| Quellcodebibliothek Statistik Leitseite products/sources/formale Sprachen/Isabelle/HOL/ex/ (Beweissystem Isabelle Version 2025-1©) Datei vom 16.11.2025 mit Größe 1 kB |
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Quelle Conditional_Parametricity_Examples.thy Sprache: Isabelle |
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(* Title: HOL/ex/Conditional_Parametricity_Examples.thy
Author: Jan Gilcher, Andreas Lochbihler, Dmitriy Traytel, ETH Zürich Examples for the parametric_constant command *) theory Conditional_Parametricity_Examples imports "HOL-Library.Conditional_Parametricity" begin definition "bar x xs = rev (x # xs)" parametric_constant bar_def definition bar2 where "bar2 = bar" parametric_constant bar2_def parametric_constant bar_thm[transfer_rule]: bar_def parametric_constant bar2_thm1: bar2_def definition "t1 y x = zip x y" parametric_constant t1_thm: t1_def definition "t2 f x = f (rev x)" parametric_constant t2_thm: t2_def definition "t3 xs = rev (rev (xs :: 'b list))" parametric_constant t3_thm: t3_def definition "t4 f x = rev (f x (f x (rev x)))" parametric_constant t4_thm: t4_def definition "t5 x y = zip x (rev y)" parametric_constant t5_thm: t5_def (* Conditional Parametricity*) definition "t6_1 x y = inf y x" parametric_constant t6_1_thm: t6_1_def definition "t6_2 x y = sup y x" parametric_constant t6_2_thm: t6_2_def definition "t6_3 x z y = sup (inf x y) z" parametric_constant t6_3_thm: t6_3_def definition "t6_4 x xs y = map (sup (inf y x)) xs" parametric_constant t6_4_thm: t6_4_def definition "t7 x y = (y = x)" parametric_constant t7_thm: t7_def definition "t8 x y = ((x=y) \ parametric_constant t8_thm: t8_def (* Definition via primrec*) primrec delete where "delete _ [] = []" | "delete x (y # ys) = (if x = y then ys else y # (delete x ys))" parametric_constant delete_thm: delete_def definition "foo f x y = (if f x = f y then x else sup y x)" parametric_constant foo_parametricity: foo_def end ¤ Dauer der Verarbeitung: 0.12 Sekunden (vorverarbeitet) ¤*© Formatika GbR, Deutschland |
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2026-03-28