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CALCO
2007
Springer
118views Mathematics» more  CALCO 2007»
14 years 1 months ago
Free Modal Algebras: A Coalgebraic Perspective
In this paper we discuss a uniform method for constructing free modal and distributive modal algebras. This method draws on works by (Abramsky 2005) and (Ghilardi 1995). We revisit...
Nick Bezhanishvili, Alexander Kurz
CALCO
2005
Springer
98views Mathematics» more  CALCO 2005»
14 years 1 months ago
The Least Fibred Lifting and the Expressivity of Coalgebraic Modal Logic
Every endofunctor B on the category Set can be lifted to a fibred functor on the category (fibred over Set) of equivalence relations and relation-preserving functions. In this pa...
Bartek Klin
CALCO
2005
Springer
85views Mathematics» more  CALCO 2005»
14 years 1 months ago
Using Proofs by Coinduction to Find "Traditional" Proofs
In the specific situation of formal reasoning concerned with “regular expression equivalence” we address instances of more general questions such as: how can coinductive argum...
Clemens Grabmayer
CALCO
2005
Springer
98views Mathematics» more  CALCO 2005»
14 years 1 months ago
Behavioral Extensions of Institutions
We show that any institution I satisfying some reasonable conditions can be transformed into another institution, Ibeh, which captures formally and abstractly the intuitions of add...
Andrei Popescu, Grigore Rosu
CALCO
2005
Springer
69views Mathematics» more  CALCO 2005»
14 years 1 months ago
From T-Coalgebras to Filter Structures and Transition Systems
Abstract. For any set-endofunctor T : Set → Set there exists a largest subcartesian transformation µ to the filter functor F : Set → Set. Thus we can associate with every T-c...
H. Peter Gumm