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Abstract Interpretation and Abstract Domains

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Student Thesis


Abstract

This thesis is a survey on a framework for program analysis known as Ab stract interpretation. Abstract interpretation uses abstract semantics to obtain important properties of programs. Different abstract semantics can be used in a bstract interpretation, to obtain different properties. For instance there are semantics that spots upper and lower limits for the values of the variables of the program. These different semantics are called abstract domains and this thesis is meant to summarize different numerical abstract domains as well as give mathematical properties to them. The thesis also offers a small survey of free software libraries that implements abstract domains. Special attention will be given to the congruence domain. The congruence domain was implemented in a program analysis tool developed at Mälardalen University. In the congruence domain the property "variable x is always congruent to n modulo m" is obtained. Abstract operators for this domain are presented and new bit-operators are introduced.

Bibtex

@mastersthesis{Bygde948,
author = {Stefan Bygde},
title = {Abstract Interpretation and Abstract Domains},
number = {1128},
month = {June},
year = {2006},
url = {http://www.es.mdh.se/publications/948-}
}