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» The Complexity of the Annihilating Polynomial
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DCG
2006
68views more  DCG 2006»
14 years 10 months ago
The Stirling Polynomial of a Simplicial Complex
We introduce a new encoding of the face numbers of a simplicial complex, its Stirling polynomial, that has a simple expression obtained by multiplying each face number with an app...
Gábor Hetyei
PKC
2012
Springer
234views Cryptology» more  PKC 2012»
13 years 9 days ago
Ring-LWE in Polynomial Rings
Abstract. The Ring-LWE problem, introduced by Lyubashevsky, Peikert, and Regev (Eurocrypt 2010), has been steadily finding many uses in numerous cryptographic applications. Still,...
Léo Ducas, Alain Durmus
POPL
2012
ACM
13 years 5 months ago
Sound predictive race detection in polynomial time
Data races are among the most reliable indicators of programming errors in concurrent software. For at least two decades, Lamport’s happens-before (HB) relation has served as th...
Yannis Smaragdakis, Jacob Evans, Caitlin Sadowski,...
IFIP
2004
Springer
15 years 3 months ago
Tailoring Recursion to Characterize Non-Deterministic Complexity Classes over Arbitrary Structures
We provide machine-independent characterizations of some complexity classes, over an arbitrary structure, in the model of computation proposed by L. Blum, M. Shub and S. Smale. We ...
Olivier Bournez, Felipe Cucker, Paulin Jacob&eacut...
IANDC
2006
83views more  IANDC 2006»
14 years 10 months ago
Implicit complexity over an arbitrary structure: Quantifier alternations
We provide machine-independent characterizations of some complexity classes, over an arbitrary structure, in the model of computation proposed by L. Blum, M. Shub and S. Smale. We...
Olivier Bournez, Felipe Cucker, Paulin Jacob&eacut...