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Multi-party protocols

Published: 01 December 1983 Publication History

Abstract

Many different types of inter-process communication have been examined from a complexity point of view [SP, Y]. We study a new model, in which a collection of processes
P0, ..., Pk−1
that share information about a set of integers
{a0, ...,ak−1},
communicate to determine a 0-1 predicate of the numbers.
In this new model, tremendous sharing of information is allowed, while no single party is given enough information to determine the predicate on its own. Formally, each Pi has access to every aj except for ai. For simplicity, we only allow the parties to communicate as follows.

References

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A. Borodin, D. Dolev, F. Fich, W. Paul, "Bounds for width-2 branching programs." These proceedings.
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P. Erdös and R. Graham, Old and New Problems and Results in Combinatorial Number Theory. L'Enseignement Mathématique, Université de Genève, 1980.
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M. Furst, J. Saxe, M. Sipser, "Parity, circuits and the polynomial-time hierarchy." 22ndSymposium on the Foundations of Computer Science, 1981, pp. 260-270; To appear in Mathematical Systems Theory.
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K. Roth, "On certain sets of integers." J. London Math. Soc., 29, 1954, pp. 20-26.
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cover image ACM Conferences
STOC '83: Proceedings of the fifteenth annual ACM symposium on Theory of computing
December 1983
487 pages
Permission to make digital or hard copies of all or part 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 components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

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Published: 01 December 1983

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  • (2024)Boosting Uniformity in Quasirandom Groups: Fast and Simple2024 IEEE 65th Annual Symposium on Foundations of Computer Science (FOCS)10.1109/FOCS61266.2024.00091(1425-1430)Online publication date: 27-Oct-2024
  • (2023)Matrix Multiplication and Number on the Forehead CommunicationProceedings of the conference on Proceedings of the 38th Computational Complexity Conference10.4230/LIPIcs.CCC.2023.16(1-23)Online publication date: 17-Jul-2023
  • (2023)Toward Better Depth Lower Bounds: A KRW-like theorem for Strong Composition2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS)10.1109/FOCS57990.2023.00064(1056-1081)Online publication date: 6-Nov-2023
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