X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Fdidactic%2Fexercises%2Fshannon.ma;h=f978c91c55c40256a7b50dfb42581822691bf30d;hb=f524a0d716de2bdc0874aace8f82f6289034eccf;hp=f0a191729a95d8be7972a3a069a4b42f92b99760;hpb=ff6a1396270493dcf0e1f673f32a8213a8ce3751;p=helm.git diff --git a/helm/software/matita/library/didactic/exercises/shannon.ma b/helm/software/matita/library/didactic/exercises/shannon.ma index f0a191729..f978c91c5 100644 --- a/helm/software/matita/library/didactic/exercises/shannon.ma +++ b/helm/software/matita/library/didactic/exercises/shannon.ma @@ -1,3 +1,17 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| A.Asperti, C.Sacerdoti Coen, *) +(* ||A|| E.Tassi, S.Zacchiroli *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU Lesser General Public License Version 2.1 *) +(* *) +(**************************************************************************) + (* Esercizio 0 =========== @@ -392,7 +406,7 @@ case Left. = ([[ FOr (FAnd (FAtom x) (F[FTop/x])) (FAnd (FNot (FAtom x)) (F[FBot/x]))]]_v). = (max [[ (FAnd (FAtom x) (F[FTop/x])) ]]_v [[ (FAnd (FNot (FAtom x)) (F[FBot/x]))]]_v). = (max (min [[ FAtom x ]]_v [[ F[FTop/x] ]]_v) (min (1 - [[ FAtom x ]]_v) [[ F[FBot/x] ]]_v)). - = (max (min 0 [[ F[FTop/x] ]]_v) (min (1 - 0) [[ F[FBot/x] ]]_v)) by H. + = (max (min 0 [[ F[FTop/x] ]]_v) (min (1 - 0) [[ F[FBot/x] ]]_v)) by H1. = (max 0 (min 1 [[ F[FBot/x] ]]_v)). = (max 0 [[ F[FBot/x] ]]_v) by min_1_sem. = ([[ F[FBot/x] ]]_v). @@ -404,7 +418,7 @@ case Right. = ([[ FOr (FAnd (FAtom x) (F[FTop/x])) (FAnd (FNot (FAtom x)) (F[FBot/x]))]]_v). = (max [[ (FAnd (FAtom x) (F[FTop/x])) ]]_v [[ (FAnd (FNot (FAtom x)) (F[FBot/x]))]]_v). = (max (min [[ FAtom x ]]_v [[ F[FTop/x] ]]_v) (min (1 - [[ FAtom x ]]_v) [[ F[FBot/x] ]]_v)). - = (max (min 1 [[ F[FTop/x] ]]_v) (min (1 - 1) [[ F[FBot/x] ]]_v)) by H. + = (max (min 1 [[ F[FTop/x] ]]_v) (min (1 - 1) [[ F[FBot/x] ]]_v)) by H1. = (max (min 1 [[ F[FTop/x] ]]_v) (min 0 [[ F[FBot/x] ]]_v)). = (max [[ F[FTop/x] ]]_v (min 0 [[ F[FBot/x] ]]_v)) by min_1_sem. = (max [[ F[FTop/x] ]]_v 0).