Range and Set Abstraction using SAT

Barrett, Edd and King, Andy (2012) Range and Set Abstraction using SAT. Electronic Notes in Theoretical Computer Science, 267 (1). pp. 93-107. ISSN 978-3-642-32468-0. (Full text available)

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Abstract

Symbolic decision trees are not the only way to correlate the relationship between flags and numeric variables. Boolean formulae can also represent such relationships where the integer variables are modelled with bit-vectors of propositional variables. Boolean formulae can be composed to express the semantics of a block and program state, but they are hardly tractable, hence the need to compute their abstractions. This paper shows how incremental SAT can be applied to derive range and set abstractions for bit-vectors that are constrained by Boolean formulae.

Item Type: Article
Uncontrolled keywords: range analysis, interval analysis, binary analysis, linear optimisation
Subjects: Q Science > QA Mathematics (inc Computing science) > QA564 Algebraic Geometry
Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Q Science > QA Mathematics (inc Computing science) > QA 9 Formal systems, logics
Divisions: Faculties > Science Technology and Medical Studies > School of Computing > Programming Languages and Systems Group
Depositing User: E. Barrett
Date Deposited: 21 Sep 2012 09:49
Last Modified: 26 Sep 2012 13:36
Resource URI: http://kar.kent.ac.uk/id/eprint/30621 (The current URI for this page, for reference purposes)
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