| I. J. Hayes. A generalisation of bags in Z. In Nicholls [271], pages 113--127. Proceedings of the Fourth Annual Z User Meeting, Wolfson College & Rewley House, Oxford, UK, 14--15 December 1989. Published in collaboration with the British Computer Society.For the opening address see [283]. For individual papers, see [27,60,61,83,102, 126, 143,160, 170,189,216, 265, 286, 328, 341, 381]. |
....Report may be obtained from the Librarian, Oxford University Computing Laboratory, Programming Research Group, 11 Keble Road, Oxford OX1 3QD, England (Telephone: 44 865 273837, Email: library comlab.ox. ac.uk) Funded by the UK SERC under the Information Engineering Directorate SAFEMOS project (IED3 1 1036) Introduction This list of references is maintained in electronic form, in bibliography database format, which is compatible with the widely used L E Xdocument preparation system [175] It is intended to keep the bibliographyuptodate and to issue it to coincide with the regular Z ....
I.J. Hayes. A generalisation of bags in Z. In J.E. Nicholls, editor, Z User Workshop, Oxford1989.
....yet defined. ffl Sequences: Unit zseq defines the sequence operations. Distributed catenation, injective sequences, disjointness, and partitioning have not yet been defined. ffl Bags: Bags have not yet been transcribed. Ian Hayes has recently proposed some interesting modifications to bag theory [30]. We should probably transcribe this new version. Tables 1 and 2 show the specific EVES library functions corresponding to the notations used in the Z Toolkit. 5.1 Overview The intention of the transcription was not to create a faithful representation of the original, but rather to define the ....
Ian Hayes. A generalisation of bags in Z. In [39], 1990.
....is illustrated by specifying a bill ofmaterials system in the third chapter. This provides a good example of the paradigm of building a suitable mathematical theory first and then developing a specification in terms of the theory. 1 1 The first chapter of this report is an updated version of [Hay90] and the second and third chapters are updated versions of [Hay92] The changes from the original papers are mainly to make the notation consistent with [Spi92] and [Hay93] Contents 1 Multi sets or bags 3 1.1 Introduction : 3 1.2 ....
....be a specification of a real bill of materials system, but rather a realistic illustration of the utility of multi relations for specifying such systems. Throughout this paper we make use of the Z notation [Hay93, Spi92] and make extensive use of the theory and notations of multi sets developed in [Hay90]. In [Hay90] the more common term bag is used where, in this paper, we use the term multi set; this is to emphasise the correspondence between multi sets and multirelations. In addition, Hay90] allows frequencies of occurrence of elements in bags to be negative; we also allow negative ....
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I. J. Hayes. A generalisation of bags in Z. In J. E. Nicholls, editor, Z User Workshop: Proceedings of the Fourth Annual Z User Meeting, Oxford, December
....derived scale is determined for each physical quantity as a product of measurements on the base scales. Each derived scale may then be characterised by a simple polynomial in the base scales. We model such polynomials as a function returning the index of each base unit with a nonzero index [Hay89]. For example, the index functions of length and time units are fMetre 7 1g fSecond 7 1g and of the acceleration unit is fMetre 7 1; Second 7 Gamma2g: The set of all units contains all such representations of polynomials. UNIT = BASE (AE n f0g) The use of partial functions simplifies ....
I. J. Hayes. A generalisation of bags in Z. In J. E. Nicholls, editor, Proceedings of the Z User Meeting, Workshops in Computing, pages 113--127. Springer-Verlag, December 1989.
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I. J. Hayes. A generalisation of bags in Z. In Nicholls [271], pages 113--127. Proceedings of the Fourth Annual Z User Meeting, Wolfson College & Rewley House, Oxford, UK, 14--15 December 1989. Published in collaboration with the British Computer Society.For the opening address see [283]. For individual papers, see [27,60,61,83,102, 126, 143,160, 170,189,216, 265, 286, 328, 341, 381].
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