ChengsongTanPhdThesis/Chapters/Chapter6.tex
author Chengsong
Mon, 30 May 2022 20:36:15 +0100
changeset 530 823d9b19d21c
parent 527 2c907b118f78
permissions -rwxr-xr-x
all comments addressed
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
527
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
     1
% Chapter Template
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
     2
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
     3
\chapter{Further Improvements} % Main chapter title
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
     4
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
     5
\label{Chapter6} %In Chapter 5\ref{Chapter5} we discuss stronger simplifications to improve the finite bound
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
     6
%in Chapter 4 to a polynomial one, and demonstrate how one can extend the
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
     7
%algorithm to include constructs such as bounded repetitions and negations.
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
     8
 
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
     9
%----------------------------------------------------------------------------------------
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
    10
%	SECTION strongsimp
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
    11
%----------------------------------------------------------------------------------------
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
    12
\section{Zippers}
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
    13
%TODO: search for isabelle proofs of algorithms that check equivalence 
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
    14
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
    15
Unfortunately using zippers causes a similar effect like the "break up" rule
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
    16
and does not preserve the $\POSIX$ property.
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
    17
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
    18
2c907b118f78 all chapters put in
Chengsong
parents:
diff changeset
    19