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FOCS
1998
IEEE
13 years 10 months ago
A Linguistic Characterization of Bounded Oracle Computation and Probabilistic Polynomial Time
We present a higher-order functional notation for polynomial-time computation with arbitrary 0; 1-valued oracle. This provides a linguistic characterization for classes such as np...
John C. Mitchell, Mark Mitchell, Andre Scedrov
CSR
2009
Springer
13 years 9 months ago
Characterizing the Existence of Optimal Proof Systems and Complete Sets for Promise Classes
In this paper we investigate the following two questions: Q1: Do there exist optimal proof systems for a given language L? Q2: Do there exist complete problems for a given promise ...
Olaf Beyersdorff, Zenon Sadowski
FOCS
2003
IEEE
13 years 11 months ago
A Lattice Problem in Quantum NP
We consider coGapSV P√ n, a gap version of the shortest vector in a lattice problem. This problem is known to be in AM ∩coNP but is not known to be in NP or in MA. We prove th...
Dorit Aharonov, Oded Regev
SIAMCOMP
1998
125views more  SIAMCOMP 1998»
13 years 5 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
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
14 years 6 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