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[OPT/TP2] Fin.

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Suwako Moriya 2020-09-12 18:39:51 +02:00
parent f5987060a4
commit b78287580f
Signed by: SuwakoMmh
GPG Key ID: A27482B806F13CD5
9 changed files with 438 additions and 3 deletions
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\relax
\@writefile{toc}{\contentsline {section}{\numberline {III}Forme normale disjonctive}{1}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {III.1}Question :}{1}\protected@file@percent }

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\documentclass[a4paper,10pt]{article}
%\documentclass[a4paper,10pt]{scrartcl}
\usepackage{mathtools}
\usepackage{listings}
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\usepackage[utf8]{inputenc}
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\title{Questions du TP2}
\author{}
\date{}
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\begin{document}
\maketitle
\sectioni{3}{Forme normale disjonctive}
\subsectioni{1}{Question :}
On se sert du code écrit aux questions précédentes,
\begin{lstlisting}
# table_de_verite 3 g;;
- : bool array = [|true; false; true; false; true; false; false; true|]
\end{lstlisting}
$\mathcal{G} =
(\neg V_2 \wedge \neg V_1 \wedge \neg V_0) \vee
(\neg V_2 \wedge V_1 \wedge \neg V_0) \vee
(V_2 \wedge \neg V_1 \wedge \neg V_0) \vee
(V_2 \wedge V_1 \wedge V_0)
$
\end{document}

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SPE/OPT/TP 2/main.ml
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@ -19,15 +19,20 @@ let rec evaluer_tab t form = match form with
| Or (h::tail) -> (evaluer_tab t h) || (evaluer_tab t (Or tail));;
5 lsr 1;;
let evaluer n c f =
let contexte_from_int n c =
let contexte = Array.make n false in
let j = ref c in
for i = 0 to n-1 do
contexte.(i) <- !j mod 2 = 0;
contexte.(i) <- !j mod 2 <> 0;
j := !j lsr 1
done;
contexte;;
let evaluer n c f =
let contexte = contexte_from_int n c in
evaluer_tab contexte f;;
evaluer 3 0 f;;
evaluer 3 3 g;;
let table_de_verite n f =
let rec puis n a = match n with
@ -40,3 +45,23 @@ let table_de_verite n f =
res;;
table_de_verite 3 g;;
let forme_normale_disjonctive n f =
let rec puis n a = match n with
| 0 -> 1
| _ -> a * (puis (n-1) a) in
let rec disjonction c conjs =
let rec conjonction cont conj n = match n with
| -1 -> And conj
| _ -> conjonction cont ((if cont.(n) then (Var n) else Not (Var n))::conj) (n-1) in
match c with
| -1 -> Or conjs
| _ -> let contexte = context_from_int n c in
if evaluer_tab contexte f then
disjonction (c-1) ((conjonction contexte [] (n-1))::conjs)
else
disjonction (c-1) conjs in
disjonction ((puis n 2) -1) [];;
forme_normale_disjonctive 3 g;;

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