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CORR
2006
Springer
144views Education» more  CORR 2006»
13 years 4 months 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
ENTCS
2002
105views more  ENTCS 2002»
13 years 4 months 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
IJAC
2010
118views more  IJAC 2010»
13 years 2 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
EJC
2006
13 years 4 months 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...
CIE
2009
Springer
13 years 8 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