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» An Algebraic Theory of Graph Reduction
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APAL
2007
78views more  APAL 2007»
13 years 8 months ago
Partial Horn logic and cartesian categories
A logic is developed in which function symbols are allowed to represent partial functions. It has the usual rules of logic (in the form of a sequent calculus) except that the subs...
Erik Palmgren, Steven J. Vickers
DATESO
2008
129views Database» more  DATESO 2008»
13 years 10 months ago
Database Engineering from the Category Theory Viewpoint
Abstract. This paper gives an overview of XML formal models, summarizes database engineering practices, problems and their evolution. We focus on categorical aspects of XML formal ...
David Toth
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
COMPGEOM
2010
ACM
14 years 1 months ago
Adding one edge to planar graphs makes crossing number hard
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Sergio Cabello, Bojan Mohar
JSC
2007
71views more  JSC 2007»
13 years 8 months ago
Rational invariants of a group action. Construction and rewriting
Geometric constructions applied to a rational action of an algebraic group lead to a new algorithm for computing rational invariants. A finite generating set of invariants appear...
Evelyne Hubert, Irina A. Kogan