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CSL
2007
Springer
13 years 9 months ago
MSO on the Infinite Binary Tree: Choice and Order
We give a new proof showing that it is not possible to define in monadic second-order logic (MSO) a choice function on the infinite binary tree. This result was first obtained by G...
Arnaud Carayol, Christof Löding
COMBINATORICA
2004
127views more  COMBINATORICA 2004»
13 years 4 months ago
On Infinite Cycles I
We extend the basic theory concerning the cycle space of a finite graph to infinite locally finite graphs, using as infinite cycles the homeomorphic images of the unit circle in t...
Reinhard Diestel, Daniela Kühn
CORR
2002
Springer
95views Education» more  CORR 2002»
13 years 4 months ago
On the survey-propagation equations for the random K-satisfiability problem
In this note we study the existence of a solution to the survey-propagation equations for the random K-satisfiability problem for a given instance. We conjecture that when the num...
Giorgio Parisi
DAGSTUHL
2008
13 years 6 months ago
Constraint Satisfaction Problems with Infinite Templates
Allowing templates with infinite domains greatly expands the range of problems that can be formulated as a non-uniform constraint satisfaction problem. It turns out that many CSPs ...
Manuel Bodirsky
BIRTHDAY
2008
Springer
13 years 7 months ago
Tree Automata over Infinite Alphabets
A number of models of computation on trees labeled with symbols from an infinite alphabet is considered. We study closure and decision properties of each of the models and compare ...
Michael Kaminski, Tony Tan