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» On a Generalization of the Stone-Weierstrass Theorem
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STOC
2010
ACM
168views Algorithms» more  STOC 2010»
15 years 11 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
JCT
2010
113views more  JCT 2010»
15 years 10 days ago
Equations resolving a conjecture of Rado on partition regularity
A linear equation L is called k-regular if every k-coloring of the positive integers contains a monochromatic solution to L. Richard Rado conjectured that for every positive intege...
Boris Alexeev, Jacob Tsimerman
STOC
1997
ACM
122views Algorithms» more  STOC 1997»
15 years 6 months ago
Fault-Tolerant Quantum Computation With Constant Error
Shor has showed how to perform fault tolerant quantum computation when the probability for an error in a qubit or a gate, η, decays with the size of the computation polylogarithmi...
Dorit Aharonov, Michael Ben-Or
FSTTCS
1999
Springer
15 years 6 months ago
Hoare Logic for Mutual Recursion and Local Variables
We present a (the rst?) sound and relatively complete Hoare logic for a simple imperative programming language including mutually recursive procedures with call-by-value parameters...
David von Oheimb
TPHOL
1998
IEEE
15 years 6 months ago
The Village Telephone System: A Case Study in Formal Software Engineering
In this paper we illustrate the use of formal methods in the development of a benchmark application we call the Village Telephone System which is characteristic of a class of netwo...
Karthikeyan Bhargavan, Carl A. Gunter, Elsa L. Gun...