803 lines
23 KiB
BibTeX
803 lines
23 KiB
BibTeX
@article{CHEN20061346,
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title = {Strong computational lower bounds via parameterized complexity},
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journal = {Journal of Computer and System Sciences},
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volume = {72},
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number = {8},
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pages = {1346-1367},
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year = {2006},
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issn = {0022-0000},
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doi = {https://doi.org/10.1016/j.jcss.2006.04.007},
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url = {https://www.sciencedirect.com/science/article/pii/S0022000006000675},
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author = {Jianer Chen and Xiuzhen Huang and Iyad A. Kanj and Ge Xia},
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keywords = {Parameterized computation, Computational complexity, Lower bound, Clique, Polynomial time approximation scheme},
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abstract = {We develop new techniques for deriving strong computational lower bounds for a class of well-known NP-hard problems. This class includes weighted satisfiability, dominating set, hitting set, set cover, clique, and independent set. For example, although a trivial enumeration can easily test in time O(nk) if a given graph of n vertices has a clique of size k, we prove that unless an unlikely collapse occurs in parameterized complexity theory, the problem is not solvable in time f(k)no(k) for any function f, even if we restrict the parameter values to be bounded by an arbitrarily small function of n. Under the same assumption, we prove that even if we restrict the parameter values k to be of the order Θ(μ(n)) for any reasonable function μ, no algorithm of running time no(k) can test if a graph of n vertices has a clique of size k. Similar strong lower bounds on the computational complexity are also derived for other NP-hard problems in the above class. Our techniques can be further extended to derive computational lower bounds on polynomial time approximation schemes for NP-hard optimization problems. For example, we prove that the NP-hard distinguishing substring selection problem, for which a polynomial time approximation scheme has been recently developed, has no polynomial time approximation schemes of running time f(1/ϵ)no(1/ϵ) for any function f unless an unlikely collapse occurs in parameterized complexity theory.}
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}
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@inproceedings{10.5555/645413.652181,
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author = {Flum, J\"{o}rg and Grohe, Martin},
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title = {The Parameterized Complexity of Counting Problems},
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year = {2002},
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isbn = {0769518222},
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publisher = {IEEE Computer Society},
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address = {USA},
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abstract = {We develop a parameterized complexity theory for counting problems. As the basis of this theory, we introduce a hierarchy of parameterized counting complexity classes #W[t], for t geqslant 1 , that corresponds to Downey and Fellows's W-hierarchy [12] and show that a few central W-completeness results for decision problems translate to #W-completeness results for the corresponding counting problems.Counting complexity gets interesting with problems whose decision version is tractable, but whose counting version is hard. Our main result states that counting cycles and paths of length k in both directed and undirected graphs, parameterized by k , is#W[1]-complete. This makes it highly unlikely that any of these problems is fixed-parameter tractable, even though their decision versions are fixed-parameter tractable. More explicitly, our result shows that most likely there is no f(k) cdot n^c-algorithm for counting cycles or paths of length k in a graph of size n for any computable function f: mathbb{N} to mathbb{N} and constant c , even though there is a 2^{0(k)}cdot n^{2.376}algorithm for finding a cycle or path of length k [2].},
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booktitle = {Proceedings of the 43rd Symposium on Foundations of Computer Science},
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pages = {538},
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series = {FOCS '02}
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}
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misc{pdbench,
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howpublished = {r̆lhttp://pdbench.sourceforge.net/},
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note = {Accessed: 2020-12-15},
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title = {pdbench}
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}
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@article{AF18,
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author = {Arab, Bahareh and Feng, Su and Glavic, Boris and Lee, Seokki and Niu, Xing and Zeng, Qitian},
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journal = {IEEE Data Eng. Bull.},
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number = {1},
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pages = {51--62},
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title = {GProM - A Swiss Army Knife for Your Provenance Needs},
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volume = {41},
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year = {2018}
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}
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@inproceedings{Imielinski1989IncompleteII,
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title={Incomplete Information in Relational Databases},
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author={T. Imielinski and W. Lipski},
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year={1989}
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}
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@inproceedings{10.1145/1265530.1265571,
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author = {Dalvi, Nilesh and Suciu, Dan},
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booktitle = {PODS},
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numpages = {10},
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pages = {293--302},
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title = {The Dichotomy of Conjunctive Queries on Probabilistic Structures},
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year = {2007}
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}
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@inproceedings{DBLP:conf/icde/OlteanuHK10,
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author = {Dan Olteanu and
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Jiewen Huang and
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Christoph Koch},
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booktitle = {ICDE},
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pages = {145--156},
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title = {Approximate confidence computation in probabilistic databases},
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year = {2010}
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}
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@book{DBLP:series/synthesis/2011Suciu,
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author = {Dan Suciu and
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Dan Olteanu and
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Christopher Ré and
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Christoph Koch},
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publisher = {Morgan \& Claypool Publishers},
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title = {Probabilistic Databases},
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year = {2011}
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}
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@inproceedings{feng:2019:sigmod:uncertainty,
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author = {Feng, Su and Huber, Aaron and Glavic, Boris and Kennedy, Oliver},
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booktitle = {SIGMOD},
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title = {Uncertainty Annotated Databases - A Lightweight Approach for Approximating Certain Answers},
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year = {2019}
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}
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@article{FH12,
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author = {Fink, Robert and Han, Larisa and Olteanu, Dan},
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journal = {PVLDB},
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number = {5},
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pages = {490--501},
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title = {Aggregation in probabilistic databases via knowledge compilation},
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volume = {5},
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year = {2012}
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}
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@inproceedings{DBLP:conf/tapp/Zavodny11,
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author = {Jakub Závodný},
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booktitle = {TaPP},
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title = {On Factorisation of Provenance Polynomials},
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year = {2011}
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}
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@inproceedings{kennedy:2010:icde:pip,
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author = {Kennedy, Oliver and Koch, Christoph},
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booktitle = {ICDE},
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title = {PIP: A Database System for Great and Small Expectations},
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year = {2010}
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}
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@inproceedings{DBLP:conf/icde/AntovaKO07a,
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author = {Lyublena Antova and
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Christoph Koch and
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Dan Olteanu},
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booktitle = {ICDE},
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title = {MayBMS: Managing Incomplete Information with Probabilistic World-Set
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Decompositions},
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year = {2007}
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}
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@misc{Antova_fastand,
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author = {Lyublena Antova and Thomas Jansen and Christoph Koch and Dan Olteanu},
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title = {Fast and Simple Relational Processing of Uncertain Data},
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year = {}
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}
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@inproceedings{DBLP:conf/pods/KhamisNR16,
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author = {Mahmoud Abo Khamis and
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Hung Q. Ngo and
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Atri Rudra},
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booktitle = {PODS},
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pages = {13--28},
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title = {FAQ: Questions Asked Frequently},
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year = {2016}
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}
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@article{DBLP:journals/sigmod/GuagliardoL17,
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author = {Paolo Guagliardo and
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Leonid Libkin},
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journal = {SIGMOD Rec.},
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number = {3},
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pages = {5--16},
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title = {Correctness of SQL Queries on Databases with Nulls},
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volume = {46},
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year = {2017}
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}
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@inproceedings{DBLP:conf/vldb/AgrawalBSHNSW06,
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author = {Parag Agrawal and
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Omar Benjelloun and
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Anish Das Sarma and
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Chris Hayworth and
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Shubha U. Nabar and
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Tomoe Sugihara and
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Jennifer Widom},
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booktitle = {VLDB},
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pages = {1151--1154},
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title = {Trio: A System for Data, Uncertainty, and Lineage},
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year = {2006}
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}
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@inproceedings{k-match,
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author = {Radu Curticapean},
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booktitle = {ICALP},
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pages = {352--363},
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title = {Counting Matchings of Size k Is W[1]-Hard},
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volume = {7965},
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year = {2013}
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}
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@inproceedings{DBLP:conf/sigmod/SinghMMPHS08,
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author = {Sarvjeet Singh and
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Chris Mayfield and
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Sagar Mittal and
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Sunil Prabhakar and
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Susanne E. Hambrusch and
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Rahul Shah},
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booktitle = {SIGMOD},
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pages = {1239--1242},
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title = {Orion 2.0: native support for uncertain data},
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year = {2008}
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}
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@inproceedings{DBLP:conf/pods/GreenKT07,
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author = {Todd J. Green and
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Gregory Karvounarakis and
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Val Tannen},
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booktitle = {PODS},
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pages = {31--40},
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title = {Provenance semirings},
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year = {2007}
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}
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@inproceedings{ngo-survey,
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author = {Hung Q. Ngo},
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booktitle = {PODS},
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title = {Worst-Case Optimal Join Algorithms: Techniques, Results, and Open
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Problems},
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year = {2018}
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}
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@article{skew,
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author = {Hung Q. Ngo and
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Christopher Ré and
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Atri Rudra},
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journal = {SIGMOD Rec.},
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number = {4},
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pages = {5--16},
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title = {Skew strikes back: new developments in the theory of join algorithms},
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volume = {42},
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year = {2013}
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}
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@article{NPRR,
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author = {Hung Q. Ngo and
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Ely Porat and
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Christopher Ré and
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Atri Rudra},
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journal = {J. ACM},
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number = {3},
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pages = {16:1--16:40},
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title = {Worst-case Optimal Join Algorithms},
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volume = {65},
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year = {2018}
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}
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@book{arith-complexity,
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author = {Peter Bürgisser and
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Michael Clausen and
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Mohammad Amin Shokrollahi},
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publisher = {Springer},
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title = {Algebraic complexity theory},
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year = {1997}
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}
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@inproceedings{triang-hard,
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author = {Tsvi Kopelowitz and
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Virginia Vassilevska Williams},
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booktitle = {ICALP},
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pages = {74:1--74:16},
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title = {Towards Optimal Set-Disjointness and Set-Intersection Data Structures},
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volume = {168},
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year = {2020}
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}
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@article{LL97,
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author = {Lakshmanan, L.V.S. and Leone, N. and Ross, R. and Subrahmanian, VS},
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journal = {TODS},
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number = {3},
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}
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@article{jha-13-kcmdt,
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author = {Jha, Abhay and Suciu, Dan},
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title = {Knowledge Compilation Meets Database Theory: Compiling Queries
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To Decision Diagrams},
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journal = {Theory of Computing Systems},
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volume = 52,
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number = 3,
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pages = {403--440},
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year = 2013,
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}
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@inproceedings{BS06,
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author = {Omar Benjelloun and Anish Das Sarma and Alon Y. Halevy and Jennifer Widom},
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booktitle = {VLDB},
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pages = {953--964},
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title = {ULDBs: Databases with Uncertainty and Lineage},
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year = {2006}
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}
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@conference{RS07,
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author = {Ré, C. and Suciu, D.},
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booktitle = {VLDB},
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pages = {51--62},
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title = {Materialized views in probabilistic databases: for information exchange and query optimization},
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}
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@article{VS17,
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Author = {Van den Broeck, Guy and Suciu, Dan},
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Title = {Query Processing on Probabilistic Data: A Survey},
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Year = {2017},
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}
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@incollection{GT06,
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pages = {278--296},
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title = {Models for incomplete and probabilistic information},
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year = {2006}
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}
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@article{IL84a,
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author = {Imieli\'nski, Tomasz and Lipski Jr, Witold},
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journal = {JACM},
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number = {4},
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pages = {761--791},
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title = {Incomplete Information in Relational Databases},
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}
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@article{DS12,
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author = {Dalvi, Nilesh and Suciu, Dan},
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journal = {JACM},
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number = {6},
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pages = {30},
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title = {The dichotomy of probabilistic inference for unions of conjunctive queries},
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@inproceedings{heuvel-19-anappdsd,
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author = {Maarten Van den Heuvel and Peter Ivanov and Wolfgang Gatterbauer and Floris Geerts and Martin Theobald},
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booktitle = {SIGMOD},
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}
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@article{AB15,
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author = {Amarilli, Antoine and Bourhis, Pierre and Senellart, Pierre},
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journal = {PODS},
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year = {2015}
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}
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@inproceedings{OH09a,
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author = {Olteanu, Dan and Huang, Jiewen},
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year = {2009}
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}
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@article{FO16,
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}
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@article{FH13,
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author = {Robert Fink and Jiewen Huang and Dan Olteanu},
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number = {6},
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@article{gatterbauer-17-dpaplinws,
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author = {Wolfgang Gatterbauer and Dan Suciu},
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title = {Dissociation and Propagation for Approximate Lifted Inference
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With Standard Relational Database Management Systems},
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@inproceedings{fink-11,
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@conference{BD05,
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author = {Boulos, J. and Dalvi, N. and Mandhani, B. and Mathur, S. and Re, C. and Suciu, D.},
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