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Additional info for ACM Transactions on Database Systems (March)
In order to obtain the final skyline, we need to remove those points that are dominated by some point in other partitions. Obviously all points in the skyline of s3 must appear in the final skyline, while those in s2 ACM Transactions on Database Systems, Vol. 30, No. 1, March 2005. Progressive Skyline Computation in Database Systems • 45 are discarded immediately because they are dominated by any point in s3 (in fact s2 needs to be considered only if s3 is empty). Each skyline point in s1 is compared only with points in s3 , because no point in s2 or s4 can dominate those in s1 .
A problem of BNL is that the list may become larger than the main memory. When this happens, all points falling in the third case (cases (i) and (ii) do not increase the list size) are added to a temporary file. This fact necessitates multiple passes of BNL. In particular, after the algorithm finishes scanning the data file, only points that were inserted in the list before the creation of the temporary file are guaranteed to be in the skyline and are output. The remaining points must be compared against the ones in the temporary file.
In Proceedings of ACM PODS. 413–424. MAKOTO, M. 2001. RELAX (Regular Language description for XML). ISO/IEC Tech. Rep. ISO/IEC, Geneva, Switzerland. , AND VIANU, V. 2000. Typechecking for XML transformers. In Proceedings of ACM PODS. 11–22. MITCHELL, J. C. 1990. Type systems for programming languages. In Handbook of Theoretical Computer Science: Volume B: Formal Models and Semantics, J. van Leeuwen, Ed. Elsevier, Amsterdam, The Netherlands, 365–458. ACM Transactions on Database Systems, Vol. 30, No.