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CIE
2005
Springer
14 years 1 months ago
A Logical Approach to Abstract Algebra
L APPROACH TO ABSTRACT ALGEBRA THIERRY COQUAND AND HENRI LOMBARDI Recent work in constructive mathematics show that Hilbert’s program works rge part of abstract algebra. Using in...
Thierry Coquand
CALCO
2007
Springer
118views Mathematics» more  CALCO 2007»
14 years 2 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 3 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
LOGCOM
2010
114views more  LOGCOM 2010»
13 years 6 months ago
Admissible Rules of Lukasiewicz Logic
We investigate admissible rules of Lukasiewicz multi-valued propositional logic. We show that admissibility of multiple-conclusion rules in Lukasiewicz logic, as well as validity ...
Emil Jerábek
APAL
2005
154views more  APAL 2005»
13 years 8 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