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We add strong negation N N to classical logic and interpret the attack relation of ‘ x x attacks y y ’ in argumentation as ( x → N y ) (x→Ny) . We write a corresponding object level (using N N only) classical theory for each argumentation network and show that the classical models of this...
The Svenonius theorem describes the (first-order) definability in a structure in terms of permutations preserving the relations of elementary extensions of the structure. In the present article, we prove a version of this theorem using permutations of sequences over the original structure (these...
This article uses possible-world semantics to model the changes that may occur in an agent's knowledge as she loses information. This builds on previous work in which the agent may forget the truth-value of an atomic proposition, to a more general case where she may forget the truth-value of a...
The celebrated theorem proved by Goldblatt and Thomason in 1974 gives necessary and sufficient conditions for an elementary class of Kripke frames to be modally definable. Here we obtain a local analogue of this result, which deals with modal definability of classes of pointed frames....
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