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Titlebook: Refinement Calculus; A Systematic Introdu Ralph-Johan Back,Joakim Wright Textbook 1998 Springer Science+Business Media New York 1998 calcul

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Correctness and Refinement of Statements program specifications, games, and, of course, contracts and agreements. The predicate transformer semantics was originally designed for reasoning about the correctness of program statements. We will show below how to use predicate transformers to reason about correctness-preserving program refinements.
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https://doi.org/10.1007/978-1-4612-1674-2calculus; computer science; iteration; logic; semantics
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Truth Valuesuth values form a complete Boolean lattice. Here we describe the general inference rules that are available for reasoning about Boolean lattices. The basic inference rules for truth values are then special cases of these general rules. Furthermore, inference rules for quantification follow from the fact the truth values form a complete lattice.
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