TY - CONF
AB - Several cryptographic schemes and applications are based on functions that are both reasonably efficient to compute and moderately hard to invert, including client puzzles for Denial-of-Service protection, password protection via salted hashes, or recent proof-of-work blockchain systems. Despite their wide use, a definition of this concept has not yet been distilled and formalized explicitly. Instead, either the applications are proven directly based on the assumptions underlying the function, or some property of the function is proven, but the security of the application is argued only informally. The goal of this work is to provide a (universal) definition that decouples the efforts of designing new moderately hard functions and of building protocols based on them, serving as an interface between the two. On a technical level, beyond the mentioned definitions, we instantiate the model for four different notions of hardness. We extend the work of Alwen and Serbinenko (STOC 2015) by providing a general tool for proving security for the first notion of memory-hard functions that allows for provably secure applications. The tool allows us to recover all of the graph-theoretic techniques developed for proving security under the older, non-composable, notion of security used by Alwen and Serbinenko. As an application of our definition of moderately hard functions, we prove the security of two different schemes for proofs of effort (PoE). We also formalize and instantiate the concept of a non-interactive proof of effort (niPoE), in which the proof is not bound to a particular communication context but rather any bit-string chosen by the prover.
AU - Alwen, Joel F
AU - Tackmann, Björn
ED - Kalai, Yael
ED - Reyzin, Leonid
ID - 609
SN - 978-331970499-9
TI - Moderately hard functions: Definition, instantiations, and applications
VL - 10677
ER -
TY - JOUR
AB - The fact that the complete graph K5 does not embed in the plane has been generalized in two independent directions. On the one hand, the solution of the classical Heawood problem for graphs on surfaces established that the complete graph Kn embeds in a closed surface M (other than the Klein bottle) if and only if (n−3)(n−4) ≤ 6b1(M), where b1(M) is the first Z2-Betti number of M. On the other hand, van Kampen and Flores proved that the k-skeleton of the n-dimensional simplex (the higher-dimensional analogue of Kn+1) embeds in R2k if and only if n ≤ 2k + 1. Two decades ago, Kühnel conjectured that the k-skeleton of the n-simplex embeds in a compact, (k − 1)-connected 2k-manifold with kth Z2-Betti number bk only if the following generalized Heawood inequality holds: (k+1 n−k−1) ≤ (k+1 2k+1)bk. This is a common generalization of the case of graphs on surfaces as well as the van Kampen–Flores theorem. In the spirit of Kühnel’s conjecture, we prove that if the k-skeleton of the n-simplex embeds in a compact 2k-manifold with kth Z2-Betti number bk, then n ≤ 2bk(k 2k+2)+2k+4. This bound is weaker than the generalized Heawood inequality, but does not require the assumption that M is (k−1)-connected. Our results generalize to maps without q-covered points, in the spirit of Tverberg’s theorem, for q a prime power. Our proof uses a result of Volovikov about maps that satisfy a certain homological triviality condition.
AU - Goaoc, Xavier
AU - Mabillard, Isaac
AU - Paták, Pavel
AU - Patakova, Zuzana
AU - Tancer, Martin
AU - Wagner, Uli
ID - 610
IS - 2
JF - Israel Journal of Mathematics
TI - On generalized Heawood inequalities for manifolds: A van Kampen–Flores type nonembeddability result
VL - 222
ER -
TY - JOUR
AB - Small RNAs (sRNAs) regulate genes in plants and animals. Here, we show that population-wide differences in color patterns in snapdragon flowers are caused by an inverted duplication that generates sRNAs. The complexity and size of the transcripts indicate that the duplication represents an intermediate on the pathway to microRNA evolution. The sRNAs repress a pigment biosynthesis gene, creating a yellow highlight at the site of pollinator entry. The inverted duplication exhibits steep clines in allele frequency in a natural hybrid zone, showing that the allele is under selection. Thus, regulatory interactions of evolutionarily recent sRNAs can be acted upon by selection and contribute to the evolution of phenotypic diversity.
AU - Bradley, Desmond
AU - Xu, Ping
AU - Mohorianu, Irina
AU - Whibley, Annabel
AU - Field, David
AU - Tavares, Hugo
AU - Couchman, Matthew
AU - Copsey, Lucy
AU - Carpenter, Rosemary
AU - Li, Miaomiao
AU - Li, Qun
AU - Xue, Yongbiao
AU - Dalmay, Tamas
AU - Coen, Enrico
ID - 611
IS - 6365
JF - Science
SN - 00368075
TI - Evolution of flower color pattern through selection on regulatory small RNAs
VL - 358
ER -
TY - JOUR
AU - Oda, Shigekazu
AU - Toyoshima, Yu
AU - de Bono, Mario
ID - 6113
IS - 23
JF - Proceedings of the National Academy of Sciences
SN - 0027-8424
TI - Modulation of sensory information processing by a neuroglobin in Caenorhabditis elegans
VL - 114
ER -
TY - JOUR
AB - Animals adjust their behavioral priorities according to momentary needs and prior experience. We show that Caenorhabditis elegans changes how it processes sensory information according to the oxygen environment it experienced recently. C. elegans acclimated to 7% O2 are aroused by CO2 and repelled by pheromones that attract animals acclimated to 21% O2. This behavioral plasticity arises from prolonged activity differences in a circuit that continuously signals O2 levels. A sustained change in the activity of O2-sensing neurons reprograms the properties of their postsynaptic partners, the RMG hub interneurons. RMG is gap-junctionally coupled to the ASK and ADL pheromone sensors that respectively drive pheromone attraction and repulsion. Prior O2 experience has opposite effects on the pheromone responsiveness of these neurons. These circuit changes provide a physiological correlate of altered pheromone valence. Our results suggest C. elegans stores a memory of recent O2 experience in the RMG circuit and illustrate how a circuit is flexibly sculpted to guide behavioral decisions in a context-dependent manner.
AU - Fenk, Lorenz A.
AU - de Bono, Mario
ID - 6115
IS - 16
JF - Proceedings of the National Academy of Sciences
SN - 0027-8424
TI - Memory of recent oxygen experience switches pheromone valence inCaenorhabditis elegans
VL - 114
ER -