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» Separation results for the size of constant-depth propositio...
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ECCC
2007
86views more  ECCC 2007»
13 years 5 months ago
Interactive PCP
A central line of research in the area of PCPs is devoted to constructing short PCPs. In this paper, we show that if we allow an additional interactive verification phase, with v...
Yael Tauman Kalai, Ran Raz
CSL
2010
Springer
13 years 6 months ago
From Feasible Proofs to Feasible Computations
We shall discuss several situations in which it is possible to extract from a proof, be it a proof in a first-order theory or a propositional proof, some feasible computational inf...
Jan Krajícek
JCSS
2008
96views more  JCSS 2008»
13 years 5 months ago
A combinatorial characterization of resolution width
We provide a characterization of the resolution width introduced in the context of propositional proof complexity in terms of the existential pebble game introduced in the context...
Albert Atserias, Víctor Dalmau
COCO
2009
Springer
155views Algorithms» more  COCO 2009»
14 years 11 days ago
Weak Derandomization of Weak Algorithms: Explicit Versions of Yao's Lemma
—A simple averaging argument shows that given a randomized algorithm A and a function f such that for every input x, Pr[A(x) = f(x)] ≥ 1−ρ (where the probability is over the...
Ronen Shaltiel
STOC
1993
ACM
141views Algorithms» more  STOC 1993»
13 years 9 months ago
Bounds for the computational power and learning complexity of analog neural nets
Abstract. It is shown that high-order feedforward neural nets of constant depth with piecewisepolynomial activation functions and arbitrary real weights can be simulated for Boolea...
Wolfgang Maass