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» On Algebras with Iteration
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ICC
2007
IEEE
127views Communications» more  ICC 2007»
14 years 1 months ago
Efficient Factorisation Algorithm for List Decoding Algebraic-Geometric and Reed-Solomon Codes
— The list decoding algorithm can outperform the conventional unique decoding algorithm by producing a list of candidate decoded messages. An efficient list decoding algorithm fo...
L. Chen, Rolando A. Carrasco, Martin Johnston, E. ...
CSL
2010
Springer
13 years 8 months ago
Fibrational Induction Rules for Initial Algebras
This paper provides an induction rule that can be used to prove properties of data structures whose types are inductive, i.e., are carriers of initial algebras of functors. Our res...
Neil Ghani, Patricia Johann, Clément Fumex
SIAMSC
2008
148views more  SIAMSC 2008»
13 years 7 months ago
Multilevel Adaptive Aggregation for Markov Chains, with Application to Web Ranking
A multilevel adaptive aggregation method for calculating the stationary probability vector of an irreducible stochastic matrix is described. The method is a special case of the ada...
Hans De Sterck, Thomas A. Manteuffel, Stephen F. M...
TPHOL
2008
IEEE
14 years 1 months ago
Canonical Big Operators
In this paper, we present an approach to describe uniformly iterated “big” operations, like Pn i=0 f(i) or maxi∈I f(i) and to provide lemmas that encapsulate all the commonly...
Yves Bertot, Georges Gonthier, Sidi Ould Biha, Ioa...
HYBRID
2010
Springer
14 years 2 months ago
Automatic invariant generation for hybrid systems using ideal fixed points
We present computational techniques for automatically generating algebraic (polynomial equality) invariants for algebraic hybrid systems. Such systems involve ordinary differentia...
Sriram Sankaranarayanan