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» Applications of Polytypism in Theorem Proving
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105
Voted
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
15 years 9 months ago
The PCP theorem by gap amplification
The PCP theorem [3, 2] says that every language in NP has a witness format that can be checked probabilistically by reading only a constant number of bits from the proof. The cele...
Irit Dinur
SIAMCOMP
2010
147views more  SIAMCOMP 2010»
14 years 7 months ago
Uniform Direct Product Theorems: Simplified, Optimized, and Derandomized
The classical direct product theorem for circuits says that if a Boolean function f : {0, 1}n → {0, 1} is somewhat hard to compute on average by small circuits, then the correspo...
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...
82
Voted
CCCG
2009
14 years 10 months ago
Every Large Point Set contains Many Collinear Points or an Empty Pentagon
We prove the following generalised empty pentagon theorem: for every integer 2, every sufficiently large set of points in the plane contains collinear points or an empty pentagon...
Zachary Abel, Brad Ballinger, Prosenjit Bose, S&ea...
LICS
2012
IEEE
12 years 12 months ago
Logics of Dynamical Systems
—We study the logic of dynamical systems, that is, logics and proof principles for properties of dynamical systems. Dynamical systems are mathematical models describing how the s...
André Platzer
88
Voted
CADE
1998
Springer
15 years 1 months ago
A Proof Environment for the Development of Group Communication Systems
Abstract. We present a theorem proving environment for the development of reliable and efficient group communication systems. Our approach makes methods of automated deduction appl...
Christoph Kreitz, Mark Hayden, Jason Hickey