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Formal methods applied to a floating-point number system

The work

AuthorsGeoff Barrett
Editors
Typearticle
Year1989
Citekeybarrett1989formal

Where it appeared

Published inIEEE Transactions on Software Engineering
PublisherIEEE Computer Society
Volume15
Issue5
Pages611--621

Identifiers

DOI10.1109/32.24710
OpenAlexW2157279226

Empty on purpose

copy

Related

Distinct frombarrett1987formal
Distinct fromgibbons1993formal
Distinct fromjacobi2002formal

From OpenAlex, which stores abstracts as an index of words and their positions: what is shown is rebuilt from that, and reads fluently whether or not it is what the author wrote.

Abstract

A formalization of the IEEE standard for binary floating-point arithmetic (ANSI/IEEE Std. 754-1985) is presented in the set-theoretic specification language Z. The formal specification is refined into four sequential components, which unpack the operands, perform the arithmetic, and pack and round the result. This refinement follows proven rules and so demonstrates a mathematically rigorous method of program development. In the course of the proofs, useful internal representations of floating-point numbers are specified. The procedures presented form the basis for the floating-point unit of the Inmos IMS T800 transputer.

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Cite it as

@article{barrett1989formal,
  title        = {Formal methods applied to a floating-point number system},
  author       = {Geoff Barrett},
  year         = {1989},
  journal      = {IEEE Transactions on Software Engineering},
  publisher    = {IEEE Computer Society},
  volume       = {15},
  number       = {5},
  pages        = {611--621},
  doi          = {10.1109/32.24710},
}

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