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» Combinatorial PCPs with Short Proofs
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JCT
2011
83views more  JCT 2011»
12 years 11 months ago
The weighted hook length formula
Abstract. Based on the ideas in [CKP], we introduce the weighted analogue of the branching rule for the classical hook length formula, and give two proofs of this result. The firs...
Ionut Ciocan-Fontanine, Matjaz Konvalinka, Igor Pa...
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
14 years 4 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
JCT
2011
67views more  JCT 2011»
12 years 11 months ago
Inversion arrangements and Bruhat intervals
Let W be a finite reflection group. For a given w ∈ W, the following assertion may or may not be satisfied: (∗) The principal Bruhat order ideal of w contains as many elemen...
Axel Hultman
ECCC
2010
106views more  ECCC 2010»
13 years 3 months ago
Hardness of Parameterized Resolution
Parameterized Resolution and, moreover, a general framework for parameterized proof complexity was introduced by Dantchev, Martin, and Szeider [16] (FOCS’07). In that paper, Dan...
Olaf Beyersdorff, Nicola Galesi, Massimo Lauria
IJCAI
2003
13 years 5 months ago
Automated Reasoning: Past Story and New Trends
We overview the development of first-order automated reasoning systems starting from their early years. Based on the analysis of current and potential applications of such systems...
Andrei Voronkov