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ASIACRYPT
2007
Springer
15 years 10 months ago
Black-Box Extension Fields and the Inexistence of Field-Homomorphic One-Way Permutations
The black-box field (BBF) extraction problem is, for a given field F, to determine a secret field element hidden in a black-box which allows to add and multiply values in F in ...
Ueli M. Maurer, Dominik Raub
IJCAI
1993
15 years 5 months ago
The Range of Applicability of Nonmonotonic Logics for the Inertia Problem
We introduce and use a new methodology for the study of logics for action and change. The methodology allows one to define a taxonomy of reasoning problems, based in particular on...
Erik Sandewall
STOC
2007
ACM
83views Algorithms» more  STOC 2007»
16 years 4 months ago
Lattices that admit logarithmic worst-case to average-case connection factors
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
Chris Peikert, Alon Rosen
CALCO
2009
Springer
138views Mathematics» more  CALCO 2009»
15 years 11 months ago
Kleene Monads: Handling Iteration in a Framework of Generic Effects
Abstract. Monads are a well-established tool for modelling various computational effects. They form the semantic basis of Moggi’s computational metalanguage, the metalanguage of ...
Sergey Goncharov, Lutz Schröder, Till Mossako...
ECCC
2008
168views more  ECCC 2008»
15 years 4 months ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson