View-Augmented Abstractions

Authors:
Matt Elder;Denis Gopan;Thomas Reps
Affiliations:
Computer Sciences Department, Univ. of Wisconsin, Madison, WI, USA;GrammaTech, Inc., Ithaca, NY, USA;Computer Sciences Department, Univ. of Wisconsin, Madison, WI, USA and GrammaTech, Inc., Ithaca, NY, USA
Venue:
Electronic Notes in Theoretical Computer Science (ENTCS)
Year:
2010

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Abstract

This paper introduces view-augmented abstractions, which specialize an underlying numeric domain to focus on a particular expression or set of expressions. A view-augmented abstraction adds a set of materialized views to the original domain. View augmentation can extend a domain so that it captures information unavailable in the original domain. We show how to use finite differencing to maintain a materialized view in response to a transformation of the program state. Our experiments show that view augmentation can increase precision in useful ways.