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» Some Theorems We Should Prove
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IJNSEC
2006
61views more  IJNSEC 2006»
14 years 10 months ago
Is There a Shortage of Primes for Cryptography?
Cryptographic algorithms often prescribe the use of primes whose length in bits is a power of 2. Recently, we proved that for m > 1, there is no prime number with 2m significan...
Samuel S. Wagstaff Jr.
ICSE
2007
IEEE-ACM
15 years 4 months ago
ACL2s: "The ACL2 Sedan"
ACL2 is the latest inception of the Boyer-Moore theorem prover, the 2005 recipient of the ACM Software System Award. In the hands of an expert, it feels like a finely tuned race ...
Peter C. Dillinger, Panagiotis Manolios, Daron Vro...
TPHOL
2005
IEEE
15 years 3 months ago
A Structured Set of Higher-Order Problems
Abstract. We present a set of problems that may support the development of calculi and theorem provers for classical higher-order logic. We propose to employ these test problems as...
Christoph Benzmüller, Chad E. Brown
FOCS
1991
IEEE
15 years 1 months ago
Lower Bounds for the Complexity of Reliable Boolean Circuits with Noisy Gates
We prove that the reliable computation of any Boolean function with sensitivity s requires Ω(s log s) gates if the gates of the circuit fail independently with a fixed positive...
Anna Gál
MKM
2007
Springer
15 years 4 months ago
Context Aware Calculation and Deduction
We address some aspects of a proposed system architecture for mathematical assistants, integrating calculations and deductions by common infrastructure within the Isabelle theorem ...
Amine Chaieb, Makarius Wenzel