Verifying the accuracy of polynomial approximations in HOL (1997)

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by John Harrison
Venue:Theorem Proving in Higher Order Logics: 10th International Conference, TPHOLs’97
Citations:11 - 6 self

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25 Formal Verification of Floating Point Trigonometric Functions – John Harrison - 2000
1 Hierarchical verification of the implementation of the ieee-754 table-driven floating-point exponential function using hol – Amr T. Abdel-hamid, Sofiène Tahar, John Harrison - 2001
Formal Reasoning about Expectation Properties for Continuous Random Variables – Osman Hasan, Naeem Abbasi, Behzad Akbarpour, Sofiène Tahar, Reza Akbarpour
31 A Machine-Checked Theory of Floating Point Arithmetic – John Harrison - 1999
1 CHEBYSHEV SERIES EXPANSION OF INVERSE POLYNOMIALS – Richard J. Mathar - 2005
OPTIMAL, QUASI–OPTIMAL AND SUPERLINEAR BAND–TOEPLITZ PRECONDITIONERS FOR ASYMPTOTICALLY ILL–CONDITIONED POSITIVE DEFINITE TOEPLITZ SYSTEMS – Stefano Serra
BARYCENTRIC-REMEZ ALGORITHMS FOR BEST POLYNOMIAL APPROXIMATION IN THE Chebfun System – Ricardo Pachon, Lloyd N. Trefethen - 2008
sous la direction du Dr. Laurent Baratchart – École Doctorale, De Mathématiques, Et Informatique E. D, Vincent Lunot, M. Alexander, Borichev Université, Provence Président, M. Laurent, Baratchart Inria, Sophia Antipolis, Méditerranée Directeur, M. Stanislas, Kupin Université, Provence Examinateur, M. Damien, Pacaud Thales, Alenia Space - 2012
Formal Analysis and Verification of an OFDM Modem Design using HOL – Abu Nasser, M. Abdullah, Behzad Akbarpour, Sofiène Tahar
2 First Order Logic in Practice – Cambridge Cb Qg - 1997
for the implementation – Sylvain Chevillard, Christoph Lauter
1 Certifying floating-point implementations using Gappa – Florent De Dinechin, Christoph Lauter, Guillaume Melquiond - 2008
3 Behavioral Properties of Floating-Point Programs ⋆ – Ali Ayad, Claude Marché
3 Software techniques for perfect elementary functions in floating-point interval arithmetic – Florent de Dinechin, Sergey Maidanov - 2006
14 New Algorithms for Improved Transcendental Functions on IA-64 – Shane Story, Ping Tak, Peter Tang
5 Assisted verification of elementary functions – Florent de Dinechin, Christoph Lauter, Guillaume Melquiond - 2005
5 A Meta Linear Logical Framework – Andrew Mccreight, Carsten Schürmann - 2003
Error Analysis and Verification of an IEEE 802.11 OFDM Modem using Theorem Proving 1 – Abu Nasser, Mohammed Abdullah, Behzad Akbarpour B, Sofiène Tahar C
a toolset for adaptable arithmetic – Sylvie Boldo, Marc Daumas, Claire Moreau-finot, Laurent Théry - 2001