Abstract
The main purpose of this paper is to investigate whether the relationship between the categories of total functions, relations and predicate transformers described in [7] can be used to develop a calculus of predicate transformers for program derivation in the style of [13] directly from the well established calculus of functions [2]. The results are mixed in the sense that although many laws of the functional calculus can be generalised to predicate transformers, they must be weakened in order to do so.
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Martin, C. (1995). Towards a calculus of predicate transformers. In: Wiedermann, J., Hájek, P. (eds) Mathematical Foundations of Computer Science 1995. MFCS 1995. Lecture Notes in Computer Science, vol 969. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60246-1_154
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DOI: https://doi.org/10.1007/3-540-60246-1_154
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