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This book constitutes the proceedings of the 10th International Workshop on Numerical Software Verification, NSV 2017, held in Heidelberg, Germany, in July 2017 - colocated with the International Workshop on Formal Methods for Rigorous Systems Engineering of Cyber-Physical Systems, RISE4CPS 2017, a one-time, invited-only event. The 3 full papers presented together with 3 short papers, 2 keynote abstracts and 4 invited abstracts were carefully reviewed and selected from numerous submissions. The NSV 2017 workshop is dedicated to the development of logical and mathematical techniques for the reasoning about programmability and reliability.

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Verified Computations using Taylor Models and Their Applications.- Introduction to the IEEE 1788-2015 Standard for Interval Arithmetic.- Formal Correctness of Comparison Algorithms between binary64 and decimal64 Floating-Point Numbers.- Sound Numerical Computations in Abstract Acceleration.- Studying the numerical quality of an industrial computing code: a case study on Code_Aster.- Challenges and Tool Implementation of Hybrid Rapidly-Exploring Random Trees.- Rigorous Reachability Analysis and Domain Decomposition of Taylor Models.- A Study of Model-Order Reduction Techniques for Verification.

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