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AAECC
2002
Springer
116views Algorithms» more  AAECC 2002»
13 years 5 months ago
A Computer Proof of a Series Evaluation in Terms of Harmonic Numbers
A fruitful interaction between a new randomized WZ procedure and other computer algebra programs is illustrated by the computer proof of a series evaluation that originates from a ...
Russell Lyons, Peter Paule, Axel Riese
CSL
2007
Springer
13 years 11 months ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
NIPS
2004
13 years 6 months ago
Implicit Wiener Series for Higher-Order Image Analysis
The computation of classical higher-order statistics such as higher-order moments or spectra is difficult for images due to the huge number of terms to be estimated and interprete...
Matthias O. Franz, Bernhard Schölkopf
CADE
2008
Springer
14 years 5 months ago
Proving Bounds on Real-Valued Functions with Computations
Interval-based methods are commonly used for computing numerical bounds on expressions and proving inequalities on real numbers. Yet they are hardly used in proof assistants, as th...
Guillaume Melquiond
POPL
2007
ACM
14 years 5 months ago
Lazy multivariate higher-order forward-mode AD
A method is presented for computing all higher-order partial derivatives of a multivariate function Rn R. This method works by evaluating the function under a nonstandard interpre...
Barak A. Pearlmutter, Jeffrey Mark Siskind