Mark/handouts
1
0
Fork 0
Code Pull Requests 1 Actions Packages Releases Activity

Minor cleanup

Browse Source
This commit is contained in:
Mark
2023-10-04 09:42:09 -07:00
parent 0744a88c00
commit ab410dbe74
6 changed files with 73 additions and 71 deletions
Download Patch File Download Diff File Expand all files Collapse all files

10
Advanced/Lambda Calculus/parts/02 boolean.tex
View File

@ -4,16 +4,16 @@ The Kestrel selects its first argument, and the Kite selects its second. This \s
\vspace{1ex}
Let $T = K\phantom{I} = \lm ab . a$ \\
Let $F = KI = \lm ab . b$ \\
Let $T = K\phantom{I} = \lm ab . a$ \par
Let $F = KI = \lm ab . b$
\problem{}
Write a function $\text{NOT}$ so that $(\text{NOT} ~ T) = F$ and $(\text{NOT}~F) = T$. \\
Write a function $\text{NOT}$ so that $(\text{NOT} ~ T) = F$ and $(\text{NOT}~F) = T$. \par
\hint{What is $(T~\heartsuit~\star)$? How about $(F~\heartsuit~\star)$?}
\begin{solution}
$\text{NOT} = \lm a . (a~F~T)$ \\
$\text{NOT} = \lm a . (a~F~T)$
\end{solution}
\vfill
@ -51,7 +51,7 @@ Write functions $\text{AND}$, $\text{OR}$, and $\text{XOR}$ that satisfy the fol
\vfill
\problem{}
To complete our boolean algebra, write the boolean equality check EQ. \\
To complete our boolean algebra, write the boolean equality check EQ. \par
What inputs should it take? What outputs should it produce?
\begin{solution}