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STACS
2007
Springer
16 years 1 months ago
A First Investigation of Sturmian Trees
We consider Sturmian trees as a natural generalization of Sturmian words. A Sturmian tree is a tree having n+1 distinct subtrees of height n for each n. As for the case of words, S...
Jean Berstel, Luc Boasson, Olivier Carton, Isabell...
TLCA
2007
Springer
16 years 1 months ago
Extensional Rewriting with Sums
Inspired by recent work on normalisation by evaluation for sums, we propose a normalising and confluent extensional rewriting theory for the simply-typed λ-calculus extended with...
Sam Lindley
221
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FOCS
2006
IEEE
16 years 1 months ago
On the time complexity of 2-tag systems and small universal Turing machines
We show that 2-tag systems efficiently simulate Turing machines. As a corollary we find that the small universal Turing machines of Rogozhin, Minsky and others simulate Turing ma...
Damien Woods, Turlough Neary
FOCS
2006
IEEE
16 years 1 months ago
How to Play Unique Games Using Embeddings
In this paper we present a new approximation algorithm for Unique Games. For a Unique Game with n vertices and k states (labels), if a (1 − ε) fraction of all constraints is sa...
Eden Chlamtac, Konstantin Makarychev, Yury Makaryc...
FOCS
2006
IEEE
16 years 1 months ago
The Kesten-Stigum Reconstruction Bound Is Tight for Roughly Symmetric Binary Channels
We establish the exact threshold for the reconstruction problem for a binary asymmetric channel on the b-ary tree, provided that the asymmetry is sufficiently small. This is the ...
Christian Borgs, Jennifer T. Chayes, Elchanan Moss...