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Thomas M. hide and B. Gopinatb The papers during this quantity are the contributions to a unique workshop on difficulties in communique and computation performed within the summers of 1984 and 1985 in Morristown, New Jersey, and the summer time of 1986 in Palo Alto. California. The constitution of this workshop used to be precise: no fresh effects. no surveys. as a substitute. we requested for notable open prob~ lems within the box. there are numerous recognized open difficulties, together with the query P = NP?, the simplex conjecture in communique idea, the capability zone of the published channel. and the two·helper challenge in info idea. past those well-defined difficulties are yes grand study pursuits. what's the common concept of knowledge stream in stochastic networks? what's a finished conception of computational complexity? What a couple of unification of algorithmic complexity and computational complicated­ ity? Is there a concept of energy-free computation? And if that is so, the place do details idea, verbal exchange concept, laptop technological know-how, and physics meet on the atomic point? Is there a duality among computation and communique? ultimately. what's the final influence of algorithmic com­ plexity on likelihood conception? and what's its dating to details idea? the assumption used to be to give difficulties at the first day. try and resolve them at the moment day, and current the ideas at the 3rd day. on the contrary, just one challenge used to be solved in the course of the assembly -- El Gamal's prob· lem on noisy verbal exchange over a typical line.

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