Lower bounds for one-way probabilistic communication complexity and their application to space complexity
نویسندگان
چکیده
منابع مشابه
Lower Bounds for One-way Probabilistic Communication Complexity
We prove three diierent types of complexity lower bounds for the one-way unbounded-error and bounded-error error probabilistic communication protocols for boolean functions. The lower bounds are proved in terms of the deterministic communication complexity of functions and in terms of the notion \probabilistic communication characteristic" that we deene. We present boolean functions with the di...
متن کاملLower Bounds for Probabilistic Space Complexity: Communication-Automata Approach
Multiplicative Linear Logic for Resource Transformation Nets p. 81 The Parameterized Complexity of Some Problems in Logic and Linguistics p. 89 Foundations of Proof Search Strategies Design in Linear Logic p. 101 On Extreme Points of Convex Compact Turing Located Set p. 114 Application of Typed Lambda Calculi in the Untyped Lambda Calculus p. 129 Classes with Pairwise Equivalent Enumerations p....
متن کاملNew bounds on classical and quantum one-way communication complexity
In this paper we provide new bounds on classical and quantum distributional communication complexity in the two-party, one-way model of communication. In the classical one-way model, our bound extends the well known upper bound of Kremer, Nisan and Ron [KNR95] to include non-product distributions. Let ǫ ∈ (0, 1/2) be a constant. We show that for a boolean function f : X ×Y → {0, 1} and a non-pr...
متن کاملLower Bounds on Communication Complexity ∗
A notion of ”communication complexity” is used to formally measure the degree to which a Boolean function is ”global”. An explicit combinatorial lower bound for this complexity measure is presented. In particular, this leads to an exp(Ω( √ n)) lower bound on the complexity of depth-restricted contact schemes computing some natural Boolean functions in NP.
متن کاملLower Bounds in Communication Complexity
The communication complexity of a function f(x, y) measures the number of bits that two players, one who knows x and the other who knows y, must exchange to determine the value f(x, y). Communication complexity is a fundamental measure of complexity of functions. Lower bounds on this measure lead to lower bounds on many other measures of computational complexity. This monograph survey lower bou...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1996
ISSN: 0304-3975
DOI: 10.1016/0304-3975(95)00157-3