NDLI: Decision diagrams for linear arithmetic

Content Provider	IEEE Xplore Digital Library
Author	Chaki, S. Gurfinkel, A. Strichman, O.
Copyright Year	2009
Description	Author affiliation: Technion (Strichman, O.) \|\| SEI/CMU (Chaki, S.; Gurfinkel, A.)
Abstract	Boolean manipulation and existential quantification of numeric variables from linear arithmetic (LA) formulas is at the core of many program analysis and software model checking techniques (e.g., predicate abstraction). We present a new data structure, Linear Decision Diagrams (LDDs), to represent formulas in LA and its fragments, which has certain properties that make it efficient for such tasks. LDDs can be seen as an extension of Difference Decision Diagrams (DDDs) to full LA. Beyond this extension, we make three key contributions. First, we extend sifting-based dynamic variable ordering (DVO) from BDDs to LDDs. Second, we develop, implement, and evaluate several algorithms for existential quantification. Third, we implement LDDs inside CUDD, a state-of-the-art BDD package, and evaluate them on a large benchmark consisting of 850 functions derived from the source code of 25 open source programs. Overall, our experiments indicate that LDDs are an effective data structure for program analysis tasks.
Starting Page	53
Ending Page	60
File Size	550499
Page Count	8
File Format	PDF
ISBN	9781424449668
DOI	10.1109/FMCAD.2009.5351143
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-11-15
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Boolean functions Image analysis Instruments Binary decision diagrams Computer applications Packaging Data structures Dynamic programming Logic Arithmetic
Content Type	Text
Resource Type	Article

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