes the affine equality domain with interval coefficients by leveraging...
Interval Polyhedra: An Abstract Domain to Infer Interval Linear Relationships ⋆ (2010)
Liqian Chen, Antoine Miné, Ji Wang, Patrick Cousot
Abstract. We introduce a new numerical abstract domain, so-called interval polyhedra (itvPol), to infer and propagate interval linear constraints over program variables. itvPol, which allows to...
Patrick Cousot, École Normale Supérieure, Radhia Cousot
Software watermarking consists in the intentional embedding of indelible stegosignatures or watermarks into the subject software and extraction of the stegosignatures embedded in the stegoprograms...
We study the abstract interpretation of temporal calculi and logics in a general syntax, semantics and abstraction independent setting. This is applied to the µ ⋆-calculus, a generalization of the...
We introduce a general uniform language-independent framework for designing online and offline source-to-source program transformations by abstract interpretation of program semantics. Iterative...
Patrick Cousot, École Normale Supérieure, Radhia Cousot
Software watermarking consists in the intentional embedding of indelible stegosignatures or watermarks into the subject software and extraction of the stegosignatures embedded in the stegoprograms...
We introduce a general uniform language-independent framework for designing online and offline source-to-source program transformations by abstract interpretation of program semantics. Iterative...
A Sound Floating-Point Polyhedra Abstract Domain ⋆ (2009)
Liqian Chen, Antoine Miné, Patrick Cousot
Abstract. The polyhedra abstract domain is one of the most powerful and commonly used numerical abstract domains in the field of static program analysis based on abstract interpretation. In this...
Combination of Abstractions in the astrée Static Analyzer (2009)
Patrick Cousot, Radhia Cousot, Jérôme Feret, Laurent Mauborgne, Antoine Miné, David Monniaux, ...
Abstract. We describe the structure of the abstract domains in the Astrée static analyzer, their modular organization into a hierarchical network, their cooperation to over-approximate the...
Combination of Abstractions in the astrée Static Analyzer (2009)
Patrick Cousot, Radhia Cousot, Jérôme Feret, Laurent Mauborgne, Antoine Miné, David Monniaux, ...
Abstract. We describe the structure of abstract domains in Astrée, their modular organization into a hierarchical network, their cooperation to over-approximate the conjunction/reduced product of...
Bi-inductive Structural Semantics (Extended Abstract) (2009)
We propose a simple order-theoretic generalization of set-theoretic inductive definitions. This generalization covers inductive, co-inductive and bi-inductive definitions and is preserved by...
Interval polyhedra: An abstract domain to infer interval linear relationships (2009)
Liqian Chen, Antoine Miné, Ji Wang, Patrick Cousot
Abstract. We introduce a new numerical abstract domain, so-called interval polyhedra (itvPol), to infer and propagate interval linear constraints over program variables. itvPol, which allows to...
Varieties of Static Analyzers: A Comparison with ASTRÉE (2008)
Patrick Cousot, Radhia Cousot, Jérôme Feret, Antoine Miné, Laurent Mauborgne, David Monniaux, ...
We discuss the characteristic properties of ASTRÉE, an automatic static analyzer for proving the absence of runtime errors in safety-critical real-time synchronous controlcommand C programs, and...
Combination of Abstractions in the ASTR 'EE Static Analyzer? (2008)
Patrick Cousot, Radhia Cousot, Laurent Mauborgne, David Monniaux, Xavier Rival
Abstract. We describe the structure of abstract domains in Astr'ee, their modular organization into a hierarchical network, their cooperation to over-approximate the conjunction/reduced product...
Patrick Cousot, Jerome C. Hunsaker, Visiting Professor
cousot mit edu www.mit.edu/~cousot Course 16.399: “Abstract interpretation”
Théorèmes de points fixes dans les treillis complets, étude du comportement d'un système dynamique discret, analyse sémantique exacte des programmes et applications. Méthodes constructives...
Directions for Research in Approximate System Analysis (2008)
Patrick Cousot, École Normale Supérieure
Program analysis is mainly concerned with the design of program analyzers to automatically determine semantic properties of programs written in some programming language. Such analyzers take programs...
Grammar Analysis and Parsing by Abstract Interpretation (2008)
Patrick Cousot, Radhia Cousot, Patrick Couso
fr www.di.ens.fr/~cousot
Abstract Temporal Abstract Interpretation (2008)
We study the abstract interpretation of temporal calculi and logics in a general syntax, semantics and abstraction independent setting. This is applied to the z-calculus, a generalization of the...
The Long-Standing Software Safety and Security Problem (2008)
Patrick Cousot, Jerome C. Hunsaker, Visiting Professor
cousot mit edu www.mit.edu/~cousot Course 16.399: “Abstract interpretation”
Abstract SOS 2007 Preliminary Version Bi-inductive Structural Semantics (Extended Abstract) (2008)
We propose a simple order-theoretic generalization of set-theoretic inductive definitions. This generalization covers inductive, co-inductive and bi-inductive definitions and is preserved by...
Combination of Abstractions in the astrée Static Analyzer (2008)
Patrick Cousot, Radhia Cousot, Jérôme Feret, Laurent Mauborgne, Antoine Miné, David Monniaux, ...
Abstract. We describe the structure of the abstract domains in the Astrée static analyzer, their modular organization into a hierarchical network, their cooperation to over-approximate the...
Combination of Abstractions in the ASTR 'EE Static Analyzer? (2008)
Patrick Cousot, Radhia Cousot, Laurent Mauborgne, David Monniaux, Xavier Rival
Abstract. We describe the structure of the abstract domains in the Astr'ee static analyzer, their modular organization into a hierarchical network, their cooperation to over-approximate the...
Abstract An Abstract Interpretation-Based Framework for Software Watermarking (2008)
Patrick Cousot, École Normale Supérieure
Software watermarking consists in the intentional embedding of indelible stegosignatures or watermarks into the subject software and extraction of the stegosignatures embedded in the stegoprograms...
Electronic Notes in Theoretical Computer Science 45 (2001) (2008)
Url Http Www, Patrick Cousot, École Normale Supérieure, Radhia Cousot
Interpretation Based Program Transformation: Blocking Command Elimination 1 Patrick Cousot Departement d'informatique Ecole Normale Superieure 45 rue d'Ulm 75230 Paris cedex 05, France...
Parsing as AbstractInterpretation (2008)
Of Grammar Semantics, Patrick Cousot, Radhia Cousot
Earley's parsing algorithm is shown to be an abstract interpretation of a refinement of the derivation semantics of context-free grammars.
Methods and Logics for Proving (2008)
Programs Patrick Cousot, Patrick Cousot
this paper in HOARE & JONES [1989, pp. 45-58]). This paper introduced or revealed a number of ideas which originated an evolution of programming from arts and crafts to a science. Hoare logic had...
Ee Analyzer Patrick, Patrick Cousot, Radhia Cousot, Laurent Mauborgne, David Monniaux, Xavier Rival
ASTR EE is an abstract interpretation-based static program analyzer aiming at proving automatically the absence of run time errors in programs written in the C programming language. It has been...
ACM Workshop on Strategic Directions in Computing Research (2007)
Mit Laboratory, Patrick Cousot
Interpretation Perspective Patrick Cousot Program Analysis Position Statement: ffl Semantic analysis (of programs, systems, etc.) should become a mature discipline to be included in educational...
Design and Implementation of (2007)
Bruno Blanchet, Patrick Cousot, Radhia Cousot, Jerome Feret, Laurent Mauborgne, ...
We report on a successful preliminary experience in the design and implementation of a special-purpose Abstract Interpretation based static program analyzer for the verification of safety critical...
Bruno Blanchet, Patrick Cousot, Radhia Cousot, Laurent Mauborgne, Antoine Min E, David Monniaux
We show that abstract interpretation-based static program analysis can be made ecient and precise enough to formally verify a class of properties for a family of large programs with few or no false...
Abstract. We show that the precision of static abstract software checking algorithms can be enhanced by taking explicitly into account the abstractions semantics. This is illustrated on reachability...
of Higher Order Functional Programs (extended abstract) (2007)
Most applications of the abstract interpretation framework[2] have been for analyzing functional programs use functions on abstract values to approximate functions, thus assuming that functions may...
Octobre Actes Jtaspefl, Patrick Cousot, Radhia Cousot
Following [2], [3] and [4], the abstract interpretation of a program can be formalized as the e#ective computation of an approximation A of the least fixed point lfp(F) of a monotone operator F
Bruno Blanchet, Patrick Cousot, Radhia Cousot, Laurent Mauborgne, Antoine Min E, David Monniaux
We show that abstract interpretation-based static program analysis can be made ecient and precise enough to formally verify a class of properties for a family of large programs with few or no false...
A Static Analyzer for Large Safety-Critical Software (2007)
Blanchet, Bruno, Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, ...
We show that abstract interpretation-based static program analysis can be made efficient and precise enough to formally verify a class of properties for a family of large programs with few or no...
With an appropriate viewer, clicking on texts in dark blue in this Adobe Portable Document Format (PDF) document will point to a reference on the world-wide web. 2
Fixpoint-guided abstraction refinements (2007)
Patrick Cousot, Pierre Ganty, Jean-françois Raskin
Abstract. In this paper, we present an abstract fixpoint checking algorithm with automatic refinement by backward completion in Moore closed abstract domains. We study the properties of our algorithm...
Fixpoint-guided abstraction refinements (2007)
Patrick Cousot, Pierre Ganty, Jean-françois Raskin
Abstract. In this paper, we present an abstract fixpoint checking algorithm with automatic refinement by backward completion in Moore closed abstract domains. We study the properties of our algorithm...
Fixpoint-guided abstraction refinements (2007)
Patrick Cousot, Pierre Ganty, Jean-françois Raskin
Abstract. In this paper, we present an abstract fixpoint checking algorithm with automatic refinement by backward completion in Moore closed abstract domains. We study the properties of our algorithm...
Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, Monniaux, David, ...
Astrée is an abstract interpretation-based static program analyzer aiming at proving automatically the absence of run time errors in programs written in the C programming language. It has been...
Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, Monniaux, David, ...
Astrée is an abstract interpretation-based static program analyzer aiming at proving automatically the absence of run time errors in programs written in the C programming language. It has been...
Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, Monniaux, David, ...
Astrée is an abstract interpretation-based static program analyzer aiming at proving automatically the absence of run time errors in programs written in the C programming language. It has been...
Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, Monniaux, David, ...
Astrée is an abstract interpretation-based static program analyzer aiming at proving automatically the absence of run time errors in programs written in the C programming language. It has been...
Patrick Cousot, Radhia Cousot, Jerôme Feret, Laurent Mauborgne, Antoine Miné, David Monniaux, ...
Abstract. ASTRÉE is an abstract interpretation-based static program analyzer aiming at proving automatically the absence of run time errors in programs written in the C programming language. It has...
Patrick Cousot, Ecole Normale Superieure
In order to verify semialgebraic programs, we automatize the Floyd/Naur/Hoare proof method. The main task is to automatically infer valid invariants and rank functions. First we express the program...
Patrick Cousot, Ecole Normale Superieure
In order to verify semialgebraic programs, we automatize the Floyd/Naur/Hoare proof method. The main task is to automatically infer valid invariants and rank functions. First we express the program...
Integrating Physical Systems in the Static (2005)
Analysis Of Embedded, Patrick Cousot, École Normale Supérieure
Interpretation Abstract interpretation is a theory of e#ective abstraction and/or approximation of discrete mathematical structures as found in the semantics of programming languages, modelling...
Patrick Cousot, Radhia Cousot, Jerôme Feret, Laurent Mauborgne, Antoine Miné, David Monniaux, ...
Abstract. ASTRÉE is an abstract interpretation-based static program analyzer aiming at proving automatically the absence of run time errors in programs written in the C programming language. It has...
Patrick Cousot, Radhia Cousot, Jerôme Feret, Laurent Mauborgne, Antoine Miné, David Monniaux, ...
Abstract. ASTRÉE is an abstract interpretation-based static program analyzer aiming at proving automatically the absence of run time errors in programs written in the C programming language. It has...
Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, Monniaux, David, ...
Astrée is an abstract interpretation-based static program analyzer aiming at proving automatically the absence of run time errors in programs written in the C programming language. It has been...
Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, Monniaux, David, ...
Astrée is an abstract interpretation-based static program analyzer aiming at proving automatically the absence of run time errors in programs written in the C programming language. It has been...
Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, Monniaux, David, ...
Astrée is an abstract interpretation-based static program analyzer aiming at proving automatically the absence of run time errors in programs written in the C programming language. It has been...
- Compositional Fixpoint Semantics: (2004)
Patrick Cousot, École Normale Supérieure, A Few Elements, P S�p, C P. Cousot
• A few elements of abstract interpretation (10 mn)............................................ 4 • Applications of abstract interpretation (1 mn)..... 28 • Application to the verification of...
Basic concepts of abstract interpretation (2004)
Patrick Cousot, École Normale Supérieure, Radhia Cousot
Keywords: A brief introduction to the theory of Abstract Interpretation, examplified by constructing a hierarchy of partial traces, reflexive transitive closure, reachable states and intervals...
A Static Analyzer for Large Safety-Critical Software (2003)
Blanchet, Bruno, Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, ...
We show that abstract interpretation-based static program analysis can be made efficient and precise enough to formally verify a class of properties for a family of large programs with few or no...
A Static Analyzer for Large Safety-Critical Software (2003)
Blanchet, Bruno, Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, ...
We show that abstract interpretation-based static program analysis can be made efficient and precise enough to formally verify a class of properties for a family of large programs with few or no...
A Static Analyzer for Large Safety-Critical Software (2003)
Bruno Blanchet, Patrick Cousot, Radhia Cousot, Jerome Feret, Laurent Mauborgne, Antoine Mine, ...
We show that abstract interpretation-based static program analysis can be made e#cient and precise enough to formally verify a class of properties for a family of large programs with few or no false...
A Static Analyzer for Large Safety-Critical Software (2003)
Bruno Blanchet, Patrick Cousot, Radhia Cousot, Jérôme Feret, Laurent Mauborgne, Antoine Miné, ...
We show that abstract interpretation-based static program analysis can be made efficient and precise enough to formally verify a class of properties for a family of large programs with few or no...
A Static Analyzer for Large Safety-Critical Software (2003)
Bruno Blanchet, Patrick Cousot, Radhia Cousot, Jérôme Feret, Laurent Mauborgne, Antoine Miné, ...
We show that abstract interpretation-based static program analysis can be made efficient and precise enough to formally verify a class of properties for a family of large programs with few or no...
A Static Analyzer for Large Safety-Critical Software (2003)
Exte Nd Ed, Bruno Blanchet, Patrick Cousot, Radhia Cousot, J Feret, Laurent Mauborgne, ...
Bruno Blanchet # Patrick Cousot Radhia Cousot # J er ome Feret Laurent Mauborgne Antoine Min e David Monniaux # Xavier Rival ABSTRACT We show that abstract interpretation-based static program...
A Static Analyzer for Large Safety-Critical Software (2003)
Exte Nd Ed, Bruno Blanchet, Patrick Cousot, Radhia Cousot, Jérôme Feret, Laurent Mauborgne, ...
Bruno Blanchet # Patrick Cousot Radhia Cousot # J er ome Feret Laurent Mauborgne Antoine Min e David Monniaux # Xavier Rival ABSTRACT We show that abstract interpretation-based static program...
A Static Analyzer for Large Safety-Critical Software (2003)
Bruno Blanchet, Patrick Cousot, Radhia Cousot, Jérôme Feret, Laurent Mauborgne, Antoine Miné, ...
We show that abstract interpretation-based static program analysis can be made efficient and precise enough to formally verify a class of properties for a family of large programs with few or no...
A Static Analyzer for Large Safety-Critical Software (2003)
Bruno Blanchet, Laurent Mauborgne, Patrick Cousot, Antoine Miné
Verification by abstract interpretation (2003)
Dedicated to Zohar Manna, for his 2 6 th birthday. Abstract. Abstract interpretation theory formalizes the idea of abstraction of mathematical structures, in particular those involved in the...
Verification by abstract interpretation (2003)
Dedicated to Zohar Manna, for his 2 6 th birthday. Abstract. Abstract interpretation theory formalizes the idea of abstraction of mathematical structures, in particular those involved in the...
A Static Analyzer for Large Safety-Critical Software (2003)
Blanchet, Bruno, Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, ...
We show that abstract interpretation-based static program analysis can be made efficient and precise enough to formally verify a class of properties for a family of large programs with few or no...
A Static Analyzer for Large Safety-Critical Software (2003)
Blanchet, Bruno, Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, ...
We show that abstract interpretation-based static program analysis can be made efficient and precise enough to formally verify a class of properties for a family of large programs with few or no...
A Static Analyzer for Large Safety-Critical Software (2003)
Blanchet, Bruno, Cousot, Patrick, Cousot, Radhia, Feret, Jerôme, Mauborgne, Laurent, Miné, Antoine, ...
We show that abstract interpretation-based static program analysis can be made efficient and precise enough to formally verify a class of properties for a family of large programs with few or no...
Bruno Blanchet, Patrick Cousot, Radhia Cousot, Jerome Feret, Laurent Mauborgne, Antoine Mine, ...
We report on a successful preliminary experience in the design and implementation of a special-purpose Abstract Interpretation based static program analyzer for the verification of safety critical...
Bruno Blanchet, Patrick Cousot, Radhia Cousot, Jérôme Feret, Laurent Mauborgne, Antoine Miné, ...
Abstract. We report on a successful preliminary experience in the design and implementation of a special-purpose Abstract Interpretation based static program analyzer for the verification of safety...
Systematic design of program transformation frameworks by abstract interpretation (2002)
We introduce a general uniform language-independent framework for designing online and oine source-to-source program transformations by abstract interpretation of program semantics. Iterative...
Modular Static Program Analysis (2002)
Abstract. The purpose of this paper is to present four basic methods for interpretation: simplication-based separate analysis; worst-case separate analysis; separate analysis with (user-provided)...
Bruno Blanchet, Patrick Cousot, Radhia Cousot, Jérôme Feret, Laurent Mauborgne, Antoine Mine, ...
We report on a successful preliminary experience in the design and implementation of a special-purpose Abstract Interpretation based static program analyzer for the verification of safety critical...
Bruno Blanchet, Patrick Cousot, Radhia Cousot, Jérôme Feret, Laurent Mauborgne, Antoine Miné, ...
Abstract. We report on a successful preliminary experience in the design and implementation of a special-purpose Abstract Interpretation based static program analyzer for the verification of safety...
struction of semantics-based Abstract interpretation program is analysis a theory algorithms of semantics (sometimes approximation called which \data is ow
Bruno Blanchet, Patrick Cousot, Radhia Cousot, Jérôme Feret, Laurent Mauborgne, Antoine Miné, ...
Abstract. We report on a successful preliminary experience in the design and implementation of a special-purpose Abstract Interpretation based static program analyzer for the verification of safety...
On abstraction in software verification (2002)
Abstract. We show that the precision of static abstract software checking algorithms can be enhanced by taking explicitly into account the abstractions semantics. This is illustrated on reachability...
Modular Static Program Analysis (2002)
Abstract. The purpose of this paper is to present four basic methods for interpretation: – simplification-based separate analysis; – worst-case separate analysis; – separate analysis with...
Abstract interpretation based formal methods and future challenges (2001)
In order to contribute to the solution of the software reliability problem, tools have been designed to analyze statically the run-time behavior of programs. Because the correctness problem is...
Compositional separate modular static analysis of programs by abstract interpretation (2001)
Abstract — The purpose of this paper is to present four basic methods for compositional separate modular static analysis of programs by abstract interpretation: • Simplification-based separate...
Cousot: “Verification of Embedded Software: Problems and Perspectives (2001)
cole normale suprieure
Cousot: “Verification of Embedded Software: Problems and Perspectives (2001)
cole normale suprieure
Verification of Embedded Software: Problems and Perspectives (2001)
Computer aided formal methods have been very successful for the verification or at least enhanced debugging of hardware. The cost of correction of a hardware bug is huge enough to justify high...
Progress on Abstract Interpretation Based Formal Methods and Future Challenges (2001)
In order to contribute to the software reliability problem, tools have beend esigned inord er to analyze statically the run-time behavior of programs. Because the correctness problem isund cid ble,...
Ver i fi cat i on o f Embedded Software: Problems (2001)
And Perspectives Patrick, Patrick Cousot, Radhia Cousot
Computer aided formal methods have been very successful for the verification or at least enhanced debugging of hardware. The cost of correction of a hardware bug is huge enough to justify high...
Dpartementd Informatique Cole, Patrick Cousot
n ord er to contribute to the software reliability problem, tools have beend esigned inord er to analyze statically the run-time behavior of programs. Because the correctness problem isund cid ble,...
Abstract interpretation based formal methods and future challenges, invited paper (2001)
Abstract. In order to contribute to the solution of the software reliability problem, tools have been designed to analyze statically the run-time behavior of programs. Because the correctness problem...
Abstract interpretation based formal methods and future challenges, invited paper (2001)
Abstract. In order to contribute to the solution of the software reliability problem, tools have been designed to analyze statically the run-time behavior of programs. Because the correctness problem...
Abstract interpretation based formal methods and future challenges, invited paper (2001)
Abstract. In order to contribute to the solution of the software reliability problem, tools have been designed to analyze statically the run-time behavior of programs. Because the correctness problem...
Abstract interpretation based formal methods and future challenges, invited paper (2001)
Abstract. In order to contribute to the solution of the software reliability problem, tools have been designed to analyze statically the run-time behavior of programs. Because the correctness problem...
We construct a hierarchy of semantics by successive abstract interpretations. Starting from the maximal trace semantics of a transition system, we derive the big-step semantics, termination and...
Abstract Interpretation Based Program Testing (2000)
Abstract — Every one can daily experiment that programs are bugged. Software bugs can have severe if not catastrophic consequences in computer-based safety critical applications. This impels the...
Refining model checking by abstract interpretation (1999)
Abstract. Formal methods combining abstract interpretation and model-checking have been considered for automated analysis of software. In abstract model-checking, the semantics of an infinite...
Refining model checking by abstract interpretation (1999)
Abstract. Formal methods combining abstract interpretation and model-checking have been considered for automated analysis of software. In abstract model-checking, the semantics of an infinite...
Directions for Research in Approximate System Analysis (1999)
Patrick Cousot, Cole Normale Suprieure
interpretation is a formalization of program analysis based on the last idea. Program analysis algorithms approximate the incomputable collection of all possible behaviors of the program as specified...
We construct a hierarchy of semantics by successive abstract interpretations. Starting from a maximal trace semantics of a transition system, we derive a big-step semantics, termination and...
We construct a hierarchy of semantics by successive abstract interpretations. Starting from a maximal trace semantics of a transition system, we derive a big-step semantics, termination and...
Abstract interpretation of algebraic polynomial systems (1997)
Abstract. We de ne a hierarchy of compositional formal semantics of algebraic polynomial systems over F-algebras by abstract interpretation. This generalizes classical formal language theoretical...
Semantics-based Program Analysis via Symbolic Composition of Transfer Relations (1996)
Christopher Colby, Patrick Cousot, Ecole Normale Superieure
iv The goal of program analysis is to determine automatically properties of the run-time behavior of a program. Tools of software development, such as compilers, program-veri cation systems, and...
We present a language and semantics-independent, compositional and inductive method for specifying formal semantics or semantic properties of programs in equivalent fixpoint, equational, constraint,...
Formal Language, Grammar and Set-Constraint-Based Program Analysis by Abstract Interpretation (1995)
Grammar-based program analysis à la Jones and Muchnick and set-constraint-based program analysis à la Aiken and Heintze are static analysis techniques that have traditionally been seen as quite...
Galois connection based abstract interpretations for strictness analysis, invited paper (1993)
Patrick Cousot, Radhia Cousot Liens, Ecole Normale Sup'erieure
Abstract. The abstract interpretation framework based upon the approxi-mation of a fixpoint collecting semantics using Galois connections and widen-ing/narrowing operators on complete lattices...
Comparing the Galois Connection and Widening/Narrowing Approaches to Abstract Interpretation (1992)
The use of infinite abstract domains with widening and narrowing for accelerating the convergence of abstract interpretations is shown to be more powerful than the Galois connection approach...
he Galois Connect93 and Widening/Narrowing Approaches t Abst530 Int313873P607 (1992)
Patrick Cou And, Patrick Cousot, Radhia Cousot
The use of infinite abstrac t domains with widening and - narrowing for acg.vBxTvGB thec onvergenc ofabstrac interpretations is shown to be more powerful than the Galoisc onnec tion approac h re#...
Abstract interpretation frameworks (1992)
We introduce abstract interpretation frameworks which are variations on the archetypal framework using Galois connections between concrete and abstract semantics, widenings and narrowings and are...
Abstract Interpretation Frameworks (1992)
COUSOT, PATRICK, COUSOT, RADHIA
We introduce abstract interpretation frameworks which are variations on the archetypal framework using Galois connections between concrete and abstract semantics, widenings and narrowings and are...
Abstract interpretation and application to logic programs. J.Logic Programming (1992)
Abstract. Abstract interpretation is a theory of semantics approximation which is usedfor the construction of semantics-basedprogram analysis algorithms (sometimes called“data flow analysis”),...
Constructive Versions Of Tarski's Fixed Point Theorems (1979)
this paper is to give a constructive proof of Tarski's theorem without using the continuity hypothesis. The set of fixed points of F is shown to be the image of L by preclosure operations...
Théorèmes de points fixes dans les treillis complets, étude du comportement d'un système dynamique discret, analyse sémantique exacte des programmes et applications. Méthodes constructives...
Théorèmes de points fixes dans les treillis complets, étude du comportement d'un système dynamique discret, analyse sémantique exacte des programmes et applications. Méthodes constructives...
Théorèmes de points fixes dans les treillis complets, étude du comportement d'un système dynamique discret, analyse sémantique exacte des programmes et applications. Méthodes constructives...
Thèse--Université scientifique et médicale de Grenoble, Institut national polytechnique de Grenoble.
Théorèmes de points fixes dans les treillis complets, étude du comportement d'un système dynamique discret, analyse sémantique exacte des programmes et applications. Méthodes constructives...
Théorèmes de points fixes dans les treillis complets, étude du comportement d'un système dynamique discret, analyse sémantique exacte des programmes et applications. Méthodes constructives...
Théorèmes de points fixes dans les treillis complets, étude du comportement d'un système dynamique discret, analyse sémantique exacte des programmes et applications. Méthodes constructives...
Automatic discovery of linear restraints among variables of a program (1978)
Patrick Cousot, Nicolas Halbwachs
The model o abstract interpretation o programs developped by Cousot[1978], Cousot[1977] is applied to the static determination o linear equality or
Théorèmes de points fixes dans les treillis complets, étude du comportement d'un système dynamique discret, analyse sémantique exacte des programmes et applications. Méthodes constructives...
Théorèmes de points fixes dans les treillis complets, étude du comportement d'un système dynamique discret, analyse sémantique exacte des programmes et applications. Méthodes constructives...
Théorèmes de points fixes dans les treillis complets, étude du comportement d'un système dynamique discret, analyse sémantique exacte des programmes et applications. Méthodes constructives...
FOR STATIC ANALYSIS OF PROGRAMS (1977)
Preliltnary Draft, Patrick Cust, Radhia Coust, Patrick Cousot, Radhia Coust, Abs T Ract
absty.act tntez,pretation of orograrns is a mathematical r'rodel for static analysis of prograns: a ne\ { interpretation is given to the Drogran text and this a1lows the building of a system of...
Définition interprétative et implantation de langages de programmation / (1974)
Thesis (doctoral)--Université scientifique et médicale de Grenoble, 1974.
Preliminary Proceedings of the Workshop on Geometry and Topology in Concurrency Theory
Patrick Cousot, Lisbeth Fajstrup, Eric Goubault, Maurice Herlihy, Kurtz Alexander, Martin Raußen, ...
Reproduction of all or part of this work is permitted for educational or research use on condition that this copyright notice is included in any copy. See back inner page for a list of recent BRICS...
Preliminary Proceedings of the Workshop on Geometry and Topology in Concurrency Theory
Patrick Cousot, Eric Goubault, Jeremy Gunawardena, Maurice Herlihy, Martin Raussen, Vladimiro Sassone, ...
Reproduction of all or part of this work is permitted for educational or research use on condition that this copyright notice is included in any copy. See back inner page for a list of recent BRICS...
Patrick Cousot, Lisbeth Fajstrup, Eric Goubault, Maurice Herlihy, Kim G. Larsen, Martin Raußen, ...
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Preliminary Proceedings of the Workshop on Geometry and Topology in Concurrency Theory
Patrick Cousot, Lisbeth Fajstrup, Eric Goubault, Maurice Herlihy, Kurtz Alexander, Martin Raußen, ...
Reproduction of all or part of this work is permitted for educational or research use on condition that this copyright notice is included in any copy. See back inner page for a list of recent BRICS...
Patrick Cousot, Lisbeth Fajstrup, Eric Goubault, Maurice Herlihy, Martin Raußen, Vladimiro Sassone, ...
Reproduction of all or part of this work is permitted for educational or research use on condition that this copyright notice is included in any copy. See back inner page for a list of recent BRICS...
Geometry and Topology in Concurrency Theory
Patrick Cousot, Lisbeth Fajstrup, Eric Goubault, Maurice Herlihy, Martin Raußen, Vladimiro Sassone, ...
is permitted for educational or research use on condition that this copyright notice is included in any copy. See back inner page for a list of recent BRICS Notes Series publications. Copies may be...
Preliminary Proceedings of the Workshop on Geometry and Topology in Concurrency Theory
Patrick Cousot, Lisbeth Fajstrup, Eric Goubault, Jeremy Gunawardena, Maurice Herlihy, Martin Raussen, ...
Reproduction of all or part of this work is permitted for educational or research use on condition that this copyright notice is included in any copy. See back inner page for a list of recent BRICS...