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» Proofs as Polynomials
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138
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CSFW
2005
IEEE
15 years 9 months ago
A Cryptographically Sound Dolev-Yao Style Security Proof of an Electronic Payment System
We present the first cryptographically sound Dolev-Yaostyle security proof of a comprehensive electronic payment system. The payment system is a slightly simplified variant of t...
Michael Backes, Markus Dürmuth
129
Voted
CSL
2005
Springer
15 years 9 months ago
Feasible Proofs of Matrix Properties with Csanky's Algorithm
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Michael Soltys
119
Voted
CORR
2008
Springer
129views Education» more  CORR 2008»
15 years 3 months ago
A polytime proof of correctness of the Rabin-Miller algorithm from Fermat's little theorem
Although a deterministic polytime algorithm for primality testing is now known ([4]), the Rabin-Miller randomized test of primality continues being the most efficient and widely u...
Grzegorz Herman, Michael Soltys
112
Voted
CORR
2010
Springer
137views Education» more  CORR 2010»
15 years 2 months ago
Quantum interactive proofs with short messages
This paper considers three variants of quantum interactive proof systems in which short (meaning logarithmic-length) messages are exchanged between the prover and verifier. The ...
Salman Beigi, Peter W. Shor, John Watrous
111
Voted
CORR
2008
Springer
127views Education» more  CORR 2008»
15 years 3 months ago
Branching proofs of infeasibility in low density subset sum problems
We prove that the subset sum problem ax = x {0, 1}n (SUB) has a polynomial time computable certificate of infeasibility for all a with density at most 1/(2n), and for almost all ...
Gábor Pataki, Mustafa Tural