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» On Coalgebras over Algebras
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MPC
2010
Springer
177views Mathematics» more  MPC 2010»
14 years 11 days ago
Adjoint Folds and Unfolds
Abstract. Folds and unfolds are at the heart of the algebra of programming. They allow the cognoscenti to derive and manipulate programs rigorously and effectively. Fundamental la...
Ralf Hinze
EOR
2006
63views more  EOR 2006»
13 years 7 months ago
On the optimal parameter of a self-concordant barrier over a symmetric cone
The properties of the barrier F(x) = -log(det(x)), defined over the cone of squares of a Euclidean Jordan algebra, are analyzed using pure algebraic techniques. Furthermore, relat...
Domingos Moreira Cardoso, Luís Almeida Viei...
FOSSACS
2005
Springer
14 years 1 months ago
Duality for Logics of Transition Systems
We present a general framework for logics of transition systems based on Stone duality. Transition systems are modelled as coalgebras for a functor T on a category X. The propositi...
Marcello M. Bonsangue, Alexander Kurz
ACS
2010
13 years 7 months ago
Graded and Koszul Categories
Koszul algebras have arisen in many contexts; algebraic geometry, combinatorics, Lie algebras, non-commutative geometry and topology. The aim of this paper and several sequel paper...
Roberto Martínez-Villa, Øyvind Solbe...
RC
2002
96views more  RC 2002»
13 years 7 months ago
Verification of Invertibility of Complicated Functions over Large Domains
A new method to decide the invertibility of a given high-dimensional function over a domain is presented. The problem arises in the field of verified solution of differential algeb...
Jens Hoefkens, Martin Berz