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ENTCS
2007
151views more  ENTCS 2007»
13 years 4 months ago
Coalgebraic Modal Logic Beyond Sets
Polyadic coalgebraic modal logic is studied in the setting of locally presentable categories. It is shown that under certain assumptions, accessible functors admit expressive logi...
Bartek Klin
FOSSACS
2005
Springer
13 years 10 months ago
Expressivity of Coalgebraic Modal Logic: The Limits and Beyond
Modal logic has a good claim to being the logic of choice for describing the reactive behaviour of systems modeled as coalgebras. Logics with modal operators obtained from so-calle...
Lutz Schröder
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
JLP
2006
99views more  JLP 2006»
13 years 4 months ago
An institution of modal logics for coalgebras
This paper presents a modular framework for the specification of certain inductivelydefined coalgebraic types. Modal logics for coalgebras of polynomial endofunctors on the catego...
Corina Cîrstea
ENTCS
2002
121views more  ENTCS 2002»
13 years 4 months ago
Modal Predicates and Co-equations
We show how coalgebras can be presented by operations and equations. This is a special case of Linton's approach to algebras over a general base category X, namely where X is...
Alexander Kurz, Jirí Rosický