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» Coalgebraic Modal Logic Beyond Sets
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STACS
2001
Springer
13 years 9 months ago
Semantical Principles in the Modal Logic of Coalgebras
Coalgebras for a functor on the category of sets subsume many formulations of the notion of transition system, including labelled transition systems, Kripke models, Kripke frames a...
Dirk Pattinson
STACS
2009
Springer
13 years 11 months ago
Strong Completeness of Coalgebraic Modal Logics
ABSTRACT. Canonical models are of central importance in modal logic, in particular as they witness strong completeness and hence compactness. While the canonical model construction...
Lutz Schröder, Dirk Pattinson
IANDC
2006
113views more  IANDC 2006»
13 years 4 months ago
Automata and fixed point logic: A coalgebraic perspective
This paper generalizes existing connections between automata and logic to a coalgestraction level. Let F : Set Set be a standard functor that preserves weak pullbacks. We introdu...
Yde Venema
LOGCOM
2010
82views more  LOGCOM 2010»
13 years 3 months ago
Deduction Systems for Coalgebras Over Measurable Spaces
A theory of infinitary deduction systems is developed for the modal logic of coalgebras for measurable polynomial functors on the category of measurable spaces. These functors ha...
Robert Goldblatt
LOGCOM
2010
87views more  LOGCOM 2010»
13 years 3 months ago
Exemplaric Expressivity of Modal Logics
Abstract This paper investigates expressivity of modal logics for transition systems, multitransition systems, Markov chains, and Markov processes, as coalgebras of the powerset, ...
Bart Jacobs, Ana Sokolova