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fix typos in lecutre 5 #71

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fix typos in lecutre 5 #71

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4 changes: 2 additions & 2 deletions Vorlesungen/lecture-05.tex
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Original file line number Diff line number Diff line change
Expand Up @@ -323,7 +323,7 @@
[{$\{\{\}\}=\{\bot\}$}, eqnode, visible on=<5->]
%
[{$\{\{\neg A\},\{\neg A, \neg B\}, \{A, B\}, \{\neg B, \neg C\},\{B, C\}, \{\neg C, \neg A\},\{A, B, C\}\}$}, vel={$A\mapsto\bot$}, visible on=<6->]
[{$\{\{B\}, \{\neg B, \neg C\},\{B, C\},\{A, B, C\}\}$}, eqnode, visible on=<7->]
[{$\{\{B\}, \{\neg B, \neg C\},\{B, C\},\{B, C\}\}$}, eqnode, visible on=<7->]
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@mmarx mmarx Apr 30, 2026 •
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wollen wir das doppelte \{B, C\} hier behalten oder gleich kuerzen?

[{$\{\{\neg C\}\}$}, eqnode, visible on=<8->]
[{$\{\}=\top$}, eqnode, visible on=<9->]
]
Expand Down Expand Up @@ -357,7 +357,7 @@

\emph{Beweis:}
Die Vereinfachungen produzieren äquivalente Formeln (unter den gewählten Belegungen), weil das Löschen von Klauseln oder Literalen
Sonderformen der bereits bekannten Äquivalenumformungen sind.
Sonderformen der bereits bekannten Äquivalenzumformungen sind.
\medskip\pause

Korrektheit folgt durch Induktion über Zahl $k$ der Atome in $\mathcal{F}$ den Vereinfachungen\pause:
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