An exponential lower bound for clique functions
An exponential lower bound on OBDD refutations for pigeonhole formulas
... Abstract. Haken proved that every resolution refutation of the pigeon hole formula has at least exponential size. Groote and Zantema proved that a particular OBDD computation of the pigeon hole formula has an ...
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An Exponential Lower Bound on OBDD Refutations for Pigeonhole Formulas
... an exponential lower bound for the size of OBDD refutations of the pigeonhole ...least exponential in ...and exponential in the OBDD refutation framework for pigeonhole formula is ...
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Exponential Memory-Bound Functions for Proof of Work Protocols
... memory-bound functions suitable to these protocols, in which the client-side work to compute the response is intrinsically exponential with respect to the server-side work needed to set or check the ...
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Some characterizations of error bound for non lower semicontinuous functions
... semicontinuous functions. Second, by using the two concepts, some characterizations of the existence of the global and local error bounds are given for the non-lower semicontinuous functions. ...
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A lower bound on the higher order nonlinearity of algebraic immune functions
... [7] N. Courtois. Fast algebraic attacks on stream ciphers with linear feedback. In Advances in Cryptology - CRYPTO 2003, number 2729 in Lecture Notes in Computer Science, pages 176–194. Springer Verlag, 2003. [8] D. K. ...
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Distribution-Free Testing Lower Bound for Basic Boolean Functions
... Distribution-free property testing A natural generalization of the notion of property testing is to consider a broader notion of the distance between functions. Given a probability distribution D over the domain, ...
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CiteSeerX — Lower bound for the poles of Igusa’s p-adic zeta functions
... Abstract Let K be a p-adic field, R the valuation ring of K, P the maximal ideal of R and q the cardinality of the residue field R/P . Let f be a polynomial over R in n > 1 variables and let χ be a character of R × . ...
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On the Boolean functions With Maximum Possible Algebraic Immunity : Construction and A Lower Bound of the Count
... Boolean functions With Maximum Possible Algebraic Immunity : Construction and A Lower Bound of the Count ...Boolean functions with maximum algebraic immunity(AI) from one such giving ...more ...
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Improved lower bound on the number of balanced symmetric functions over GF(p)
... Boolean functions is an interesting subclass of Boolean functions whose output depend only on the weight of the input ...These functions can be repre- sented in a very compact way both for their ...
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MINORS OF BOOLEAN FUNCTIONS WITH RESPECT TO CLIQUE FUNCTIONS AND HYPERGRAPH HOMOMORPHISMS
... For the sake of simplicity, we assume in most of our proofs that k is finite. Proofs for the case k = ∞ can be obtained with obvious changes, i.e., instead of considering a set of at most k elements, consider instead a ...
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Improving the lower bound on the higher order nonlinearity of Boolean functions with prescribed algebraic immunity
... BOOLEAN FUNCTIONS WITH PRESCRIBED ALGEBRAIC IMMUNITY SIHEM MESNAGER ...two lower bounds involving the algebraic immunity on the rth-order nonlinearity have been shown by Carlet et ...new lower ...
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On monotone circuits with local oracles and clique lower bounds
... Observe that, using the connections established in [10], this would be sufficient for exponential lower bounds on proof size. The reduction from randomized feasible interpolation actually provides a distri- ...
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Functions - Exponential Functions
... 10.4 Functions - Exponential Functions Objective: Solve exponential equations by finding a common ...involved functions. One pair of inverse functions we will look at are ...
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Exponential Functions
... taller and taller; and when moving to the left, the graph becomes shorter and shorter, shrinking towards, but never touching, the x-axis. Not only does the graph grow bigger as it moves to the right, but it gets big in a ...
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Exponential Functions
... the exponential function f ( x ) = b x has some very defining characteristics which make the graph Exponential functions can be grouped into two categories; exponential growth functions ...
EXPONENTIAL FUNCTIONS
... investigate exponential functions. Students study exponential functions of the form y = ab x ...of exponential functions, including graphs, tables, equations, and ...
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Exponential Functions
... The number a is called the base. This graph represents exponential growth since it is increasing as x increases.. It is shown dotted below.. Alternate representation for exponential dec[r] ...
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A sharp lower bound
... (n + 1 + 2(l − s))/3 and these bounds are sharp. We constructively characterize the trees achieving the lower bounds. 1 Introduction For various safeguard applications that use graphical models of facilities or ...
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An Exponential Tail Bound for the Deleted Estimate
... that exponential generalization bounds for the es- timated risk, which are optimal, can be only obtained through stringent, distribution independent and computationally in- tractable notions of stability such as ...
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Exponential and logarithm functions
... Exponential functions and logarithm functions are important in both theory and ...of exponential and logarithm functions, and see how they are ...
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