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CORR
2010
Springer
143views Education» more  CORR 2010»
13 years 7 months ago
The Complexity of Proving the Discrete Jordan Curve Theorem
The Jordan Curve Theorem (JCT) states that a simple closed curve divides the plane into exactly two connected regions. We formalize and prove the theorem in the context of grid gr...
Phuong Nguyen, Stephen Cook
CRYPTO
2008
Springer
186views Cryptology» more  CRYPTO 2008»
13 years 9 months ago
Communication Complexity in Algebraic Two-Party Protocols
In cryptography, there has been tremendous success in building various two-party protocols with small communication complexity out of homomorphic semantically-secure encryption sc...
Rafail Ostrovsky, William E. Skeith III
POPL
2009
ACM
14 years 8 months ago
SPEED: precise and efficient static estimation of program computational complexity
This paper describes an inter-procedural technique for computing symbolic bounds on the number of statements a procedure executes in terms of its scalar inputs and user-defined qu...
Sumit Gulwani, Krishna K. Mehra, Trishul M. Chilim...
SAC
2006
ACM
13 years 7 months ago
Assisted verification of elementary functions using Gappa
The implementation of a correctly rounded or interval elementary function needs to be proven carefully in the very last details. The proof requires a tight bound on the overall er...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
BIRTHDAY
1997
Springer
13 years 11 months ago
Expressive Power of Unary Counters
We compare the expressive power on finite models of two extensions of first order logic L with equality. L(Ct) is formed by adding an operator count{x : ϕ}, which builds a term ...
Michael Benedikt, H. Jerome Keisler