The concept of machine extension is a commonly used technique for implementing complex software: sets of object classes and operations on these objects are defined and used, often in a layered fashion, to construct the system. This paper addresses the adaptation of this technique to automatic programming. It discusses how such sets of data structures may be precisely specified, presents an axiomatization of a programming language suitable for machine verification, and shows how programs which realize these data structures may be proved correct. A range of data type classes is treated—including arrays, records, and pointers. Some new verification rules are presented to handle programs which use assignments and structured objects.
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Spitzen, J., Wegbreit, B. The verification and synthesis of data structures. Acta Informatica 4, 127–144 (1975). https://doi.org/10.1007/BF00288745
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