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CALCO
2011
Springer
214views Mathematics» more  CALCO 2011»
12 years 11 months ago
Indexed Induction and Coinduction, Fibrationally
This paper extends the fibrational approach to induction and coinduction pioneered by Hermida and Jacobs, and developed by the current authors, in two key directions. First, we pr...
Clément Fumex, Neil Ghani, Patricia Johann
IANDC
2010
160views more  IANDC 2010»
13 years 8 months ago
Coequational logic for accessible functors
Covarieties of coalgebras are those classes of coalgebras for an endofunctor H on the category of sets that are closed under coproducts, subcoalgebras and quotients. Equivalently,...
Daniel Schwencke
ENTCS
2002
125views more  ENTCS 2002»
13 years 11 months ago
Specification of Logic Programming Languages from Reusable Semantic Building Blocks
We present a Language Prototyping System that facilitates the modular development of interpreters from independent semantic buildks. The abstract syntax is modelled as the fixpoint...
José Emilio Labra Gayo, Juan Manuel Cueva L...
IANDC
2006
99views more  IANDC 2006»
13 years 11 months ago
Recursive coalgebras from comonads
We discuss Osius's [22] concept of a recursive coalgebra of a functor from the perspective of programming semantics and give some new sufficient conditions for the recursiven...
Venanzio Capretta, Tarmo Uustalu, Varmo Vene
ENTCS
2006
100views more  ENTCS 2006»
13 years 11 months ago
Functors Determined by Values on Objects
Functors which are determined, up to natural isomorphism, by their values on objects, are called DVO (Defined by Values on Objects). We focus on the collection of polynomial funct...
Daniela Cancila, Furio Honsell, Marina Lenisa
FORTE
2008
14 years 26 days ago
Multiset Bisimulations as a Common Framework for Ordinary and Probabilistic Bisimulations
Abstract. Our concrete objective is to present both ordinary bisimulations and probabilistic bisimulations in a common coalgebraic framework based on multiset bisimulations. For th...
David de Frutos-Escrig, Miguel Palomino, Ignacio F...
CCA
2000
Springer
14 years 3 months ago
Effectivity of Regular Spaces
Abstract. General methods of investigating effectivity on regular Hausdorff (T3) spaces is considered. It is shown that there exists a functor from a category of T3 spaces into a c...
Jens Blanck