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IEEE Arithmetic

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Abstract

The aims of this chapter are to look in more depth at arithmetic and in particular at the support that Fortran provides for the IEEE 754 and later standards.

Any effectively generated theory capable of expressing elementary arithmetic cannot be both consistent and complete. In particular, for any consistent, effectively generated formal theory that proves certain basic arithmetic truths, there is an arithmetical statement that is true, but not provable in the theory.

Godel, First incompleteness theorem

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Correspondence to Ian Chivers .

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© 2015 Springer International Publishing Switzerland

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Chivers, I., Sleightholme, J. (2015). IEEE Arithmetic. In: Introduction to Programming with Fortran. Springer, Cham. https://doi.org/10.1007/978-3-319-17701-4_34

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  • DOI: https://doi.org/10.1007/978-3-319-17701-4_34

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-17700-7

  • Online ISBN: 978-3-319-17701-4

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