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Z Formal Specification Language

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Mathematics in Computing

Abstract

Z is a formal specification language based on Zermelo set theory. It was developed at the Programming Research Group at Oxford University in the early 1980s (Diller, An Introduction to Formal Methods, 1990), and became an ISO standard in 2002. Z specifications are mathematical and employ a classical two-valued logic. The use of mathematics ensures precision and allows inconsistencies and gaps in the specification to be identified. Theorem provers may be employed to demonstrate that the software implementation meets its specification.

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Notes

  1. 1.

    Step-wise refinement involves producing a sequence of increasingly more concrete specifications until eventually the executable code is produced. Each refinement step has associated proof obligations to prove that the refinement step is valid.

  2. 2.

    This project claimed a 9 % increase in productivity attributed to the use of formal methods.

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Correspondence to Gerard O’Regan .

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O’Regan, G. (2013). Z Formal Specification Language. In: Mathematics in Computing. Springer, London. https://doi.org/10.1007/978-1-4471-4534-9_6

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  • DOI: https://doi.org/10.1007/978-1-4471-4534-9_6

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  • Publisher Name: Springer, London

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