On the minimal hardware complexity of pseudorandom function generators

M Krause, S Lucks - STACS 2001: 18th Annual Symposium on Theoretical …, 2001 - Springer
A set F of Boolean functions is called a pseudorandom function gen-erator (PRFG) if
communicating with a randomly chosen secret function from F cannot be efficiently …

Pseudorandom functions in and cryptographic limitations to proving lower bounds

M Krause, S Lucks - computational complexity, 2001 - Springer
This paper investigates which complexity classes inside NC can contain pseudorandom
function generators (PRFGs). Under the Decisional Diffie-Hellman assumption (a common …

Cryptographic lower bounds for learnability of boolean functions on the uniform distribution

M Kharitonov - Proceedings of the fifth annual workshop on …, 1992 - dl.acm.org
We investigate cryptographic lower bounds on the number of samples and on computational
resources required to learn several classes of boolean circuits on the uniform distribution …

Optimal cryptographic hardness of learning monotone functions

D Dachman-Soled, HK Lee, T Malkin, RA Servedio… - 2009 - academicworks.cuny.edu
Over the years a range of positive algorithmic results have been obtained for learning
various classes of monotone Boolean functions from uniformly distributed random examples …

Optimal cryptographic hardness of learning monotone functions

D Dachman-Soled, HK Lee, T Malkin… - … Colloquium on Automata …, 2008 - Springer
A wide range of positive and negative results have been established for learning different
classes of Boolean functions from uniformly distributed random examples. However …

Exact learning algorithms, betting games, and circuit lower bounds

RC Harkins, JM Hitchcock - ACM Transactions on Computation Theory …, 2013 - dl.acm.org
This article extends and improves the work of Fortnow and Klivans [2009], who showed that
if a circuit class C has an efficient learning algorithm in Angluin's model of exact learning via …

Cryptographic limitations on learning boolean formulae and finite automata

M Kearns, L Valiant - Journal of the ACM (JACM), 1994 - dl.acm.org
In this paper, we prove the intractability of learning several classes of Boolean functions in
the distribution-free model (also called the Probably Approximately Correct or PAC model) of …

Constrained pseudorandom functions: verifiable and delegatable

N Chandran, S Raghuraman… - Cryptology ePrint …, 2014 - eprint.iacr.org
Constrained pseudorandom functions (introduced independently by Boneh and Waters
(CCS 2013), Boyle, Goldwasser, and Ivan (PKC 2014), and Kiayias, Papadopoulos …

Verifiable random functions

S Micali, M Rabin, S Vadhan - 40th annual symposium on …, 1999 - ieeexplore.ieee.org
We efficiently combine unpredictability and verifiability by extending the Goldreich-
Goldwasser-Micali (1986) construction of pseudorandom functions f/sub s/from a secret …

[PDF][PDF] Cryptographic hardness of distribution-specific learning

M Kharitonov - Proceedings of the twenty-fifth annual ACM symposium …, 1993 - dl.acm.org
We investigate cryptographic lower bounds on the learnability of Boolean formulas and
constant depth circuits on the {niform distribution and other specifi; distributions. We first …