# HG changeset patch # User Markus Kaiser # Date 1386023726 -3600 # Node ID b5094b3e3111f07d55c6844ab16dab676277e6f9 # Parent cedc6884dd4651776579f7dcef1317daf0668f36 reorganize units; fix spacing in calculus rules; fix small old errors diff -r cedc6884dd46 -r b5094b3e3111 notes/tex/intro.tex --- a/notes/tex/intro.tex Mon Dec 02 11:04:23 2013 +0100 +++ b/notes/tex/intro.tex Mon Dec 02 23:35:26 2013 +0100 @@ -39,7 +39,7 @@ \item Geheftet, Handschriftlich, Deckblatt \item \structure{Teams aus 3 oder 4 Stundenten} \item Teams nicht änderbar, nicht gruppenübergreifend - \item Üblicherweise etwa so schwer wie Klausuraufgaben + \item Üblicherweise schwerer als Klausurstoff \end{itemize} \vspace{0.5em} \item Notenbonus diff -r cedc6884dd46 -r b5094b3e3111 notes/tex/logic.tex --- a/notes/tex/logic.tex Mon Dec 02 11:04:23 2013 +0100 +++ b/notes/tex/logic.tex Mon Dec 02 23:35:26 2013 +0100 @@ -183,7 +183,7 @@ Für $F \defeq a \rightarrow b$ und $G \defeq \neg a \vee b$ gilt $F \equiv G$. \begin{center} \begin{tabu} to .4\textwidth {cc|[1.2pt]XcX||Xccc} - a & b & & $a \Rightarrow b$ & & & $\neg a$ & $\vee$ & $b$ \\ \tabucline[1.2pt]{-} + a & b & & $a \rightarrow b$ & & & $\neg a$ & $\vee$ & $b$ \\ \tabucline[1.2pt]{-} 0 & 0 & & \structure{1} & & & 1 & \structure{1} \\ 0 & 1 & & \structure{1} & & & 1 & \structure{1} \\ 1 & 0 & & \structure{0} & & & 0 & \structure{0} \\ @@ -540,7 +540,7 @@ \end{frame} } -\defineUnit{natuerlichesschliessen}{% +\defineUnit{kalkuele}{% \begin{frame} \frametitle{Kalküle} \setbeamercovered{dynamic} @@ -585,7 +585,9 @@ \item Deshalb sind nicht alle Sätze der Mathematik beweisbar \end{itemize} \end{frame} +} +\defineUnit{natuerlichesschliessen}{% { \newcommand{\F}{\tau} \newcommand{\G}{\varphi} @@ -604,16 +606,16 @@ \bottomAlignProof \DisplayProof } + \newcommand{\capt}[1]{\vspace{-1em}##1} \begin{frame} \frametitle{Natürliches Schließen} \setbeamercovered{dynamic} - \vspace{-4pt} \tabulinesep=4pt \begin{tabu} to \textwidth {X[c,m,.5]|[1pt]X[c,b,5]X[c,b,5]} & \structure{Introduktion} & \structure{Elimination}\\\tabucline[1pt]{-} - $\wedge$ & + \capt{$\wedge$} & \topproof{ \AxiomC{$\F$} \AxiomC{$\G$} @@ -633,7 +635,7 @@ \UnaryInfC{$\G$} } \\ - $\vee$ & + \capt{$\vee$} & \topproof{ \AxiomC{$\F$} \RightLabel{\scriptsize $+\vee_1$} @@ -654,7 +656,7 @@ \TrinaryInfC{$\K$\vphantom{$\F\G$}} } \\ - $\rightarrow$ & + \capt{$\rightarrow$} & \topproof{ \AxiomC{\subproof{$\F$}{$\G$}} \RightLabel{\scriptsize $+\rightarrow$} @@ -668,7 +670,7 @@ \BinaryInfC{$\G$} } \\ - $\neg$ & + \capt{$\neg$} & \topproof{ \AxiomC{\subproof{$\F$}{$\bot$}} \RightLabel{\scriptsize $+\neg$} @@ -688,11 +690,10 @@ \frametitle{Natürliches Schließen} \setbeamercovered{dynamic} - \vspace{-4pt} \tabulinesep=4pt \begin{tabu} to \textwidth {X[c,m,.5]|[1pt]X[c,b,5]X[c,b,5]} & \structure{Introduktion} & \structure{Elimination}\\\tabucline[1pt]{-} - $\bot$ & + \capt{$\bot$} & & \topproof{ \AxiomC{$\bot$} @@ -700,7 +701,7 @@ \UnaryInfC{$\F$} } \\ - $\neg\neg$ & + \capt{$\neg\neg$} & \topproof{ \AxiomC{$\F$} \RightLabel{\scriptsize $+\neg\neg$} diff -r cedc6884dd46 -r b5094b3e3111 notes/tex/ue05_notes.tex --- a/notes/tex/ue05_notes.tex Mon Dec 02 11:04:23 2013 +0100 +++ b/notes/tex/ue05_notes.tex Mon Dec 02 23:35:26 2013 +0100 @@ -8,5 +8,6 @@ \begin{document} \showUnit{titel} \showUnit{resolution} +\showUnit{kalkuele} \showUnit{natuerlichesschliessen} \end{document} diff -r cedc6884dd46 -r b5094b3e3111 notes/tex/ue06_notes.tex --- a/notes/tex/ue06_notes.tex Mon Dec 02 11:04:23 2013 +0100 +++ b/notes/tex/ue06_notes.tex Mon Dec 02 23:35:26 2013 +0100 @@ -9,5 +9,4 @@ \showUnit{titel} \showUnit{praedikatenlogiksyntax} \showUnit{praedikatenlogikstruktur} -\showUnit{relationeneigenschaften} \end{document}