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» On the Power of Quantum Proofs
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115
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TCS
2008
15 years 1 months ago
Another proof of Soittola's theorem
Soittola's theorem characterizes R+- or N-rational formal power series in one variable among the rational formal power series with nonnegative coefficients. We present here a...
Jean Berstel, Christophe Reutenauer
CORR
2007
Springer
105views Education» more  CORR 2007»
15 years 1 months ago
A Simple Proof of the Entropy-Power Inequality via Properties of Mutual Information
— While most useful information theoretic inequalities can be deduced from the basic properties of entropy or mutual information, Shannon’s entropy power inequality (EPI) seems...
Olivier Rioul
95
Voted
ICALP
2005
Springer
15 years 7 months ago
Quantum Complexity of Testing Group Commutativity
We consider the problem of testing the commutativity of a black-box group specified by its k generators. The complexity (in terms of k) of this problem was first considered by Pa...
Frédéric Magniez, Ashwin Nayak
109
Voted
TPHOL
2007
IEEE
15 years 8 months ago
Proof Pearl: The Power of Higher-Order Encodings in the Logical Framework LF
Abstract. In this proof pearl, we demonstrate the power of higherorder encodings in the logical framework Twelf[PS99] by investigating proofs about an algorithmic specification of...
Brigitte Pientka
108
Voted
DM
1999
79views more  DM 1999»
15 years 1 months ago
A bijective proof of Riordan's theorem on powers of Fibonacci numbers
Let Fk(x) = n=0 Fk n xn . Using the interpretation of Fibonacci numbers in the terms of Morse codes, we give a bijective proof of Riordan's formula (1 - Lkx + (-1)k x2 )Fk(x...
Andrej Dujella