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STACS
2007
Springer
16 years 29 days 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 29 days 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
FOCS
2006
IEEE
16 years 27 days 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 27 days 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 27 days 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...