Abstract
We propose a formulation of an induction principle for diamond-free partial orders, which can be considered as a generalization of one of the variants of the real induction principle. This principle may be useful for specification and verification of non-discrete systems using interactive proof assistant software. As an example, a formalization in Isabelle proof assistant is presented.
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APPENDIX: Isabelle Formalization
APPENDIX: Isabelle Formalization
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Ivanov, I. (2021). On Induction Principles for Diamond-Free Partial Orders. In: Bollin, A., et al. Information and Communication Technologies in Education, Research, and Industrial Applications. ICTERI 2020. Communications in Computer and Information Science, vol 1308. Springer, Cham. https://doi.org/10.1007/978-3-030-77592-6_8
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DOI: https://doi.org/10.1007/978-3-030-77592-6_8
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