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» Hardness Amplification in Proof Complexity
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APAL
2008
84views more  APAL 2008»
13 years 7 months ago
Resolution over linear equations and multilinear proofs
We develop and study the complexity of propositional proof systems of varying strength extending resolution by allowing it to operate with disjunctions of linear equations instead ...
Ran Raz, Iddo Tzameret
APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
13 years 9 months ago
Constructive Proofs of Concentration Bounds
We give a simple combinatorial proof of the Chernoff-Hoeffding concentration bound [Che52, Hoe63], which says that the sum of independent {0, 1}-valued random variables is highly ...
Russell Impagliazzo, Valentine Kabanets
SIAMCOMP
1998
125views more  SIAMCOMP 1998»
13 years 7 months ago
Free Bits, PCPs, and Nonapproximability-Towards Tight Results
This paper continues the investigation of the connection between probabilistically checkable proofs (PCPs) and the approximability of NP-optimization problems. The emphasis is on p...
Mihir Bellare, Oded Goldreich, Madhu Sudan
FOCS
1995
IEEE
13 years 11 months ago
Free Bits, PCPs and Non-Approximability - Towards Tight Results
This paper continues the investigation of the connection between probabilistically checkable proofs PCPs the approximability of NP-optimization problems. The emphasis is on prov...
Mihir Bellare, Oded Goldreich, Madhu Sudan
CADE
2005
Springer
14 years 8 months ago
Proof Planning for First-Order Temporal Logic
Proof planning is an automated reasoning technique which improves proof search by raising it to a meta-level. In this paper we apply proof planning to First-Order Linear Temporal L...
Claudio Castellini, Alan Smaill