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APF: fast network all-pair reachability calculation

Published: 23 July 2018 Publication History
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  • Abstract

    Network verification, which is mainly about checking network states against network invariants or operator beliefs, has been a popular research thesis recently. Fast calculation of all-pair reachability of the network beforehand for further query or overall analysis can be a huge assistance to network verification. In this paper, we propose a new fast all-pair reachability calculation algorithm Atomic Predicates Flooding(APF). Experiments on real-life datasets show that the new algorithm based on network atomization is about three to four orders of magnitude faster than existing algorithms without network atomization. On most kinds of datasets, APF is even 2 to 5 times faster than the Warshall based all pair reachability algorithm with atomization. We believe that our method is essential for developing more practical and more efficient network and verification tools.

    References

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    Thomas H Cormen, Charles E Leiserson, and Ronald L Rivest. 1990. The floyd-warshall algorithm. Introduction to Algorithms (1990), 558--565.
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    Peyman Kazemian, George Varghese, and NickMcKeown. 2012. Header Space Analysis: Static Checking for Networks. In NSDI.
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    Ahmed Khurshid, Wenxuan Zhou, Matthew Caesar, and Brighten Godfrey. 2012. VeriFlow: verifying network-wide invariants in real time. Computer Communication Review 42 (2012), 467--472.
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    Nuno P. Lopes, Nikolaj Bjørner, Patrice Godefroid, Karthick Jayaraman, and George Varghese. 2015. Checking Beliefs in Dynamic Networks. In NSDI.
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    Hongkun Yang and Simon S. Lam. 2013. Real-Time Verification of Network Properties Using Atomic Predicates. 2013 21st IEEE International Conference on Network Protocols (ICNP) (2013), 1--11.
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    Hongyi Zeng, Peyman Kazemian, George Varghese, and Nick McKeown. 2012. Automatic Test Packet Generation. IEEE/ACM Transactions on Networking 22 (2012), 554--566.

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    cover image ACM Conferences
    ANCS '18: Proceedings of the 2018 Symposium on Architectures for Networking and Communications Systems
    July 2018
    181 pages
    ISBN:9781450359023
    DOI:10.1145/3230718
    Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 23 July 2018

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    Overall Acceptance Rate 88 of 314 submissions, 28%

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