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APAL
2005
154views more  APAL 2005»
13 years 9 months ago
A Sahlqvist theorem for distributive modal logic
In this paper we consider distributive modal logic, a setting in which we may add modalities, such as classical types of modalities as well as weak forms of negation, to the fragm...
Mai Gehrke, Hideo Nagahashi, Yde Venema
AISC
1998
Springer
14 years 2 months ago
Bertrand Russell, Herbrand's Theorem, and the Assignment Statement
While propositional modal logic is a standard tool, first-order modal logic is not. Indeed, it is not generally understood that conventional first-order syntax is insufficiently ex...
Melvin Fitting
AIML
2008
13 years 11 months ago
Modal logic of time division
A logic LTD is defined, inspired by [37]. It is syntactically like basic modal logic with an additional unary operator but it has an interval-based semantics on structures with arb...
Tero Tulenheimo
JANCL
2002
113views more  JANCL 2002»
13 years 9 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
ECAI
2010
Springer
13 years 10 months ago
Higher-Order Coalition Logic
We introduce and study higher-order coalition logic, a multi modal monadic second-order logic with operators [{x}] expressing that the coalition of all agents satisfying (x) can ac...
Guido Boella, Dov M. Gabbay, Valerio Genovese, Lee...