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Abstract interpretation

In computer science, abstract interpretation is a theory of sound approximation of the semantics of computer programs, based on monotonic functions over ordered sets, especially lattices. It can be viewed as a partial execution of a computer program which gains information about its semantics (e.g., control-flow, data-flow) without performing all the…

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Overview

Intuition

Abstract interpretation of computer programs

Formalization

Examples of abstract domains

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Map overview Semantic statistics

Abstract interpretation

Nodes54
Edges53
Triples39
Avg. degree1.96
Density0.037037
Components1

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Abstract interpretation

Top relations

related to External links · 17
Abstract interpretation → C-like, David Schmidt's, Galois, Grégoire Sutre, MIT, Model-Checking, Patrick Cousot, Patrick CousotRoberto Bagnara's, POPL, Program Analysis, Schwarzbach's, Springer LNCS, Static Analysis Symposia, Static Program AnalysisAgostino Cortesi's, Verification, VerificationSlides, VMCAI
related to Intuition · 6
Abstract interpretation → Assume, Consider, Since, This, To, United States
related to Abstract interpretation of computer programs · 4
Abstract interpretation → For, Given, More, The
is a · 1
Abstract interpretation → theory of sound approximation of the semantics of computer programs
see also · 1
Abstract interpretation → Model

Important terminology Word statistics

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Important terminology

abstract displaystyle program abstraction interpretation semantics computer one possible may l' concrete programs set x' analysis domains information precision execution

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Abstract interpretationis atheory of sound approximation of the semantics of computer programs0.90text
Python or Haskell use unbounded integers by defaultinstance ofand high computational costs.Machine word abstract domainsWhile high-level languages0.80text
lower-level programming languages such as C or assembly language typically operate on finitely-sized machine wordsinstance ofand high computational costs.Machine word abstract domainsWhile high-level languages0.80text
which are more suitably modeled using the integers modulo 2 ninstance ofand high computational costs.Machine word abstract domainsWhile high-level languages0.80text
additioninstance ofAll three of these domains support forwards and backwards abstract operators for common operations0.80text
shiftsinstance ofAll three of these domains support forwards and backwards abstract operators for common operations0.80text
xorinstance ofAll three of these domains support forwards and backwards abstract operators for common operations0.80text
and multiplicationinstance ofAll three of these domains support forwards and backwards abstract operators for common operations0.80text
Python or Haskell use unbounded integers by defaultinstance ofMachine word abstract domainsWhile high-level languages0.80text
lower-level programming languages such as C or assembly language typically operate on finitely-sized machine wordsinstance ofMachine word abstract domainsWhile high-level languages0.80text
which are more suitably modeled using the integers modulo 2 ninstance ofMachine word abstract domainsWhile high-level languages0.80text
Abstract interpretationrelated to Abstract interpretation of computer programsGiven0.60section

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