Concept

Gödel's incompleteness theorems

Related publications (39)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Provable Robustness of ReLU networks via Maximization of Linear Regions

Maksym Andriushchenko, Francesco Croce

It has been shown that neural network classifiers are not robust. This raises concerns about their usage in safety-critical systems. We propose in this paper a regularization scheme for ReLU networks which provably improves the robustness of the classifier ...

2019

Distributed Transactional Systems Cannot Be Fast

Rachid Guerraoui, Willy Zwaenepoel, Diego Didona, Junxiong Wang, Panagiota Fatourou

We prove that no fully transactional system can provide fast read transactions (including read-only ones that are considered the most frequent in practice). Specifically, to achieve fast read transactions, the system has to give up support of transactions ...

2019

DUCT: An Upper Confidence Bound Approach to Distributed Constraint Optimization Problems

Boi Faltings, Christos Dimitrakakis, Brammert Ottens

We propose a distributed upper confidence bound approach, DUCT, for solving distributed constraint optimization problems. We compare four variants of this approach with a baseline random sampling algorithm, as well as other complete and incomplete algorith ...

Assoc Computing Machinery2017

Why You Can't Beat Blockchains: Consistency and High Availability in Distributed Systems

Rachid Guerraoui, Jad Hamza, Dragos-Adrian Seredinschi

We study the issue of data consistency in highly-available distributed systems. Specifically, we consider a distributed system that replicates its data at multiple sites, which is prone to partitions, and which is expected to be highly available. In such a ...

arxiv2017

Image coding with incomplete transforms competition for HEVC

Anne-Flore Nicole Marie Perrin

Overcomplete transforms have received considerable attention over the past years. However, they often suffer from a complexity burden. In this paper, a low complexity approach is provided, where an orthonormal basis is complemented with a set of incomplete ...

2015

Fixed Point Property For Universal Lattice On Schatten Classes

Masato Mimura

The special linear group G = SLn(Z[x(1), ... , x(k)]) (n at least 3 and k finite) is called the universal lattice. Let n be at least 4, and p be any real number in (1, infinity). The main result is the following: any finite index subgroup of G has the fixe ...

Amer Mathematical Soc2013

Finite graphs and amenability

Gábor Elek

Hyperfiniteness or amenability of measurable equivalence relations and group actions has been studied for almost fifty years. Recently, unexpected applications of hyperfiniteness were found in computer science in the context of testability of graph propert ...

Academic Press Inc Elsevier Science2012

ElimLin Algorithm Revisited

Serge Vaudenay, Pouyan Sepehrdad, Petr Susil

ElimLin is a simple algorithm for solving polynomial systems of multivariate equations over small finite fields. It was initially proposed as a single tool by Courtois to attack DES. It can reveal some hidden linear equations existing in the ideal generate ...

Springer2012

Towards Complete Reasoning about Axiomatic Specifications

Viktor Kuncak, Swen Jacobs

To support verification of expressive properties of functional programs, we consider algebraic style specifications that may relate multiple user-defined functions, and compare multiple invocations of a function for different arguments. We present decision ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2011

Cryptographic Hash Functions in Groups and Provable Properties

Juraj Sarinay

We consider several "provably secure" hash functions that compute simple sums in a well chosen group (G,*). Security properties of such functions provably translate in a natural way to computational problems in G that are simple to define and possibly also ...

EPFL2011