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COMBINATORICA
2011
13 years 7 days ago
A q-analogue of the FKG inequality and some applications
Let L be a finite distributive lattice and µ : L → R+ a logsupermodular function. For functions k : L → R+ let Eµ(k; q) def = x∈L k(x)µ(x)qrank(x) ∈ R+ [q]. We prove fo...
Anders Björner
IGPL
2011
13 years 3 months ago
Interpolation and FEP for logics of residuated algebras
A residuated algebra (RA) is a generalization of a residuated groupoid; instead of one basic binary operation · with residual operations \, /, it admits finitely many basic oper...
Wojciech Buszkowski
EJC
2011
13 years 7 months ago
Distributive lattices, polyhedra, and generalized flows
A D-polyhedron is a polyhedron P such that if x, y are in P then so are their componentwise max and min. In other words, the point set of a D-polyhedron forms a distributive latti...
Stefan Felsner, Kolja B. Knauer
DLOG
2009
13 years 10 months ago
Reasoning With Weighted Ontologies
We study the problem of reasoning over weighted ontologies. We assume that every axiom is labeled with an element of a distributive lattice (called its weight) and try to compute i...
Rafael Peñaloza
HEURISTICS
2006
102views more  HEURISTICS 2006»
14 years 13 days ago
A logic of soft constraints based on partially ordered preferences
Representing and reasoning with an agent's preferences is important in many applications of constraints formalisms. Such preferences are often only partially ordered. One clas...
Nic Wilson
EJC
2008
14 years 15 days ago
Labeled posets are universal
Partially ordered sets labeled with k labels (k-posets) and their homomorphisms are examined. The homomorphicity order of k-posets is shown to be a distributive lattice. Homomorph...
Erkko Lehtonen
ECAI
2004
Springer
14 years 5 months ago
Soft Constraints with Partially Ordered Preferences
This paper constructs a logic of soft constraints where the set of degrees of preference forms a partially ordered set. When the partially ordered set is a distributive lattice, th...
Nic Wilson