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FOCS
1990
IEEE
13 years 11 months ago
The Lattice Reduction Algorithm of Gauss: An Average Case Analysis
The lattice reduction algorithm of Gauss is shown to have an average case complexity which is asymptotic to a constant.
Brigitte Vallée, Philippe Flajolet
FOCS
1990
IEEE
13 years 11 months ago
IP=PSPACE
In [Sh92], Adi Shamir proved a complete characterization of the complexity class IP. He showed that when both randomization and interaction are allowed, the proofs that can be ver...
Adi Shamir
FOCS
1990
IEEE
13 years 11 months ago
The Computability and Complexity of Optical Beam Tracing
John H. Reif, J. D. Tygar, Akitoshi Yoshida
FOCS
1990
IEEE
13 years 11 months ago
Algebraic Methods for Interactive Proof Systems
A new algebraic technique for the construction of interactive proof systems is presented. Our technique is used to prove that every language in the polynomial-time hierarchy has an...
Carsten Lund, Lance Fortnow, Howard J. Karloff, No...
FOCS
1990
IEEE
13 years 11 months ago
Decision Problems for Propositional Linear Logic
Patrick Lincoln, John C. Mitchell, Andre Scedrov, ...
FOCS
1990
IEEE
13 years 11 months ago
Complexity of Unification in Free Groups and Free Semi-groups
The exponent of periodicity is an important factor in estimates of complexity of word-unification algorithms. We prove that the exponent of periodicity of a minimal solution of a w...
Antoni Koscielski, Leszek Pacholski
FOCS
1990
IEEE
13 years 11 months ago
Matrix Decomposition Problem Is Complete for the Average Case
The first algebraic average-case complete problem is presented. It is arguably the simplest natural average-case complete problem to date.
Yuri Gurevich
FOCS
1990
IEEE
13 years 11 months ago
Security Preserving Amplification of Hardness
Oded Goldreich, Russell Impagliazzo, Leonid A. Lev...
FOCS
1990
IEEE
13 years 11 months ago
Perfectly Secure Message Transmission
Danny Dolev, Cynthia Dwork, Orli Waarts, Moti Yung