Abstract interpretation over non-lattice abstract domains

Graeme Gange, Jorge A. Navas, Peter Schachte, Harald Søndergaard, Peter J. Stuckey

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

17 Citations (Scopus)


The classical theoretical framework for static analysis of programs is abstract interpretation. Much of the power and elegance of that framework rests on the assumption that an abstract domain is a lattice. Nonetheless, and for good reason, the literature on program analysis provides many examples of non-lattice domains, including non-convex numeric domains. The lack of domain structure, however, has negative consequences, both for the precision of program analysis and for the termination of standard Kleene iteration. In this paper we explore these consequences and present general remedies.

Original languageEnglish
Title of host publicationStatic Analysis - 20th International Symposium, SAS 2013, Proceedings
Number of pages19
ISBN (Print)9783642388552
Publication statusPublished - 26 Sept 2013
Externally publishedYes
EventStatic Analysis Symposium 2013 - Seattle, United States of America
Duration: 20 Jun 201322 Jun 2013
Conference number: 20th
https://link.springer.com/book/10.1007/978-3-642-38856-9 (Proceedings)

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7935 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


ConferenceStatic Analysis Symposium 2013
Abbreviated titleSAS 2013
Country/TerritoryUnited States of America
Internet address

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