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COMBINATORICS
1999
70views more  COMBINATORICS 1999»
15 years 6 months ago
Tilings of Diamonds and Hexagons with Defects
We show how to count tilings of Aztec diamonds and hexagons with defects using determinants. In several cases these determinants can be evaluated in closed form. In particular, we...
Harald Helfgott, Ira M. Gessel
JSYML
2002
66views more  JSYML 2002»
15 years 6 months ago
Proving Consistency of Equational Theories in Bounded Arithmetic
We consider equational theories for functions defined via recursion involving equations between closed terms with natural rules based on recursive definitions of the function symb...
Arnold Beckmann
TCS
1998
15 years 6 months ago
Reachability in Live and Safe Free-Choice Petri Nets is NP-Complete
The complexity of the reachability problem for live and safe free-choice Petri nets has been open for several years. Several partial results seemed to indicate that the problem is...
Javier Esparza
CORR
2010
Springer
77views Education» more  CORR 2010»
15 years 6 months ago
An upper bound on the number of states for a strongly universal hyperbolic cellular automaton on the pentagrid
In this paper, following the way opened by a previous paper deposited on arXiv, see[7], we give an upper bound to the number of states for a hyperbolic cellular automaton in the pe...
Maurice Margenstern
MLQ
2007
108views more  MLQ 2007»
15 years 6 months ago
Coloring linear orders with Rado's partial order
Let R be the preorder of embeddability between countable linear orders colored with elements of Rado’s partial order (a standard example of a wqo which is not a bqo). We show tha...
Riccardo Camerlo, Alberto Marcone