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» Some Theorems We Should Prove
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IJNSEC
2006
61views more  IJNSEC 2006»
13 years 7 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
14 years 1 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
14 years 28 days 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
13 years 11 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
14 years 1 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