From 435bde9865636c62c1ceacb41320b003e419c35c Mon Sep 17 00:00:00 2001 From: paul-loedige Date: Sun, 7 Feb 2021 22:43:28 +0100 Subject: [PATCH] =?UTF-8?q?Bilder=20f=C3=BCr=20Resolutionsalgorithmen=20hi?= =?UTF-8?q?nzugef=C3=BCgt?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Readme.md | 4 +++- chapters/Logik/Aussagenlogik.tex | 6 +----- chapters/Logik/Beweisverfahren.tex | 2 ++ chapters/Logik/Prädikatenlogik.tex | 1 + images/aussagenlogik_äquivalenzen.png | Bin 80479 -> 93300 bytes images/pränexform_äquivalenzen.png | Bin 67100 -> 85000 bytes 6 files changed, 7 insertions(+), 6 deletions(-) diff --git a/Readme.md b/Readme.md index 3984c0c..807c13e 100644 --- a/Readme.md +++ b/Readme.md @@ -16,7 +16,9 @@ Dieses Repo beinhaltet die $\LaTeX$ Informationen für die Zusammenfassung im Fa - [x] Normalisierung - [x] Fehlerbasiertes Lernen - [x] Backpropagation -- [ ] Äquivalenztabelle (Aussagenlogik) +- [x] Äquivalenztabelle aus Übung 5 (Aussagenlogik) +- [x] Resolutionsalgorithmus (Hypothese wird negiert hinzugefügt) +- [x] Äquivalenztabelle aus Übung 6 (Prädikatenlogik) ## Hinweise Requires you to enable [--shell escape](https://tex.stackexchange.com/questions/516604/how-to-enable-shell-escape-or-write18-visual-studio-code-latex-workshop) diff --git a/chapters/Logik/Aussagenlogik.tex b/chapters/Logik/Aussagenlogik.tex index c0fb894..f3bca15 100644 --- a/chapters/Logik/Aussagenlogik.tex +++ b/chapters/Logik/Aussagenlogik.tex @@ -26,8 +26,4 @@ \section{Äquivalenzen} \label{aussagenlogik: aequivalenzen} - \begin{figure} - \vspace{-10mm} - \includegraphics[width = .8\textwidth]{aussagenlogik_äquivalenzen.png} - \vspace{-10mm} - \end{figure} \ No newline at end of file + \includegraphics[width = .8\textwidth]{aussagenlogik_äquivalenzen.png} \ No newline at end of file diff --git a/chapters/Logik/Beweisverfahren.tex b/chapters/Logik/Beweisverfahren.tex index bb00264..e5cf037 100644 --- a/chapters/Logik/Beweisverfahren.tex +++ b/chapters/Logik/Beweisverfahren.tex @@ -58,6 +58,8 @@ \label{resolutionsalgorithmus} \begin{center} \includegraphics[width = .6\textwidth]{resolutionsalgorithmus1.png}\\ + Die Hypothese wird der Wissensbasis negiert hinzugefügt. + Falls sich die Klausel dann zur leeren Menge ableiten lässt ist die Hypothese bewiesen.\\ \includegraphics[width = .2\textwidth]{resolutionsalgorithmus2.png} \end{center} diff --git a/chapters/Logik/Prädikatenlogik.tex b/chapters/Logik/Prädikatenlogik.tex index e05118c..609c3f6 100644 --- a/chapters/Logik/Prädikatenlogik.tex +++ b/chapters/Logik/Prädikatenlogik.tex @@ -162,4 +162,5 @@ \section{Resolutionsalgorithmus} \label{praedikatenlogik: resolutionsalgorithmus} + Wie bei der Aussagenlogik muss für die Resolution die negierte Hypothese der Wissensbasis hinzugefügt werden (\ref{resolutionsalgorithmus}).\\ \includegraphics[width = .8\textwidth]{prädikatenlogik_resolutionsalgorithmus.png} \ No newline at end of file diff --git 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