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Grids: A Domain for Analyzing the Distribution of Numerical Values
Roberto Bagnara
Katy Dobson
Patricia M. Hill
Matthew Mundell
Enea Zaffanella
AbstractThis paper explores the abstract domain of grids, a domain that is able to represent sets of equally spaced points and hyperplanes over an n-dimensional vector space. Such a domain is useful for the static analysis of the patterns of distribution of the values program variables can take. We present the domain, its representation and the basic operations on grids necessary to define the abstract semantics. We show how the definition of the domain and its operations exploit well-known techniques from linear algebra as well as a dual representation that allows, among other things, for a concise and efficient implementation.
Available: PDF, 300 DPI, 600 DPI, and 1200 DPI PostScript, DVI, BibTeX entry. [Page last updated on December 18, 2006, 18:58:10.] |
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bagnara@cs.unipr.it |
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