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» Succinct NP Proofs from an Extractability Assumption
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CIE
2008
Springer
13 years 7 months ago
Succinct NP Proofs from an Extractability Assumption
Abstract We prove, using a non-standard complexity assumption, that any language in NP has a 1-round (that is, the verifier sends a message to the prover, and the prover sends a me...
Giovanni Di Crescenzo, Helger Lipmaa
ECCC
2007
122views more  ECCC 2007»
13 years 5 months ago
Infeasibility of Instance Compression and Succinct PCPs for NP
The OR-SAT problem asks, given Boolean formulae φ1, . . . , φm each of size at most n, whether at least one of the φi’s is satisfiable. We show that there is no reduction fr...
Lance Fortnow, Rahul Santhanam
FOCS
2008
IEEE
13 years 11 months ago
Almost-Natural Proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
Timothy Y. Chow
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
TCC
2007
Springer
91views Cryptology» more  TCC 2007»
13 years 11 months ago
Lower Bounds for Non-interactive Zero-Knowledge
Abstract. We establish new lower bounds and impossibility results for noninteractive zero-knowledge proofs and arguments with set-up assumptions. – For the common random string m...
Hoeteck Wee