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» Logics with an existential modality
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AIML
2008
14 years 11 days ago
A modal perspective on monadic second-order alternation hierarchies
abstract. We establish that the quantifier alternation hierarchy of formulae of Second-Order Propositional Modal Logic (SOPML) induces an infinite corresponding semantic hierarchy ...
Antti Kuusisto
JANCL
2002
113views more  JANCL 2002»
13 years 10 months ago
Canonicity and Completeness Results for Many-Valued Modal Logics
We prove frame determination results for the family of many-valued modal logics introduced by M. Fitting in the early '90s. Each modal language of this family is based on a H...
Costas D. Koutras, Christos Nomikos, Pavlos Peppas
AI
1999
Springer
13 years 10 months ago
Modal Logics, Description Logics and Arithmetic Reasoning
Forthcoming in the Journal of Aritificial Intelligence We introduce mathematical programming and atomic decomposition as the basic modal (T-Box) inference techniques for a large c...
Hans Jürgen Ohlbach, Jana Koehler
CONCUR
2004
Springer
14 years 4 months ago
Modular Construction of Modal Logics
We present a modular approach to defining logics for a wide variety of state-based systems. We use coalgebras to model the behaviour of systems, and modal logics to specify behavi...
Corina Cîrstea, Dirk Pattinson
ICALP
2010
Springer
14 years 28 days ago
B and D Are Enough to Make the Halpern-Shoham Logic Undecidable
Abstract. The HalpernShoham logic is a modal logic of time intervals. Some eort has been put in last ten years to classify fragments of this beautiful logic with respect to decid...
Jerzy Marcinkowski, Jakub Michaliszyn, Emanuel Kie...