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» Semantical Principles in the Modal Logic of Coalgebras
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FOSSACS
2008
Springer
13 years 6 months ago
Beyond Rank 1: Algebraic Semantics and Finite Models for Coalgebraic Logics
Coalgebras provide a uniform framework for the semantics of a large class of (mostly non-normal) modal logics, including e.g. monotone modal logic, probabilistic and graded modal l...
Dirk Pattinson, Lutz Schröder
STACS
2007
Springer
13 years 11 months ago
Rank-1 Modal Logics Are Coalgebraic
Coalgebras provide a unifying semantic framework for a wide variety of modal logics. It has previously been shown that the class of
Lutz Schröder, Dirk Pattinson
ENTCS
2002
104views more  ENTCS 2002»
13 years 5 months ago
A Note on Coalgebras and Presheaves
We show that the category of coalgebras of a wide-pullback preserving endofunctor on a category of presheaves is itself a category of presheaves. This illustrates a connection bet...
James Worrell
IANDC
2010
119views more  IANDC 2010»
13 years 3 months ago
Cut elimination in coalgebraic logics
We give two generic proofs for cut elimination in propositional modal logics, interpreted over coalgebras. We first investigate semantic coherence conditions between the axiomati...
Dirk Pattinson, Lutz Schröder
IANDC
2006
117views more  IANDC 2006»
13 years 5 months ago
A modular approach to defining and characterising notions of simulation
We propose a modular approach to defining notions of simulation, and modal logics which characterise them. We use coalgebras to model state-based systems, relators to define notio...
Corina Cîrstea