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      Retrenchment: Extending Refinement for Continuous and Control Systems

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      4th Irish Workshop on Formal Methods (IWFM)

      Formal Methods

      5th-6th July 2000

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          Abstract

          Discussion of a radiation dose calculation example demonstrates various expressive limitations of the refinement calculus, particularly for systems with continuous variables. A liberalization of refinement, called retrenchment, is proposed, which will support an analogous formal development calculus. Useful concrete system behaviour can be specified outside the domain of pure refinement, in particular behaviour under controlled precision decay.

          A syntax and a formal definition are presented for retrenchment in the B notation of J.-R. Abrial. Necessary transitivity and monotonicity properties for a formal development calculus are stated. A generalisation, evolving retrenchment, is proposed, and a simple example demonstrates its utility, by analogy, in control systems applications. Evolution in retrenchment is demonstrated to offer the expressive power to describe useful simulation-like behaviour, with evolving precision, in software for control systems. Finally, the dosimetry problem demonstrates the architectural value of retrenchment for the formal construction of continuous systems.

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          Author and article information

          Contributors
          Conference
          July 2000
          July 2000
          : 1-19
          Affiliations
          []Faculty of Mathematics and Computing

          Open University, Walton Hall, Milton Keynes MK7 6AL, UK
          []Department of Computer Science, Manchester University

          Manchester M13 9PL, UK
          Article
          10.14236/ewic/IWFM2000.6
          © M.R. Poppleton et al. Published by BCS Learning and Development Ltd. 4th Irish Workshop on Formal Methods

          This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

          4th Irish Workshop on Formal Methods
          IWFM
          4
          Maynooth, Ireland
          5th-6th July 2000
          Electronic Workshops in Computing (eWiC)
          Formal Methods
          Product
          Product Information: 1477-9358BCS Learning & Development
          Self URI (journal page): https://ewic.bcs.org/
          Categories
          Electronic Workshops in Computing

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