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» On Proofs in System P
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FOCS
1998
IEEE
15 years 11 months ago
The Shortest Vector in a Lattice is Hard to Approximate to Within Some Constant
We show that approximating the shortest vector problem (in any p norm) to within any constant factor less than p 2 is hard for NP under reverse unfaithful random reductions with i...
Daniele Micciancio
JSYML
2008
72views more  JSYML 2008»
15 years 6 months ago
Perfect trees and elementary embeddings
An important technique in large cardinal set theory is that of extending an elementary embedding j : M N between inner models to an elementary embedding j : M[G] N[G] between ge...
Sy-David Friedman, Katherine Thompson
210
Voted
IANDC
2007
133views more  IANDC 2007»
15 years 6 months ago
On decidability of monadic logic of order over the naturals extended by monadic predicates
A fundamental result of Büchi states that the set of monadic second-order formulas true in the structure (Nat, <) is decidable. A natural question is: what monadic predicates ...
Alexander Rabinovich
DM
2011
238views Education» more  DM 2011»
15 years 1 months ago
A combinatorial approach to height sequences in finite partially ordered sets
Fix an element x of a finite partially ordered set P on n elements. Then let hi(x) be the number of linear extensions of P in which x is in position i, counting from the bottom. T...
Csaba Biró, William T. Trotter
SPAA
2006
ACM
16 years 21 days ago
A performance analysis of local synchronization
Synchronization is often necessary in parallel computing, but it can create delays whenever the receiving processor is idle, waiting for the information to arrive. This is especia...
Julia Lipman, Quentin F. Stout