TY - JOUR
T1 - Single-bit messages are insufficient for data link over duplicating channels
AU - Engelhardt, Kai
AU - Moses, Yoram
N1 - Funding Information:
✩ A preliminary version appeared as [K. Engelhardt, Y. Moses, Single-bit messages are insufficient in the presence of duplication, in: A. Pal, A. Kshemkalyani, R. Kumar, A. Gupta (Eds.), 7th International Workshop on Distributed Computing IWDC 2005, in: Lecture Notes in Comput. Sci., vol. 3741, Springer-Verlag, 2005]. Work was partially supported by ARC Discovery Grant RM02036. * Corresponding author. E-mail addresses: [email protected] (K. Engelhardt), [email protected] (Y. Moses).
Funding Information:
1 National ICT Australia is funded through the Australian Government’s Backing Australia’s Ability initiative, in part through the Australian Research Council.
PY - 2008/8/31
Y1 - 2008/8/31
N2 - Fekete and Lynch have proved that reliable end-to-end communication is impossible for lossy FIFO channels without messages containing header information. The results of Wang and Zuck show that, in non-FIFO models with duplication or loss, reliable end-to-end communication is impossible unless the number of different packet types is greater than the number of messages sequences that can be transmitted. An asynchronous, bidirectional, reliable, FIFO channel that may duplicate messages, while single-bit protocols can transmit a binary value over a duplicating channel. The result implies that these cannot be composed to implement a data-link layer, without using a larger set of message types.
AB - Fekete and Lynch have proved that reliable end-to-end communication is impossible for lossy FIFO channels without messages containing header information. The results of Wang and Zuck show that, in non-FIFO models with duplication or loss, reliable end-to-end communication is impossible unless the number of different packet types is greater than the number of messages sequences that can be transmitted. An asynchronous, bidirectional, reliable, FIFO channel that may duplicate messages, while single-bit protocols can transmit a binary value over a duplicating channel. The result implies that these cannot be composed to implement a data-link layer, without using a larger set of message types.
KW - Distributed systems
UR - http://www.scopus.com/inward/record.url?scp=48049112423&partnerID=8YFLogxK
U2 - 10.1016/j.ipl.2008.03.010
DO - 10.1016/j.ipl.2008.03.010
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AN - SCOPUS:48049112423
SN - 0020-0190
VL - 107
SP - 235
EP - 239
JO - Information Processing Letters
JF - Information Processing Letters
IS - 6
ER -