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TCOS
2008
13 years 4 months ago
On Contemporary Denotational Mathematics for Computational Intelligence
Denotational mathematics is a category of expressive mathematical structures that deals with high-level mathematical entities beyond numbers and sets, such as abstract objects, com...
Yingxu Wang
JUCS
2008
147views more  JUCS 2008»
13 years 4 months ago
On BCK Algebras - Part I.b: An Attempt to Treat Unitarily the Algebras of Logic. New Algebras
: Since all the algebras connected to logic have, more or less explicitely, an associated order relation, it follows that they have two presentations, dual to each other. We classi...
Afrodita Iorgulescu
ENTCS
2006
116views more  ENTCS 2006»
13 years 4 months ago
Reflections on a Geometry of Processes
In this note we discuss some issues concerning a geometric approach to process algebra. We mainly raise questions and are not yet able to present significant answers.
Clemens Grabmayer, Jan Willem Klop, Bas Luttik
ENTCS
2006
114views more  ENTCS 2006»
13 years 4 months ago
What is algebraic in process theory?
This is an extended version of an essay with the same title that I wrote for the workshop Algebraic Process Calculi: The First Twenty Five Years and Beyond, held in Bertinoro, Ita...
Bas Luttik
ENTCS
2006
273views more  ENTCS 2006»
13 years 4 months ago
Operator Algebras and the Operational Semantics of Probabilistic Languages
We investigate the construction of linear operators representing the semantics of probabilistic programming languages expressed via probabilistic transition systems. Finite transi...
Alessandra Di Pierro, Herbert Wiklicky
FSS
2008
94views more  FSS 2008»
13 years 4 months ago
Lattices of convex normal functions
The algebra of truth values of type-2 fuzzy sets is the set of all functions from the unit interval into itself, with operations de ned in terms of certain convolutions of these f...
John Harding, Carol L. Walker, Elbert A. Walker
DM
2008
61views more  DM 2008»
13 years 4 months ago
Inheritance of hyper-duality in imprimitive Bose-Mesner algebras
We prove the following result concerning the inheritance of hyper-duality by block and quotient Bose-Mesner algebras associated with a hyper-dual pair of imprimitive Bose-Mesner a...
Brian Curtin
ACS
2008
13 years 4 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
SYRCODIS
2007
86views Database» more  SYRCODIS 2007»
13 years 5 months ago
XML Query Algera for Cost-based Optimization
Several requirements for algebra suitable for ecient cost-based optimization are presented. It is shown that known XML algebras do not fully satisfy this requirements. A new alge...
Maxim Lukichev, Dmitry Barashev
DLT
1993
13 years 5 months ago
Rewriting Extended Regular Expressions
We concider an extened algebra of regular events (languages) with intersection besides the usual operations. This algebra has the structure of a distributive lattice with monotoni...
Valentin M. Antimirov, Peter D. Mosses