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Inclusion–exclusion for k-CNF formulas

✍ Scribed by Kazuyuki Amano; Kazuo Iwama; Akira Maruoka; Kenshi Matsuo; Akihiro Matsuura


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
120 KB
Volume
87
Category
Article
ISSN
0020-0190

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✦ Synopsis


We show that the number of satisfying assignments of a k-CNF formula is determined uniquely from the numbers of unsatisfying assignments for clause-sets of size up to log k + 2. This amount of information is also shown to be necessary.


📜 SIMILAR VOLUMES


On an inclusion-exclusion formula based
✍ T Watanabe; S.G Monanty 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 385 KB

The n-candidate ballot problem corresponding to the standard Young tableau has been solved recently by Zeilberger (Discrete Math. 44 (1983) 325-326) by using the reflection p "rmciple. In this paper, a refinement of Zeilberger's approach is provided in which the reflection principle is formulated th