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» Modal logic and invariance
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AIML
2006
13 years 6 months ago
Bisimulation Quantified Modal Logics: Decidability
Bisimulation quantifiers are a natural extension of modal logics. They preserve the bisimulation invariance of modal logic, while allowing monadic second-order expressivity. Unfort...
Tim French
JANCL
2008
133views more  JANCL 2008»
13 years 4 months ago
Modal logic and invariance
Consider any logical system, what is its natural repertoire of logical operations? This question has been raised in particular for first-order logic and its extensions with genera...
Johan van Benthem, Denis Bonnay
MLQ
2002
95views more  MLQ 2002»
13 years 4 months ago
Invariant Logics
A modal logic is called invariant if for all automorphisms of NExt K, () = . An invariant logic is therefore uniquely determined by its surrounding in the lattice. It will be est...
Marcus Kracht
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
2010
Springer
13 years 11 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