The ROBDD size of simple CNF formulas

Michael Langberg, Amir Pnueli, Yoav Rodeh

نتاج البحث: فصل من :كتاب / تقرير / مؤتمرفصلمراجعة النظراء

ملخص

Reduced Ordered Binary Decision diagrams (ROBDDs) are nowadays one of the most common dynamic data structures for Boolean functions. Among the many areas of application are verification, model checking, and computer aided design. In the last few years, SAT checkers, based on the CNF representation of Boolean functions are getting more and more attention as an alternative to the ROBDD based methods. We show the difference between the CNF representation and the ROBDD representation in one of the most degenerate cases - random monotone 2CNF formulas. We examine this model and give almost matching lower and upper bounds for the ROBDD size in different cases, and show that as soon as the formulas are non-trivial the ROBDD size becomes exponential, thus showing perhaps one of the most fundamental advantages of SAT solvers over ROBDDs.

اللغة الأصليةالإنجليزيّة
عنوان منشور المضيفLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
المحررونDaniel Geist, Enrico Tronci
ناشرSpringer Verlag
الصفحات363-377
عدد الصفحات15
رقم المعيار الدولي للكتب (المطبوع)354020363X
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 2003
منشور خارجيًانعم

سلسلة المنشورات

الاسمLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
مستوى الصوت2860
رقم المعيار الدولي للدوريات (المطبوع)0302-9743
رقم المعيار الدولي للدوريات (الإلكتروني)1611-3349

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