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» The Logic of Quasi-MV Algebras
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CALCO
2007
Springer
118views Mathematics» more  CALCO 2007»
14 years 4 months ago
Free Modal Algebras: A Coalgebraic Perspective
In this paper we discuss a uniform method for constructing free modal and distributive modal algebras. This method draws on works by (Abramsky 2005) and (Ghilardi 1995). We revisit...
Nick Bezhanishvili, Alexander Kurz
ICDT
2009
ACM
127views Database» more  ICDT 2009»
14 years 4 months ago
A logical account of uncertain databases based on linear logic
A formal semantics of uncertain databases typically takes an algebraic approach by mapping an uncertain database to a set of relational databases, or possible worlds. We present a...
Sungwoo Park, Seung-won Hwang
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
DAM
2008
125views more  DAM 2008»
13 years 10 months ago
Heyting algebras with Boolean operators for rough sets and information retrieval applications
This paper presents an algebraic formalism for reasoning on finite increasing sequences over Boolean algebras in general and on generalizations of Rough Set concepts in particular...
Eric SanJuan
ENTCS
2010
105views more  ENTCS 2010»
13 years 10 months ago
From Focalization of Logic to the Logic of Focalization
Focalization property is a deep outcome of linear logic proof theory, putting to the foreground the role of polarity in logic. It resulted an important advances in various fields, ...
Michele Basaldella, Alexis Saurin, Kazushige Terui