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@ -1,7 +1,7 @@
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% use [nosolutions] flag to hide solutions.
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% use [solutions] flag to show solutions.
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\documentclass[
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nosolutions,
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solutions,
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singlenumbering
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]{../../resources/ormc_handout}
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@ -12,11 +12,7 @@ This tells us that $I$ is a function that takes its input, $a$, to itself. We'll
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To apply functions, put them next to their inputs. We'll omit the usual parentheses to save space.
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$$
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I ~ \star = (\lm a . a) ~ \star = \star
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$$
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$$
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(M~\star) =
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(I~\star) =
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(\lm \tzm{b}a. a)~\tzmr{a}\star =
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\star
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\begin{tikzpicture}[
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@ -1,6 +1,6 @@
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\section{Boolean Algebra}
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The Kestrel selects its first argument, and the Kite selects its second. This \say{choosing} behavior is awfully similar to something you may have already seen...
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The Kestrel selects its first argument, and the Kite selects its second. This \say{choosing} behavior is similar to something you may have already seen...
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\vspace{1ex}
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@ -58,7 +58,7 @@ How about $(8~NOT~F)$?
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\problem{}
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This handout may remind you of Professor Oleg's handout on Peano's axioms. Good. \\
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While you're there, recall the tools we used to build the natural numbers: \\
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Recall the tools we used to build the natural numbers: \\
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We had a zero element and a \say{successor} operation so that $1 \coloneqq S(0)$, $2 \coloneqq S(1)$, and so on.
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\vspace{1ex}
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@ -1,7 +1,6 @@
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\section{Challenges}
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Do \ref{Yfac} first, then finish the rest in any order. \\
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Have fun!
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\problem{}<Yfac>
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Design a recursive factorial function using $Y$. \\
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