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» The Calculus of Algebraic Constructions
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IJAC
2007
70views more  IJAC 2007»
15 years 6 months ago
The Free Alternative Superalgebra on One odd Generator
A base of the free alternative superalgebra on one odd generator is constructed. As a corollary, a base of the alternative Grassmann algebra is given. We also find a new element ...
Ivan Shestakov, Natalia Zhukavets
OTM
2005
Springer
15 years 11 months ago
Probabilistic Ontologies and Relational Databases
The relational algebra and calculus do not take the semantics of terms into account when answering queries. As a consequence, not all tuples that should be returned in response to ...
Octavian Udrea, Yu Deng, Edward Hung, V. S. Subrah...
FMICS
2009
Springer
15 years 10 months ago
On a Uniform Framework for the Definition of Stochastic Process Languages
In this paper we show how Rate Transition Systems (RTSs) can be used as a unifying framework for the definition of the semantics of stochastic process algebras. RTSs facilitate the...
Rocco De Nicola, Diego Latella, Michele Loreti, Mi...
EUROCRYPT
2012
Springer
13 years 8 months ago
Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields
Abstract. The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In...
Jean-Charles Faugère, Ludovic Perret, Chris...
ACS
2008
15 years 6 months ago
Algebras Versus Coalgebras
Algebras and coalgebras are fundamental notions for large parts of mathematics. The basic constructions from universal algebra are now expressed in the language of categories and ...
Robert Wisbauer