From db535e5c3035030bc1089528ad5fc12b9eef14ad Mon Sep 17 00:00:00 2001
From: braxtonhall
Date: Mon, 24 Oct 2022 12:34:39 -0700
Subject: Add Paulette

---
 entries/pkoronkevich/tex/README.md  |   1 +
 entries/pkoronkevich/tex/fib.tex    |  28 ++++++++++++++++++++++++++++
 entries/pkoronkevich/tex/render.pdf | Bin 0 -> 21761 bytes
 entries/pkoronkevich/tex/render.png | Bin 0 -> 297404 bytes
 4 files changed, 29 insertions(+)
 create mode 100644 entries/pkoronkevich/tex/README.md
 create mode 100644 entries/pkoronkevich/tex/fib.tex
 create mode 100644 entries/pkoronkevich/tex/render.pdf
 create mode 100644 entries/pkoronkevich/tex/render.png

(limited to 'entries/pkoronkevich')

diff --git a/entries/pkoronkevich/tex/README.md b/entries/pkoronkevich/tex/README.md
new file mode 100644
index 0000000..225773b
--- /dev/null
+++ b/entries/pkoronkevich/tex/README.md
@@ -0,0 +1 @@
+<img src="./render.png" alt="fib.tex preview">
\ No newline at end of file
diff --git a/entries/pkoronkevich/tex/fib.tex b/entries/pkoronkevich/tex/fib.tex
new file mode 100644
index 0000000..22781d1
--- /dev/null
+++ b/entries/pkoronkevich/tex/fib.tex
@@ -0,0 +1,28 @@
+\documentclass[11pt]{article}
+\usepackage[fleqn]{amsmath}
+
+\newcommand{\one}{\lambda f . \lambda x . f \ x}
+\newcommand{\two}{\lambda f . \lambda x . f \ (f \ x)}
+\newcommand{\tru}{\lambda x . \lambda y . x}
+\newcommand{\flse}{\lambda x . \lambda y . y}
+\newcommand{\isz}{\lambda n . n \ (\lambda c . \flse) \ \tru}
+\newcommand{\ife}{\lambda p . \lambda a . \lambda b . p \ a \ b}
+\newcommand{\suc}{\lambda n . \lambda f . \lambda x . f \ (n \ f \ x)}
+\newcommand{\plus}{\lambda m . \lambda n . m \ (\suc) \ n}
+\newcommand{\pred}{\lambda n . \lambda f . \lambda x . n \ (\lambda g . \lambda h . h \ (g \ f)) \ (\lambda u . x) \ (\lambda u . u)}
+\newcommand{\sub}{\lambda m . \lambda n . n \ (\pred) \ m}
+\newcommand{\fix}{\lambda g . (\lambda x . g \ (x \ x)) \ (\lambda x . g \ (x \ x))}
+\newcommand{\appo}[2]{#1 \ #2}
+\newcommand{\appt}[3]{#1 \ #2 \ #3}
+
+\begin{document}
+\begin{gather*}
+  \fix \\                                   % recursive function application
+  \quad \lambda r . \lambda n . (\ife) \\   % of fib, which takes itself and n, if expression
+  \quad \ \appo{(\isz)}{n} \\               % is n zero
+  \quad \ (\one) \\                         % if so, return 1
+  \quad \ (\plus) \\                        % if not, add 
+  \qquad \appo{r}{(\appo{(\pred)}{n})} \\   % the first recursive call, n - 1, to
+  \qquad \appo{r}{(\appt{(\sub)}{n}{\two})} % the second recursive call, n - 2
+\end{gather*}
+\end{document}
diff --git a/entries/pkoronkevich/tex/render.pdf b/entries/pkoronkevich/tex/render.pdf
new file mode 100644
index 0000000..b69f747
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diff --git a/entries/pkoronkevich/tex/render.png b/entries/pkoronkevich/tex/render.png
new file mode 100644
index 0000000..2e172cc
Binary files /dev/null and b/entries/pkoronkevich/tex/render.png differ
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