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143
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CORR
2007
Springer
128views Education» more  CORR 2007»
15 years 23 days ago
Verified Real Number Calculations: A Library for Interval Arithmetic
—Real number calculations on elementary functions are remarkably difficult to handle in mechanical proofs. In this paper, we show how these calculations can be performed within a...
Marc Daumas, David Lester, César Muñ...
84
Voted
CSFW
2010
IEEE
15 years 4 months ago
A Machine-Checked Formalization of Sigma-Protocols
—Zero-knowledge proofs have a vast applicability in the domain of cryptography, stemming from the fact that they can be used to force potentially malicious parties to abide by th...
Gilles Barthe, Daniel Hedin, Santiago Zanella B&ea...
131
Voted

Lecture Notes
592views
17 years 19 days ago
Stochastic Differential Equations
These lecture notes have been developed over several semesters with the assistance of students in the course. For many (most) results, only incomplete proofs are given. Gaps in the...
Thomas G. Kurtz
115
Voted
CADE
2006
Springer
16 years 1 months ago
Partial Recursive Functions in Higher-Order Logic
Abstract. Based on inductive definitions, we develop an automated tool for defining partial recursive functions in Higher-Order Logic and providing appropriate reasoning tools for ...
Alexander Krauss
101
Voted
SAC
2006
ACM
15 years 6 months ago
Provably faithful evaluation of polynomials
We provide sufficient conditions that formally guarantee that the floating-point computation of a polynomial evaluation is faithful. To this end, we develop a formalization of ï¬...
Sylvie Boldo, César Muñoz