Matches in SemOpenAlex for { <https://semopenalex.org/work/W2800512816> ?p ?o ?g. }
- W2800512816 abstract "We describe a new algorithm, Minesweeper, that is able to satisfy stronger runtime guarantees than previous join algorithms (colloquially, `beyond worst-case guarantees') for data in indexed search trees. Our first contribution is developing a framework to measure this stronger notion of complexity, which we call {it certificate complexity}, that extends notions of Barbay et al. and Demaine et al.; a certificate is a set of propositional formulae that certifies that the output is correct. This notion captures a natural class of join algorithms. In addition, the certificate allows us to define a strictly stronger notion of runtime complexity than traditional worst-case guarantees. Our second contribution is to develop a dichotomy theorem for the certificate-based notion of complexity. Roughly, we show that Minesweeper evaluates $beta$-acyclic queries in time linear in the certificate plus the output size, while for any $beta$-cyclic query there is some instance that takes superlinear time in the certificate (and for which the output is no larger than the certificate size). We also extend our certificate-complexity analysis to queries with bounded treewidth and the triangle query." @default.
- W2800512816 created "2018-05-17" @default.
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- W2800512816 date "2013-02-05" @default.
- W2800512816 modified "2023-10-18" @default.
- W2800512816 title "Removing the Haystack to Find the Needle(s): Minesweeper, an adaptive join algorithm" @default.
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