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% Created 2023-09-15 Fri 20:36
% 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,landscape]{geometry}
\author{Elizabeth Hunt}
\date{\today}
\title{HW 01}
\hypersetup{
pdfauthor={Elizabeth Hunt},
pdftitle={HW 01},
pdfkeywords={},
pdfsubject={},
pdfcreator={Emacs 28.2 (Org mode 9.7-pre)},
pdflang={English}}
\begin{document}
\maketitle
\setlength\parindent{0pt}
\section{Question One}
\label{sec:org0490f98}
\begin{center}
\includegraphics[width=400px]{./img/line_robor.png}
\end{center}
\(Q\) = \{ readsensors, turnleft, moveforward, turnright \}
\(\Sigma\) = \{ white, blackonleft, leftturncomplete, blackonmiddle, movecomplete,
blackonright, rightturncomplete \}
\(\delta(p_0, a) = p_0\)
\(\delta(p_0, b) = p_1\)
\(\delta(p_0, d) = p_2\)
\(\delta(p_0, f) = p_3\)
\(\delta(p_1, c) = p_0\)
\(\delta(p_2, e) = p_0\)
\(\delta(p_3, g) = p_0\)
\(F = \emptyset\)
\section{Question Two}
\label{sec:orgdb1d9e7}
\begin{center}
\includegraphics[width=400px]{./img/blob_robor.png}
\end{center}
\(Q\) = \{ readsensors, turnleft, moveforward, turnright \}
\(\Sigma\) = \{ white, obstacleleft, leftturncomplete, obstacleboth, movecomplete,
obstacleright, rightturncomplete \}
\(\delta(p_0, a) = p_0\)
\(\delta(p_0, b) = p_1\)
\(\delta(p_0, d) = p_2\)
\(\delta(p_0, f) = p_3\)
\(\delta(p_1, c) = p_0\)
\(\delta(p_2, e) = p_0\)
\(\delta(p_3, g) = p_0\)
\(F = \emptyset\)
\section{Question Three}
\label{sec:orgf7c103c}
\begin{center}
\includegraphics[width=400px]{./img/sus_man.png}
\end{center}
Thus a robot could take \texttt{puton(C, T)}, \texttt{puton(B, C)}, and finally \texttt{puton(A, B)}.
\section{Question Four}
\label{sec:org54c6f53}
\begin{center}
\begin{tabular}{llrr}
State & 0 & 1 & 2\\[0pt]
q\textsubscript{0} & \{ q\textsubscript{0}, q\textsubscript{1}, q\textsubscript{2}\} & & \\[0pt]
q\textsubscript{1} & & \{q\textsubscript{1}, q\textsubscript{2}\} & \\[0pt]
q\textsubscript{2} & & & \{q\textsubscript{2}\}\\[0pt]
\end{tabular}
\end{center}
\begin{center}
\includegraphics[width=200px]{./img/no_epsilon.png}
\end{center}
\end{document}
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