From 6bf4b90c90f15f4ab60833bddf5b5756d1a6b1f6 Mon Sep 17 00:00:00 2001
From: Elizabeth Alexander Hunt <me@liz.coffee>
Date: Thu, 2 Jul 2026 11:55:17 -0700
Subject: Init

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 Homework/cs5000/hw02/CS5000_F23_EH_HW02.tex | 102 ++++++++++++++++++++++++++++
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+% Created 2023-10-07 Sat 14:51
+% Intended LaTeX compiler: pdflatex
+\documentclass[11pt]{article}
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{graphicx}
+\usepackage{longtable}
+\usepackage{wrapfig}
+\usepackage{rotating}
+\usepackage[normalem]{ulem}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{capt-of}
+\usepackage{hyperref}
+\notindent \notag  \usepackage{amsmath} \usepackage[a4paper,margin=1in,portrait]{geometry}
+\author{Elizabeth Hunt}
+\date{\today}
+\title{HW 02}
+\hypersetup{
+ pdfauthor={Elizabeth Hunt},
+ pdftitle={HW 02},
+ pdfkeywords={},
+ pdfsubject={},
+ pdfcreator={Emacs 28.2 (Org mode 9.7-pre)}, 
+ pdflang={English}}
+\begin{document}
+
+\maketitle
+\setlength\parindent{0pt}
+
+\section{Problem 1}
+\label{sec:org41ad199}
+\subsection{Part 1}
+\label{sec:orgabe730c}
+\(L(M) = \{ x | x \in \{ a \}^{*} \} \cup \{ x | x \in \{ b \}^{*} \} \cup \{ x | x \in \{ c \}^{*} \}\)
+
+\subsection{Part 2}
+\label{sec:orgb60fdea}
+
+\begin{center}
+\includegraphics[width=300px]{./img/p01_02.png}
+\end{center}
+
+\(Q = {q_0, q_1, q_2, q_3}\)
+
+\(\Sigma = {a, b, c}\)
+
+\(F = {q_1, q_2, q_3}\)
+
+\(\delta(q_0, a) = {q_1}, \delta(q_1, a) = {q_1}, \delta(q_0, b) = {q_2}, \delta(q_2, b) = {q_2}, \delta(q_0, c) = {q_3}, \delta(q_3, c) = c\)
+
+\section{Problem 2}
+\label{sec:org9cf81d0}
+\subsection{Work}
+\label{sec:org2daff9f}
+\begin{center}
+\begin{tabular}{lll}
+subset & 0 & 1\\[0pt]
+\{q\textsubscript{0}\} & \{q\textsubscript{0}, q\textsubscript{1}\} & \{q\textsubscript{1}\}\\[0pt]
+\{q\textsubscript{1}\} & \{q\textsubscript{2}\} & \{q\textsubscript{2}\}\\[0pt]
+\{q\textsubscript{2}\} & \{q\textsubscript{2}\} & \{q\textsubscript{2}\}\\[0pt]
+\{q\textsubscript{0}, q\textsubscript{1}\} & \{q\textsubscript{0}, q\textsubscript{1}\} \(\cup\) \{q\textsubscript{2}\} & \{q\textsubscript{1}\} \(\cup\) \{q\textsubscript{2}\}\\[0pt]
+\{q\textsubscript{0}, q\textsubscript{1}, q\textsubscript{2}\} & \{q\textsubscript{0}, q\textsubscript{1}\} \(\cup\) \{q\textsubscript{2}\} \(\cup\) \{q\textsubscript{2}\} & \{q\textsubscript{1}\} \(\cup\) \{q\textsubscript{2}\} \(\cup\) \{q\textsubscript{2}\}\\[0pt]
+\{q\textsubscript{1}, q\textsubscript{2}\} & \{q\textsubscript{2}\} \(\cup\) \{q\textsubscript{2}\} & \{q\textsubscript{2}\} \(\cup\) \{q\textsubscript{2}\}\\[0pt]
+\end{tabular}
+\end{center}
+
+
+\subsection{Solution}
+\label{sec:org7701586}
+\begin{center}
+\includegraphics[width=300px]{./img/p02.png}
+\end{center}
+
+\(Q_D = \{q_0, q_1, q_2, q_3, q_4, q_5\}\)
+
+\(\Sigma = \{0, 1\}\)
+
+\(F_D = \{q_1, q_2, q_4, q_5\}\)
+
+\(\delta_D(q_0, 0) = q_1\)
+
+\(\delta_D(q_0, 1) = q_2\)
+
+\(\delta_D(q_1, 0) = q_5\)
+
+\(\delta_D(q_1, q) = q_4\)
+
+\(\delta_D(q_2, 0) = \delta_D(q_2, 1) = q_3\)
+
+\(\delta_D(q_3, 0) = \delta_D(q_3, 1) = q_3\)
+
+\(\delta_D(q_4, 0) = \delta_D(q_4, 1) = q_4\)
+
+\(\delta_D(q_5, 0) = q_5\)
+
+\(\delta_D(q_5, 1} = q_4\)
+
+\section{Problem 3}
+\label{sec:orge1c9402}
+See attached python
+\end{document}
\ No newline at end of file
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