This paper gives a brief overview of computation models for data stream processing, and it introduces a new model for multi-pass processing of multiple streams, the so-called \emph{mp2s-automata}. Two algorithms for solving the set disjointness problem with these automata are presented. The main technical contribution of this paper is the proof of a lower bound on the size of memory and the number of heads that are required for solving the set disjointness problem with mp2s-automata.
@InProceedings{schweikardt:LIPIcs.STACS.2009.1857, author = {Schweikardt, Nicole}, title = {{Lower Bounds for Multi-Pass Processing of Multiple Data Streams}}, booktitle = {26th International Symposium on Theoretical Aspects of Computer Science}, pages = {51--62}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-09-5}, ISSN = {1868-8969}, year = {2009}, volume = {3}, editor = {Albers, Susanne and Marion, Jean-Yves}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2009.1857}, URN = {urn:nbn:de:0030-drops-18575}, doi = {10.4230/LIPIcs.STACS.2009.1857}, annote = {Keywords: Data streams, Lower bounds, Machine models, Automata, The set disjointness problem} }
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