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CORR
2011
Springer
205views Education» more  CORR 2011»
12 years 11 months ago
On the algebraic numbers computable by some generalized Ehrenfest urns
This article deals with some stochastic population protocols, motivated by theoretical aspects of distributed computing. We modelize the problem by a large urn of black and white ...
Marie Albenque, Lucas Gerin
JC
2007
130views more  JC 2007»
13 years 4 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
RTA
2009
Springer
13 years 11 months ago
Protocol Security and Algebraic Properties: Decision Results for a Bounded Number of Sessions
Abstract. We consider the problem of deciding the security of cryptographic protocols for a bounded number of sessions, taking into account some algebraic properties of the securit...
Sergiu Bursuc, Hubert Comon-Lundh
ICALP
2004
Springer
13 years 10 months ago
An Analog Characterization of Elementarily Computable Functions over the Real Numbers
Abstract We present an analog and machine-independent algebraic characterization of elementarily computable functions over the real numbers in the sense of recursive analysis: we p...
Olivier Bournez, Emmanuel Hainry
DAGSTUHL
2008
13 years 6 months ago
Real Algebraic Numbers: Complexity Analysis and Experimentation
Abstract. We present algorithmic, complexity and implementation results concerning real root isolation of a polynomial of degree d, with integer coefficients of bit size , using S...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...