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Fix TRules getting swapped
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Pi-Cla authored and rzach committed Apr 28, 2024
1 parent 6c541de commit ff5160f
Showing 1 changed file with 4 additions and 4 deletions.
8 changes: 4 additions & 4 deletions content/normal-modal-logic/tableaux/rules-for-K.tex
Original file line number Diff line number Diff line change
Expand Up @@ -108,20 +108,20 @@
prefix~$\sigma$ is $\sigma.n$. However, which $n$ is allowed depends
on whether the sign is~$\True$ or~$\False$.

\iftag{prvBox}{The $\TRule{\Box}{\True}$ rule extends a branch
\iftag{prvBox}{The $\TRule{\True}{\Box}$ rule extends a branch
containing $\sFmla{\True}{\Box !A}[\sigma]$ by
$\sFmla{\True}{!A}[\sigma.n]$.\iftag{prvDiamond}{ Similarly,
t}{}}{T}\iftag{prvDiamond}{he $\TRule{\Diamond}{\False}$ rule
t}{}}{T}\iftag{prvDiamond}{he $\TRule{\False}{\Diamond}$ rule
extends a branch containing $\sFmla{\False}{\Diamond !A}[\sigma]$ by
$\sFmla{\False}{!A}[\sigma.n]$.}{}
\iftag{notprvBox,notprvDiamond}{It}{They} can only be applied for a
prefix~$\sigma.n$ which \emph{already} occurs on the branch in which
it is applied. Let's call such a prefix ``used'' (on the branch).

\iftag{prvBox}{The $\TRule{\Box}{\False}$ rule extends a branch
\iftag{prvBox}{The $\TRule{\False}{\Box}$ rule extends a branch
containing $\sFmla{\False}{\Box !A}[\sigma]$ by
$\sFmla{\False}{!A}[\sigma.n]$.\iftag{prvDiamond}{ Similarly,
t}{}}{T}\iftag{prvDiamond}{he $\TRule{\Diamond}{\True}$ rule extends
t}{}}{T}\iftag{prvDiamond}{he $\TRule{\True}{\Diamond}$ rule extends
a branch containing $\sFmla{\True}{\Diamond !A}[\sigma]$ by
$\sFmla{\True}{!A}[\sigma.n]$.}{}
\iftag{notprvBox,notprvDiamond}{This rule}{These rules}, however, can
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