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- W185875303 abstract "We study the complexity of validating XML documents against any given DTD in the context of streaming algorithms with external memory. We design a deterministic algorithm that solves this problem with memory space $O(log^2 N)$, a constant number of auxiliary read/write streams, and $O(log N)$ total number of passes on the XML document of size $N$ and auxiliary streams. An important intermediate step is the memory-efficient computation of the FCNS encoding of the initial XML document. Then, validity can already be decided in one-pass with memory space $O(sqrt{Nlog N})$, and no auxiliary streams. A second but reverse pass makes the memory space collapse to $O(log^2 N)$. This suggests a systematic use of the FCNS encoding for large XML documents, since, without this encoding, there are DTDs against which validating XML documents requires memory space $Omega(N/p)$ for any $p$-pass streaming algorithm without auxiliary streams, even if randomization is allowed. Last, for the special case of validating XML documents encoding binary trees, we give a deterministic one-pass algorithm with memory space $O(sqrt{N})$, and prove its optimality, up to a multiplicative constant, even if randomization is allowed." @default.
- W185875303 created "2016-06-24" @default.
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- W185875303 date "2010-12-15" @default.
- W185875303 modified "2023-09-27" @default.
- W185875303 title "The Streaming Complexity of Validating XML Documents" @default.
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