diff options
Diffstat (limited to 'slides/preplogic-slides.tex')
| -rw-r--r-- | slides/preplogic-slides.tex | 36 |
1 files changed, 21 insertions, 15 deletions
diff --git a/slides/preplogic-slides.tex b/slides/preplogic-slides.tex index 0dbbc0b..5194ebf 100644 --- a/slides/preplogic-slides.tex +++ b/slides/preplogic-slides.tex | |||
| @@ -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 $\forall n\in \mathbb N,\, A(n)$: |
