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Conscriptions: A New Relational Model for Sequential Computations

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Unifying Theories of Programming (UTP 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7681))

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Abstract

We define a new class of UTP homogeneous binary relations called conscriptions, which like prescriptions provide a general-correctness model of sequential computations. Their novelty is that the skip conscription is a right unit of sequential composition for all conscriptions, including even those whose assumptions refer to the after-state as well as before-state; they thus improve on prescriptions by providing a less restricted, and hence more expressive, general-correctness model for sequential computations. We also exploit our conscription concept to derive two new enriched sequential models, extended conscriptions and timed conscriptions, which differentiate between aborting and non-terminating computations.

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References

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Dunne, S. (2013). Conscriptions: A New Relational Model for Sequential Computations. In: Wolff, B., Gaudel, MC., Feliachi, A. (eds) Unifying Theories of Programming. UTP 2012. Lecture Notes in Computer Science, vol 7681. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35705-3_7

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  • DOI: https://doi.org/10.1007/978-3-642-35705-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35704-6

  • Online ISBN: 978-3-642-35705-3

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