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[algebraic-prog-equiv.git] / main.tex
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1 \documentclass[a4paper,russian]{report}
2 %draft
3 %\newcommand*{\toRead}{\textbf{To read}}
4 \newcommand*{\toRead}{}
5 %\newcommand\localRL{\begingroup \urlstyle{tt}\Url}
6 \newcommand{\localRL}[1]{}
8 \usepackage[koi8-r]{inputenc}
9 \usepackage{babel}
11 \bibliographystyle{alpha}
13 % todo: ÎÏÍÅÒÁ ÓÌÅ×Á ÏÔ ôÅÏÒÅÍÁ etc.
15 %\usepackage{rcshead}
16 %\RCS $Id$
17 \include{mya4m}
19 \input defs
21 \input auxil
23 \author{é×ÁÎ úÁÈÁÒØÑÝÅ×, 518 ÇÒÕÐÐÁ}
24 \title{äÉÐÌÏÍÎÁÑ ÒÁÂÏÔÁ. ôÅÍÁ: ðÒÏÂÌÅÍÁ ÜË×É×ÁÌÅÎÔÎÏÓÔÉ × ÍÏÄÅÌÑÈ
25 ÐÒÏÇÒÁÍÍ Ó ÞÁÓÔÉÞÎÏ ËÏÍÍÕÔÁÔÉ×ÎÙÍÉ É ÍÏÎÏÔÏÎÎÙÍÉ ÏÐÅÒÁÔÏÒÁÍÉ}
27 \newcommand*{\mainCha}[3]{
28 %% \section{íÅÔÁÔÅÏÒÉÑ ÁÌÇÅÂÒ É ÌÉÎÅÊÎÏÚÁÐÉÓÙ×ÁÅÍÙÈ ×ÙÒÁÖÅÎÉÊ
29 %% (ÓÌÕÞÁÊ ÉÄÅÍÐÏÔÅÎÔÎÏÓÔÉ)}
30 \section{îÅÄÅÔÅÒÍÉÎÉÒÏ×ÁÎÎÙÅ ÐÒÏÇÒÁÍÍÙ × <<ÉÄÅÍÐÏÔÅÎÔÎÏÊ ÓÅÍÁÎÔÉËÅ>>}
31 \label{sec:#1}
32 \input #1
34 \section{äÅÔÅÒÍÉÎÉÒÏ×ÁÎÎÙÅ É ÏÄÎÏÚÎÁÞÎÙÅ ÐÒÏÇÒÁÍÍÙ}
35 \label{sec:#2}
36 \input #2
38 \section{ðÒÏÇÒÁÍÍÙ × <<ÓÅÍÁÎÔÉËÅ, ÕÞÉÔÙ×ÁÀÝÅÊ ËÒÁÔÎÏÓÔÉ>>}
39 \label{sec:#3}
40 \input #3
44 \usepackage{graphicx}
45 \begin{document}
46 %\maketitle
47 \input title
49 \tableofcontents
51 \chapter{÷×ÅÄÅÎÉÅ}\label{cha:intro}
52 \input intro
54 %%%%%%%%%%%%%%%%%%%%%%%%%%
56 \chapter{ïÂÝÉÅ ÐÏÎÑÔÉÑ}\label{cha:general}
57 \input general
60 \chapter{íÅÔÁÔÅÏÒÉÑ\\ ÁÂÓÔÒÁËÔÎÙÈ ÐÒÏÇÒÁÍÍ 0\d{}ÇÏ ÐÏÒÑÄËÁ\\ Ó ÏÐÅÒÁÔÏÒÁÍÉ
61 × ÏÔÓÕÔÓÔ×ÉÉ ÓÅÍÁÎÔÉÞÅÓËÉÈ ÐÏÓÔÕÌÁÔÏ×}
62 \label{cha:free-plain}
63 \mainCha{free-plain-ndet}{free-plain-det}{free-plain-multi}
65 \chapter{íÅÔÁÔÅÏÒÉÑ\\ ÁÂÓÔÒÁËÔÎÙÈ ÐÒÏÇÒÁÍÍ 0\d{}ÇÏ ÐÏÒÑÄËÁ\\ Ó
66 ÏÐÅÒÁÔÏÒÁÍÉ É ÔÅÓÔÁÍÉ
67 × ÏÔÓÕÔÓÔ×ÉÉ ÓÅÍÁÎÔÉÞÅÓËÉÈ ÐÏÓÔÕÌÁÔÏ×}
68 \label{cha:free-withTests}
69 \mainCha{free-withTests-ndet}{free-withTests-det}{free-withTests-multi}
70 %\input free-withTests
72 \chapter{íÅÔÁÔÅÏÒÉÑ\\ ÁÂÓÔÒÁËÔÎÙÈ ÐÒÏÇÒÁÍÍ 0\d{}ÇÏ ÐÏÒÑÄËÁ\\ Ó ÏÐÅÒÁÔÏÒÁÍÉ
73 × ÐÒÉÓÕÔÓÔ×ÉÉ ÓÅÍÁÎÔÉÞÅÓËÉÈ ÐÏÓÔÕÌÁÔÏ×}
74 \label{cha:hypo-plain}
76 ÷ ÜÔÏÊ çÌÁ×Å ÍÙ ÉÓÓÌÅÄÕÅÍ ÐÒÏÂÌÅÍÕ ÜË×É×ÁÌÅÎÔÎÏÓÔÉ ÐÒÏÇÒÁÍÍ ÐÒÉ ÄÏÐÏÌÎÉÔÅÌØÎÙÈ
77 ÓÅÍÁÎÔÉÞÅÓËÉÈ ÐÏÓÔÕÌÁÔÁÈ. ÷ÓÑ ÒÁÂÏÔÁ ÎÁÃÅÌÅÎÁ ÎÁ ÉÓÓÌÅÄÏ×ÁÎÉÅ ðü ÐÒÉ
78 ÓÅÍÁÎÔÉÞÅÓËÉÈ ÐÏÓÔÕÌÁÔÁÈ, ×ÙÒÁÖÁÀÝÉÈ ÞÁÓÔÉÞÎÕÀ ËÏÍÍÕÔÁÔÉ×ÎÏÓÔØ É
79 ÏÂÏÂÝ£ÎÎÕÀ ÍÏÎÏÔÏÎÎÏÓÔØ ÏÐÅÒÁÔÏÒÏ×. íÙ ÒÁÓÓÍÁÔÒÉ×ÁÅÍ ÏÂÝÉÊ ÐÏÄÈÏÄ Ë
80 ÄÏÂÁ×ÌÅÎÉÀ ÐÏÓÔÕÌÁÔÏ× × ÎÁÛÕ ÔÅÈÎÉËÕ ÉÓÓÌÅÄÏ×ÁÎÉÑ É ËÏÎÃÅÎÔÒÉÒÕÅÍ
81 ×ÎÉÍÁÎÉÅ ÎÁ ÕÓÔÁÎÏ×ÌÅÎÉÅ ÉÎÔÅÒÅÓÕÀÝÉÈ ÎÁÓ ÆÁËÔÏ× × ÓÌÕÞÁÅ ÐÏÓÔÕÌÁÔÏ×
82 ÕËÁÚÁÎÎÏÇÏ ×ÉÄÁ. ÷ ÎÁÛÅÍ ÉÓÓÌÅÄÏ×ÁÎÉÉ ÐÏÓÔÕÌÁÔÙ ÂÕÄÕÔ ×ÙÒÁÖÁÔØÓÑ
83 ÄÏÐÕÝÅÎÉÑÍÉ, ÓÔÁÎÏ×ÑÝÉÍÉÓÑ ÐÏÓÙÌËÁÍÉ × Horn\DÆÏÒÍÕÌÁÈ.
84 äÌÑ ÁÂÓÔÒÁËÃÉÊ ÐÒÏÇÒÁÍÍ, ËÏÔÏÒÙÍ ÐÏÓ×ÑÝÅÎÁ ÜÔÁ çÌÁ×Á,\T ÐÒÏÇÒÁÍÍÁÍ
85 ÔÏÌØËÏ Ó ÏÐÅÒÁÔÏÒÁÍÉ, ÎÏ ÂÅÚ ÔÅÓÔÏ×\T ÉÍÅÀÔ ÓÍÙÓÌ ÐÏÓÔÕÌÁÔÙ
86 ËÏÍÍÕÔÁÔÉ×ÎÏÓÔÉ ÏÐÅÒÁÔÏÒÏ× (ÎÏ ÎÅ ÍÏÎÏÔÏÎÎÏÓÔÉ, ×Ï×ÌÅËÁÀÝÉÈ ÔÅÓÔÙ).
88 ÷ ÏÂÌÁÓÔØ, ÐÏËÒÙ×ÁÅÍÕÀ ÜÔÏÊ çÌÁ×ÏÊ, ÐÏÐÁÄÁÅÔ ÓÌÕÞÁÊ ÍÎÏÇÏÌÅÎÔÏÞÎÙÈ
89 Á×ÔÏÍÁÔÏ× (× òÁÚÄÅÌÅ~\ref{sec:mta} ÍÙ ×ÙÒÁÚÉÍ ÉÈ ÓÉÎÔÁËÓÉÓ É ÓÅÍÁÎÔÉËÕ
90 ÓÒÅÄÓÔ×ÁÍÉ, ÐÒÉÎÑÔÙÍÉ × ÎÁÛÅÍ ÉÓÓÌÅÄÏ×ÁÎÉÉ).
92 \mainCha{hypo-plain-ndet}{hypo-plain-det}{hypo-plain-multi}
93 %\input hypo-plain
95 \chapter{íÅÔÁÔÅÏÒÉÑ\\ ÁÂÓÔÒÁËÔÎÙÈ ÐÒÏÇÒÁÍÍ 0\d{}ÇÏ ÐÏÒÑÄËÁ\\ Ó
96 ÏÐÅÒÁÔÏÒÁÍÉ É ÔÅÓÔÁÍÉ
97 × ÐÒÉÓÕÔÓÔ×ÉÉ ÓÅÍÁÎÔÉÞÅÓËÉÈ ÐÏÓÔÕÌÁÔÏ×}
98 \label{cha:hypo-withTests}
99 \mainCha{hypo-withTests-ndet}{hypo-withTests-det}{hypo-withTests-multi}
100 %\input hypo-withTests
102 %%%%%%%%%%%%%%%%%%%%%%%%%%%%
104 %% \chapter{òÁÚÎÙÅ ÚÁÍÅÞÁÎÉÑ É ÄÏÐÏÌÎÅÎÉÑ}
105 %% \input misc
107 %%%%%%%%%%%%%%%%%%%%%%%%%
109 %\chapter{éÚ×ÅÓÔÎÙÅ ÐÒÉÍÅÎÅÎÉÑ ÎÁ ÐÒÁËÔÉËÅ}
111 %\chapter{óÐÉÓÏË ÏÔËÒÙÔÙÈ ×ÏÐÒÏÓÏ×}
113 \chapter{úÁËÌÀÞÅÎÉÅ}
114 \input conclu
115 %\todo{[ËÏÒÏÔËÏ ÓÕÔØ ÔÏÇÏ, ÞÔÏ ÓÄÅÌÁÎÏ ÎÏ×ÏÇÏ, ÎÁ ÆÏÎÅ ÓÔÁÒÏÇÏ]}
117 \appendix{A}
119 \chapter{óÐÒÁ×ËÁ ÐÏ ÄÒÕÇÉÍ ÐÏÎÑÔÉÑÍ}
120 \input other
122 \chapter{ôÅÒÍÉÎÙ É ÏÂÏÚÎÁÞÅÎÉÑ}
123 \label{cha:summary}
124 \section{ôÅÒÍÉÎÙ}
125 \input terms
127 \section{ïÂÏÚÎÁÞÅÎÉÑ}
128 \input notations
130 \nocite{HKshort}
131 \nocite{KA-lect04,lectAK}
132 \nocite{HopcroftUllman-automata-new}
133 %\input biblio
134 %\input main.bbl
135 %\bibliography{courseiv}
136 \bibliography{my,KA,KA-add,KA-other,common-books,uni-papers,alg-books,kf-works,automata,dmta-equiv,multiautomata,E-alg,equiv-commut}
138 \end{document}
140 %%% Local Variables:
141 %%% mode: latex
142 %%% TeX-master: t
143 %%% End: