Stronger compositions for retrenchments

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Stronger compositions for retrenchments

Noting that the usual ‘propositionally’ based way of composing retrenchments can yield many ‘junk’ cases, alternative approaches to composition are introduced (via notions of tidy, neat, and fastidious retrenchments) that behave better in this regard. These alternatives do however make other issues such as associativity harder. The technical details are presented for vertical composition of ret...

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Output Retrenchments , Defaults , Stronger Compositions , Feature Engineering

Output retrenchment, a type of retrenchment in which when the retrieve relation is reestablished for an after-state, it is strengthened by a relation on outputs, is introduced and studied. The output relation balances syntactically the statements that can be made about the 'successful transitions', as against the statements that can be made about the transitions that merely establish the conced...

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Minimally and Maximally Abstract Retrenchments

The drawbacks of using refinement alone in the construction of specifications from simple abstract models is used as the spur for the introduction of retrenchment — a method based on the main ideas of refinement but one which is more liberal in character. The basics of the retrenchment mechanism are reviewed in preparation for exploring its integration with refinement. The particular aspect of ...

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Reconciling Retrenchments and Refinements

The more obvious and well known drawbacks of using refinement as the sole means of progressing from an abstract model to a concrete implementation are reviewed. Retrenchment is presented in a simple partial correctness framework as a more flexible development concept for formally capturing the early otherwise preformal stages of development, and briefly justified. Given both a retrenchment of a...

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Reconciling Retrenchments and Refinements II

The drawbacks of using refinement alone in the construction of specifications from simple abstract models is used as the spur for the introduction of retrenchment, a method based on the main ideas of refinement, but one which is more liberal in character. The basics of the retrenchment mechanism are reviewed in preparation for exploring its integration with refinement. The particular aspect of ...

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ژورنال

عنوان ژورنال: The Journal of Logic and Algebraic Programming

سال: 2010

ISSN: 1567-8326

DOI: 10.1016/j.jlap.2009.10.002