Abstract
We study partial and total correctness proof methods based on generalized fixpoint/iteration/variant induction principles applied to the denotational semantics of first-order functional and iterative programs.
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Notes
- 1.
Notice that with our choice of \(\mathcal {Q}\), this is not necessarily true for chains that are not \(F_{\texttt {W}}\)-iterations.
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Acknowledgements
I thank Francesco Ranzato for comments and suggestions on earlier versions of the paper. Work supported in part by NSF Grant CCF-1617717.
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Cousot, P. (2020). On Fixpoint/Iteration/Variant Induction Principles for Proving Total Correctness of Programs with Denotational Semantics. In: Gabbrielli, M. (eds) Logic-Based Program Synthesis and Transformation. LOPSTR 2019. Lecture Notes in Computer Science(), vol 12042. Springer, Cham. https://doi.org/10.1007/978-3-030-45260-5_1
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