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» Coalgebraic Correspondence Theory
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FOSSACS
2010
Springer
14 years 5 months ago
Coalgebraic Correspondence Theory
Abstract. We lay the foundations of a first-order correspondence theory for coalgebraic logics that makes the transition structure explicit in the first-order modelling. In parti...
Lutz Schröder, Dirk Pattinson
CALCO
2009
Springer
172views Mathematics» more  CALCO 2009»
14 years 5 months ago
Coalgebraic Components in a Many-Sorted Microcosm
The microcosm principle, advocated by Baez and Dolan and formalized for Lawvere theories lately by three of the authors, has been applied to coalgebras in order to describe composi...
Ichiro Hasuo, Chris Heunen, Bart Jacobs, Ana Sokol...
ICALP
2010
Springer
14 years 3 months ago
Automata for Coalgebras: An Approach Using Predicate Liftings
Universal Coalgebra provides the notion of a coalgebra as the natural mathematical generalization of state-based evolving systems such as (infinite) words, trees, and transition s...
Gaëlle Fontaine, Raul Andres Leal, Yde Venema
ENTCS
2006
162views more  ENTCS 2006»
13 years 11 months ago
Continuous Functions on Final Coalgebras
It can be traced back to Brouwer that continuous functions of type StrA B, where StrA is the type of infinite streams over elements of A, can be represented by well founded, Abra...
Neil Ghani, Peter Hancock, Dirk Pattinson
CORR
2006
Springer
120views Education» more  CORR 2006»
13 years 11 months ago
Logic Column 15: Coalgebras and Their Logics
of proposed research. A short bibliography is optional. Domain theory has been developed around 40 years since 1970s by D. Scott, and S. Abramsky revealed the "junction betwee...
Alexander Kurz