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» On the logical definability of certain graph and poset langu...
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112
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CORR
2006
Springer
144views Education» more  CORR 2006»
15 years 8 days ago
On the logical definability of certain graph and poset languages
We show that it is equivalent, for certain sets of finite graphs, to be definable in CMS (counting monadic second-order, a natural extension of monoadic second-order logic), and t...
Pascal Weil
71
Voted
ENTCS
2002
105views more  ENTCS 2002»
15 years 1 days ago
Fixed points in digital topology (via Helly posets)
Abstract. We extend some of our previous results on fixed points of graph multifunctions to posets. The posets of most interest here are the (finite) Khalimsky spaces, in their spe...
Rueiher Tsaur, Michael B. Smyth
110
Voted
IJAC
2010
118views more  IJAC 2010»
14 years 9 months ago
Algebraic Characterization of Logically Defined Tree Languages
We give an algebraic characterization of the tree languages that are defined by logical formulas using certain Lindstr
Zoltán Ésik, Pascal Weil
93
Voted
EJC
2006
15 years 7 days ago
The positive Bergman complex of an oriented matroid
We study the positive Bergman complex B+ (M) of an oriented matroid M, which is a certain subcomplex of the Bergman complex B(M) of the underlying unoriented matroid M. The positiv...
Federico Ardila, Caroline J. Klivans, Lauren Willi...
122
Voted
CIE
2009
Springer
15 years 4 months ago
Functions Definable by Arithmetic Circuits
An arithmetic circuit is a labelled, directed, acyclic graph specifying a cascade of arithmetic and logical operations to be performed on sets of non-negative integers. In this pap...
Ian Pratt-Hartmann, Ivo Düntsch