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3. A strong call-by-need calculus

5. Plotting in a Formally Verified Way

8. A strong call-by-need calculus

12. Robust detection of translocations in lymphoma FFPE samples using targeted locus capture-based sequencing

14. Extending the Precision

15. Interval Arithmetic

16. Verifying Floating-Point Algorithms

17. Complex Numbers

18. Enhanced Floating-Point Sums, Dot Products, and Polynomial Values

19. Software Implementation of Floating-Point Arithmetic

20. Languages and Compilers

21. Algorithms for the Basic Operations

22. Evaluating Floating-Point Elementary Functions

23. Hardware Implementation of Floating-Point Arithmetic

24. Basic Properties and Algorithms

25. Floating-Point Formats and Environment

26. Definitions and Basic Notions

27. Introduction

29. Robust detection of translocations in lymphoma FFPE samples using targeted locus capture-based sequencing

31. A Why3 Framework for Reflection Proofs and Its Application to GMP’s Algorithms

32. Trusting Computations: a Mechanized Proof from Partial Differential Equations to Actual Program

33. Wave Equation Numerical Resolution: a Comprehensive Mechanized Proof of a C Program

34. Formal Proof of a Wave Equation Resolution Scheme: the Method Error

36. Certifying floating-point implementations using Gappa

37. Certification of bounds on expressions involving rounded operators

38. Floating-point arithmetic

41. How to Get an Efficient yet Verified Arbitrary-Precision Integer Library

42. A Three-Tier Strategy for Reasoning About Floating-Point Numbers in SMT

45. Formally Verified Approximations of Definite Integrals

46. Molecular Dynamics Characterization of the Conformational Landscape of Small Peptides: A Series of Hands-On Collaborative Practical Sessions for Undergraduate Students

47. Floating-point arithmetic

49. Appendix: Number Theory Tools for Floating-Point Arithmetic

50. Extending the Precision

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