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authorSebastiano Tronto <sebastiano.tronto@gmail.com>2020-09-06 18:28:58 +0200
committerSebastiano Tronto <sebastiano.tronto@gmail.com>2020-09-06 18:28:58 +0200
commitf0e201749eff213a0d9a9d3d5be6352dbaa38e26 (patch)
treed77773ee2d911a9af80f16f73f3de0b99c694521 /slides/preplogic-slides.tex
parent4ca009f025a29351bcf1160cd68d513f04687713 (diff)
downloadpreplogic-f0e201749eff213a0d9a9d3d5be6352dbaa38e26.tar.gz
preplogic-f0e201749eff213a0d9a9d3d5be6352dbaa38e26.zip
Updates, added README
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diff --git a/slides/preplogic-slides.tex b/slides/preplogic-slides.tex
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@@ -21,11 +21,10 @@
21 21
22 22
23\newcommand{\refgithub}{ 23\newcommand{\refgithub}{
24 \begin{itemize} 24 \textbf{Slides and exercises:} \\
25 \item \textbf{These slides:} 25 \hspace{20pt}\texttt{https://github.com/sebastianotronto/preplogic} \\
26 \item \textbf{Exercises:} 26 \textbf{Email:} \\
27 \item \textbf{Contact:} \texttt{sebastiano.tronto@uni.lu} 27 \hspace{20pt}\texttt{sebastiano.tronto@uni.lu}
28 \end{itemize}
29} 28}
30 29
31\begin{document} 30\begin{document}
@@ -35,12 +34,8 @@
35\end{frame} 34\end{frame}
36 35
37\begin{frame} 36\begin{frame}
38 \begin{columns}
39 \column{0.5\linewidth}
40 \tableofcontents 37 \tableofcontents
41 \column{0.5\linewidth}
42 \refgithub 38 \refgithub
43 \end{columns}
44\end{frame} 39\end{frame}
45 40
46 41
@@ -204,7 +199,7 @@ Mathematician: ``Yes.''
204 \end{align*}} 199 \end{align*}}
205\end{frame} 200\end{frame}
206 201
207\subsection{Boolean algebra} 202%\subsection{Boolean algebra}
208 203
209\begin{frame}{Boolean algebra} 204\begin{frame}{Boolean algebra}
210 \begin{itemize} 205 \begin{itemize}
@@ -215,7 +210,7 @@ Mathematician: ``Yes.''
215 \end{itemize} 210 \end{itemize}
216\end{frame} 211\end{frame}
217 212
218\subsection{Truth tables} 213%\subsection{Truth tables}
219 214
220\begin{frame}{Truth tables} 215\begin{frame}{Truth tables}
221 A compact way of describing an operator, or a composition of operators 216 A compact way of describing an operator, or a composition of operators
@@ -330,11 +325,22 @@ Mathematician: ``Yes.''
330\end{frame} 325\end{frame}
331 326
332\begin{frame}{End of part 1} 327\begin{frame}{End of part 1}
333 See you tomorrow! 328 \begin{center}
329 \Huge See you tomorrow!
330 \end{center}
331 \vspace{10pt}
332 \refgithub
333\end{frame}
334 334
335\begin{frame}{Elementary logic - part 2}
336 \begin{center}
337 \Huge Welcome Back!
338 \end{center}
339 \vspace{10pt}
335 \refgithub 340 \refgithub
336\end{frame} 341\end{frame}
337 342
343
338\section{Quantifiers} 344\section{Quantifiers}
339 345
340\begin{frame}{Quantifiers} 346\begin{frame}{Quantifiers}
@@ -408,7 +414,7 @@ Mathematician: ``Yes.''
408 \end{itemize} 414 \end{itemize}
409\end{frame} 415\end{frame}
410 416
411\subsection{Direct proofs} 417%\subsection{Direct proofs}
412\begin{frame}{Example: direct proof} 418\begin{frame}{Example: direct proof}
413 \begin{theorem} 419 \begin{theorem}
414 The sum of two even numbers is even. 420 The sum of two even numbers is even.
@@ -430,7 +436,7 @@ Mathematician: ``Yes.''
430\end{frame} 436\end{frame}
431 437
432 438
433\subsection{Proofs by contradiction} 439%\subsection{Proofs by contradiction}
434 440
435\begin{frame}{Proofs by contradiction} 441\begin{frame}{Proofs by contradiction}
436 Idea: I want to show $A=\textbf{true}$. I show that the implication 442 Idea: I want to show $A=\textbf{true}$. I show that the implication
@@ -472,7 +478,7 @@ Mathematician: ``Yes.''
472\end{frame} 478\end{frame}
473 479
474 480
475\subsection{Proofs by induction} 481%\subsection{Proofs by induction}
476 482
477\begin{frame}{Proofs by induction} 483\begin{frame}{Proofs by induction}
478 If I want to prove $\forall n\in \mathbb N,\, A(n)$: 484 If I want to prove $\forall n\in \mathbb N,\, A(n)$:

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