Complexity of Boolean Functions
نویسندگان
چکیده
s of Presentation: Paul Beame: Time-Space Tradeoffs and Multiparty Communication Complexity 9 Beate Bollig: Exponential Lower Bounds for Integer Multiplication Using Universal Hashing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 Philipp Wölfel: On k-wise l-mixed Boolean Functions . . . . . . . . . . . . . . 10 Elizabeta Okol’nishnikova: On One Lower Bound for Branching Programs . . 10 Stanislav Žák: Information Flow in Read-once Branching Programs . . . . . . 11 Jürgen Forster: Bounds on the Dimension and Margin of Arrangements of Half Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Hans Ulrich Simon: Some Observations Concerning the Rigidity of Matrices . 12 Denis Thérien: Communication Complexity of Regular Languages . . . . . . . 13 Eric Allender: Derandomization Through the Lens of Kolmogorov Complexity – Random Strings are Hard . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Michal Koucký: Universal Exploration Sequences . . . . . . . . . . . . . . . . 14 Valentine Kabanets: The Witness Complexity of Exponential Time . . . . . . . . 14 David A. Mix Barrington: Grid Graph Reachability Problems . . . . . . . . . 15 Stefan Lucks: On the Role of Complexity Theory in Cryptography . . . . . . . 15 Jovan Golic: Low Order Structures and Approximations of Boolean Functions . 16 Anna Gál: On the Size of Self-Avoiding Families – Lower Bounds for Monotone Span Programs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 Akira Maruoka: On derandomization of an algorithm to learn DNF . . . . . . 17 Eli Ben-Sasson: Hard Examples for Bounded Depth Frege . . . . . . . . . . . 17 Thomas Hofmeister: 3-SAT Algorithms with Running Time 1.3302 . . . . . . . 18 Andreas Goerdt: Special Unsatisfiability Algorithms on Random Instances . . . 18 Mikhail V. Alekhnovitch: Satisfiability and Bandwidth . . . . . . . . . . . . . 19 Thomas Thierauf: On the Minimal Polynomial of a Matrix . . . . . . . . . . . 20 Harry Buhrman: Quantum Fingerprinting . . . . . . . . . . . . . . . . . . . . 20 Detlef Sieling: Quantum Branching Programs: Simulations and Upper and Lower Bounds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Dieter van Melkebeek: On the Quantum Black-Box Complexity of Majority . . 22 Hartmut Klauck: Lower Bounds on Quantum Communication Complexity . . . 22
منابع مشابه
ON THE FUZZY SET THEORY AND AGGREGATION FUNCTIONS: HISTORY AND SOME RECENT ADVANCES
Several fuzzy connectives, including those proposed by Lotfi Zadeh, can be seen as linear extensions of the Boolean connectives from the scale ${0,1}$ into the scale $[0,1]$. We discuss these extensions, in particular, we focus on the dualities arising from the Boolean dualities. These dualities allow to transfer the results from some particular class of extended Boolean functions, e.g., from c...
متن کاملRésumés des cours et exposés
Heribert Vollmer : Boolean functions and Post’s lattice with applications to complexity theory. A Boolean functions f can be obtained from a set B of Boolean functions by superposition, if f can be written as a nested composition of functions from B. In the 1940’s, Emil Post determined the complete list of all sets of Boolean functions closed under superposition, and for each of them, he constr...
متن کاملThe Sample Complexity and Computational Complexity of Boolean Function Learning
This report surveys some key results on the learning of Boolean functions in a probabilistic model that is a generalization of the well-known ‘PAC’ model. A version of this is to appear as a chapter in a book on Boolean functions, but the report itself is relatively self-contained.
متن کاملOn Circuit Complexity of Parity and Majority Functions in Antichain Basis
We study the circuit complexity of boolean functions in a certain infinite basis. The basis consists of all functions that take value 1 on antichains over the boolean cube. We prove that the circuit complexity of the parity function and the majority function of n variables in this basis is b 2 c and ⌊ n 2 ⌋ +1 respectively. We show that the asymptotic of the maximum complexity of n-variable boo...
متن کاملOn Constant-Depth Canonical Boolean Circuits for Computing Multilinear Functions
We consider new complexity measures for the model of multilinear circuits with general multilinear gates introduced by Goldreich and Wigderson (ECCC, 2013). These complexity measures are related to the size of canonical constant-depth Boolean circuits, which extend the definition of canonical depth-three Boolean circuits. We obtain matching lower and upper bound on the size of canonical constan...
متن کاملThe number of boolean functions with multiplicative complexity 2
Multiplicative complexity is a complexity measure defined as the minimum number of AND gates required to implement a given primitive by a circuit over the basis (AND, XOR, NOT). Implementations of ciphers with a small number of AND gates are preferred in protocols for fully homomorphic encryption, multi-party computation and zero-knowledge proofs. In 2002, Fischer and Peralta [12] showed that t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002