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» Presenting Functors by Operations and Equations
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FOSSACS
2006
Springer
14 years 2 months ago
Presenting Functors by Operations and Equations
We take the point of view that, if transition systems are coalgebras for a functor T, then an adequate logic for these transition systems should arise from the `Stone dual' L ...
Marcello M. Bonsangue, Alexander Kurz
IANDC
2010
102views more  IANDC 2010»
13 years 9 months ago
Presenting functors on many-sorted varieties and applications
This paper studies several applications of the notion of a presentation of a functor by operations and equations. We show that the technically straightforward generalisation of th...
Alexander Kurz, Daniela Petrisan
ENTCS
2008
102views more  ENTCS 2008»
13 years 11 months ago
Functorial Coalgebraic Logic: The Case of Many-sorted Varieties
Following earlier work, a modal logic for T-coalgebras is a functor L on a suitable variety. Syntax and proof system of the logic are given by presentations of the functor. This p...
Alexander Kurz, Daniela Petrisan
CASC
2009
Springer
119views Mathematics» more  CASC 2009»
14 years 5 months ago
A Symbolic Framework for Operations on Linear Boundary Problems
Abstract. We describe a symbolic framework for treating linear boundary problems with a generic implementation in the Theorema system. For ordinary differential equations, the ope...
Markus Rosenkranz, Georg Regensburger, Loredana Te...
ENTCS
2006
138views more  ENTCS 2006»
13 years 10 months ago
Some Properties and Some Problems on Set Functors
We study properties of functors on categories of sets (classes) together with set (class) functions. In particular, we investigate the notion of inclusion preserving functor, and ...
Daniela Cancila, Furio Honsell, Marina Lenisa