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Abstract: . Intel is applying formal verification to various pieces of mathematical software used in Merced, the first implementation of the new IA-64 architecture. This paper discusses the development of a generic floating point library giving definitions of the fundamental terms and containing formal proofs of important lemmas. We also briefly describe how this has been used in the verification effort so far. 1 Introduction IA-64 is a new 64-bit computer architecture jointly developed by... (Update)
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7: Complexity and Correctness (context) - Mueller, Paul - 2000
7: Formal methods applied to a floating-point number system - Barrett - 1989
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BibTeX entry: (Update)
John R. Harrison. A machine-checked theory of floating point arithmetic. In The 12th International Conference on Theorem Proving in Higher Order Logics, TPHOLs'99, volume 1690 of LNCS, pages 113-130. Springer, 1999. http://citeseer.ist.psu.edu/harrison99machinechecked.html More
@inproceedings{ harrison99machinechecked,
author = "John Harrison",
title = "A machine-checked theory of floating point arithmetic",
booktitle = "12th International Conference on Theorem Proving in Higher Order Logics",
address = "Nice, France",
editor = "Yves Bertot and Gilles Dowek and Andr{\'e} Hirschowitz and Christine Paulin and Laurent Th{\'e}ry",
pages = "113--130",
year = "1999",
url = "citeseer.ist.psu.edu/harrison99machinechecked.html" }
Citations (may not include all citations):592 Introduction to HOL: a theorem proving environment for highe.. (context) - Gordon, Melham - 1993
119 What every computer scientist should know about floating poi.. - Goldberg - 1991
83 The Institute of Electrical and Electronic Engineers (context) - for, point et al. - 1985
46 A higher-order implementation of rewriting - Paulson - 1983
41 Theorem Proving with the Real Numbers - Harrison - 1998
29 The IA-64 architecture at work (context) - Dulong - 1998
22 Computation of elementary functions on the IBM RISC System /.. (context) - Markstein - 1990
20 Defining the IEEE-854 floating-point standard in PVS - Miner - 1995
17 Elementary functions: Algorithms and Implementation (context) - Muller - 1997
10 Floating point verification in HOL Light: The exponential fu.. - Harrison - 1997
5 Proving the IEEE correctness of iterative floating-point squ.. (context) - Cornea-Hasegan - 1998
5 New algorithms for improved transcendental functions on IA - Story, Tang
4 Formal methods applied to a floating-point system (context) - Barratt - 1989
4 Formally verifying IEEE compliance of floating-point hardwar.. (context) - O'Leary, Zhao et al. - 1999
2 A mechanically checked proof of IEEE compliance of a registe.. (context) - Rusinoff - 1998
2 Correctness proofs outline for Newton-Raphson based floating.. (context) - Cornea-Hasegan, Golliver et al.
The graph only includes citing articles where the year of publication is known.
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