Update ru.po

[lyx.git] / lib / examples / beamerlyxexample1.lyx

diff --git a/lib/examples/beamerlyxexample1.lyx b/lib/examples/beamerlyxexample1.lyx
index e802c12d0c1085a2b01c8b7188d29c91c8ad8d00..922cee1048d4b2c31b9eb95db34ecd32d451f7c6 100644 (file)
--- a/lib/examples/beamerlyxexample1.lyx
+++ b/lib/examples/beamerlyxexample1.lyx
@@ -1,7 +1,9 @@
-#LyX 2.1 created this file. For more info see http://www.lyx.org/
-\lyxformat 454
+#LyX 2.3 created this file. For more info see http://www.lyx.org/
+\lyxformat 544
 \begin_document
 \begin_header
+\save_transient_properties true
+\origin /systemlyxdir/examples/
 \textclass beamer
 \begin_preamble
 \beamertemplateshadingbackground{red!5}{structure!5}
@@ -155,16 +157,18 @@
 \language_package default
 \inputencoding auto
 \fontencoding global
-\font_roman times
-\font_sans default
-\font_typewriter default
-\font_math auto
+\font_roman "lmodern" "default"
+\font_sans "lmss" "default"
+\font_typewriter "lmtt" "default"
+\font_math "auto" "auto"
 \font_default_family default
 \use_non_tex_fonts false
 \font_sc false
 \font_osf false
-\font_sf_scale 100
-\font_tt_scale 100
+\font_sf_scale 100 100
+\font_tt_scale 100 100
+\use_microtype false
+\use_dash_ligatures false
 \graphics default
 \default_output_format default
 \output_sync 0
@@ -174,17 +178,19 @@
 \spacing single
 \use_hyperref false
 \papersize default
-\use_geometry false
+\use_geometry true
 \use_package amsmath 2
 \use_package amssymb 2
-\use_package esint 0
+\use_package cancel 1
+\use_package esint 1
 \use_package mathdots 1
-\use_package mathtools 0
+\use_package mathtools 1
 \use_package mhchem 1
-\use_package stmaryrd 0
-\use_package undertilde 0
+\use_package stackrel 1
+\use_package stmaryrd 1
+\use_package undertilde 1
 \cite_engine basic
-\cite_engine_type numerical
+\cite_engine_type default
 \biblio_style plain
 \use_bibtopic false
 \use_indices false
@@ -192,6 +198,7 @@
 \suppress_date false
 \justification true
 \use_refstyle 0
+\use_minted 0
 \index Index
 \shortcut idx
 \color #008000
@@ -200,7 +207,10 @@
 \tocdepth 2
 \paragraph_separation indent
 \paragraph_indentation default
-\quotes_language english
+\is_math_indent 0
+\math_numbering_side default
+\quotes_style english
+\dynamic_quotes 0
 \papercolumns 1
 \papersides 1
 \paperpagestyle default
@@ -247,10 +257,20 @@ ICSI
 January 30th, 2004
 \end_layout
 
-\begin_layout BeginFrame
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 Outline
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Standard
 \begin_inset CommandInset toc
 LatexCommand tableofcontents
@@ -271,13 +291,10 @@ status collapsed
 
 \end_layout
 
-\begin_layout EndFrame
-
-\end_layout
-
+\end_deeper
 \begin_layout Standard
 \begin_inset ERT
-status collapsed
+status open
 
 \begin_layout Plain Layout
 
@@ -340,10 +357,20 @@ Introduction
 What are Tournaments?
 \end_layout
 
-\begin_layout BeginFrame
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 Tournaments Consist of Jousts Between Knights
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Columns
 
 \end_layout
@@ -542,6 +569,7 @@ What is a Tournament?
 status open
 
 \begin_layout Plain Layout
+
 1-
 \end_layout
 
@@ -555,6 +583,7 @@ A group of knights.
 status open
 
 \begin_layout Plain Layout
+
 2-
 \end_layout
 
@@ -568,6 +597,7 @@ Every pair has a joust.
 status open
 
 \begin_layout Plain Layout
+
 3-
 \end_layout
 
@@ -578,10 +608,28 @@ In every joust one knight wins.
 
 \end_deeper
 \end_deeper
-\begin_layout BeginFrame
+\end_deeper
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
+
+\end_layout
+
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 Tournaments are Complete Directed Graphs
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Columns
 
 \end_layout
@@ -796,6 +844,7 @@ end{pgfpicture}
 status collapsed
 
 \begin_layout Plain Layout
+
 2-
 \end_layout
 
@@ -827,20 +876,39 @@ any two different vertices.
 
 \end_deeper
 \end_deeper
-\begin_layout BeginFrame
-\begin_inset ERT
+\end_deeper
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
+
+\end_layout
+
+\begin_layout Frame
+\begin_inset Argument 2
 status collapsed
 
 \begin_layout Plain Layout
 
-[<+>]
++
 \end_layout
 
 \end_inset
 
+
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 Tournaments Arise Naturally in Different Situations
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout ExampleBlock
 \begin_inset Argument 2
 status collapsed
@@ -865,7 +933,10 @@ The comparison relation may be cyclic, however.
 \end_layout
 
 \end_deeper
-\begin_layout Separator
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
 
 \end_layout
 
@@ -893,7 +964,10 @@ Reviewers decide for any two candidates whom they prefer.
 \end_layout
 
 \end_deeper
-\begin_layout Separator
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
 
 \end_layout
 
@@ -931,15 +1005,26 @@ It chooses from any two words the one more likely to be in
 .
 \end_layout
 
+\end_deeper
 \end_deeper
 \begin_layout Subsection
 What Does ``Finding Paths'' Mean?
 \end_layout
 
-\begin_layout BeginFrame
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 ``Finding Paths'' is Ambiguous
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Block
 \begin_inset Argument 2
 status open
@@ -954,6 +1039,7 @@ status open
 status open
 
 \begin_layout Plain Layout
+
 1
 \end_layout
 
@@ -973,6 +1059,7 @@ status open
 status open
 
 \begin_layout Plain Layout
+
 2-3
 \end_layout
 
@@ -996,6 +1083,7 @@ status open
 status open
 
 \begin_layout Plain Layout
+
 4-5
 \end_layout
 
@@ -1015,6 +1103,7 @@ status open
 status open
 
 \begin_layout Plain Layout
+
 6-7
 \end_layout
 
@@ -1034,6 +1123,7 @@ status open
 status open
 
 \begin_layout Plain Layout
+
 8-9
 \end_layout
 
@@ -1057,6 +1147,7 @@ status open
 status open
 
 \begin_layout Plain Layout
+
 10-
 \end_layout
 
@@ -1121,6 +1212,7 @@ target
 status open
 
 \begin_layout Plain Layout
+
 only@-9| visible@8-
 \end_layout
 
@@ -1161,6 +1253,7 @@ phantom{p}
 status open
 
 \begin_layout Plain Layout
+
 only@10-
 \end_layout
 
@@ -1203,6 +1296,7 @@ nointerlineskip
 status open
 
 \begin_layout Plain Layout
+
 1,3,5,7,9,11-12
 \end_layout
 
@@ -1235,6 +1329,7 @@ status open
 status open
 
 \begin_layout Plain Layout
+
 1-2
 \end_layout
 
@@ -1638,6 +1733,7 @@ status open
 status open
 
 \begin_layout Plain Layout
+
 3-
 \end_layout
 
@@ -1669,6 +1765,7 @@ column{5cm}
 status collapsed
 
 \begin_layout Plain Layout
+
 only@3-
 \end_layout
 
@@ -1905,6 +2002,7 @@ end{pgfpicture}
 status open
 
 \begin_layout Plain Layout
+
 2,4,6,8,10
 \end_layout
 
@@ -1933,6 +2031,7 @@ Variants of Path Finding Problems
 status open
 
 \begin_layout Plain Layout
+
 2-
 \end_layout
 
@@ -1972,6 +2071,7 @@ Approximation Problem:
 status open
 
 \begin_layout Plain Layout
+
 4-
 \end_layout
 
@@ -2001,6 +2101,7 @@ Problem: Construct a path from
 status open
 
 \begin_layout Plain Layout
+
 6-
 \end_layout
 
@@ -2030,6 +2131,7 @@ Problem: Construct a shortest path from
 status open
 
 \begin_layout Plain Layout
+
 8-
 \end_layout
 
@@ -2067,6 +2169,7 @@ Problem: Is the distance of
 status open
 
 \begin_layout Plain Layout
+
 10-
 \end_layout
 
@@ -2095,6 +2198,7 @@ Problem: Construct a path from
 approximately their distance.
 \end_layout
 
+\end_deeper
 \end_deeper
 \end_deeper
 \begin_layout Section
@@ -2124,7 +2228,11 @@ pgfdeclareimage[height=2cm,mask=computer-mask,interpolate=true]{computer}{beamer
 
 \end_layout
 
-\begin_layout BeginFrame
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 The Classes L and NL are Defined via
 \begin_inset Newline newline
 \end_inset
@@ -2132,6 +2240,12 @@ The Classes L and NL are Defined via
 Logspace Turing Machines
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Standard
 \begin_inset ERT
 status collapsed
@@ -2295,10 +2409,28 @@ end{pgfpicture}
 
 \end_layout
 
-\begin_layout BeginFrame
+\end_deeper
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
+
+\end_layout
+
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 Logspace Turing Machines Are Quite Powerful
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Block
 \begin_inset Argument 2
 status collapsed
@@ -2357,20 +2489,49 @@ satisfiability with two literals per clause.
 \end_layout
 
 \end_deeper
-\begin_layout BeginFrame
-\begin_inset ERT
+\end_deeper
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
+
+\end_layout
+
+\begin_layout Frame
+\begin_inset Argument 1
 status collapsed
 
 \begin_layout Plain Layout
 
-<1>[label=hierarchy]
+1
+\end_layout
+
+\end_inset
+
+
+\begin_inset Argument 3
+status collapsed
+
+\begin_layout Plain Layout
+label=hierarchy
 \end_layout
 
 \end_inset
 
+
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 The Complexity Class Hierarchy
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Standard
 \begin_inset ERT
 status collapsed
@@ -2754,7 +2915,19 @@ end{pgfpicture}
 
 \end_layout
 
-\begin_layout BeginFrame
+\end_deeper
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
+
+\end_layout
+
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 The Circuit Complexity Classes AC
 \begin_inset Formula $^{0}$
 \end_inset
@@ -2774,6 +2947,12 @@ The Circuit Complexity Classes AC
 Limit the Circuit Depth
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Standard
 \begin_inset ERT
 status collapsed
@@ -2982,6 +3161,7 @@ bounded fan-in
 .
 \end_layout
 
+\end_deeper
 \end_deeper
 \end_deeper
 \begin_layout AgainFrame
@@ -2989,6 +3169,7 @@ bounded fan-in
 status collapsed
 
 \begin_layout Plain Layout
+
 2
 \end_layout
 
@@ -3001,7 +3182,11 @@ hierarchy
 Standard Complexity Results on Finding Paths
 \end_layout
 
-\begin_layout BeginFrame
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 All Variants of Finding Paths in Directed Graphs
 \begin_inset Newline newline
 \end_inset
@@ -3009,6 +3194,12 @@ All Variants of Finding Paths in Directed Graphs
 Are Equally Difficult
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Fact
 \begin_inset Formula $\Lang{reach}$
 \end_inset
@@ -3066,12 +3257,14 @@ the approximation problem in logspace iff
 .
 \end_layout
 
+\end_deeper
 \end_deeper
 \begin_layout AgainFrame
 \begin_inset Argument 1
 status collapsed
 
 \begin_layout Plain Layout
+
 3
 \end_layout
 
@@ -3080,7 +3273,11 @@ status collapsed
 hierarchy
 \end_layout
 
-\begin_layout BeginFrame
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 Finding Paths in Forests and Directed Paths is Easy,
 \begin_inset Newline newline
 \end_inset
@@ -3088,6 +3285,12 @@ Finding Paths in Forests and Directed Paths is Easy,
 But Not Trivial
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Fact
 \begin_inset Formula $\Lang{reach}_{\operatorname{forest}}$
 \end_inset
@@ -3103,7 +3306,10 @@ But Not Trivial
 -complete.
 \end_layout
 
-\begin_layout Separator
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
 
 \end_layout
 
@@ -3122,11 +3328,13 @@ But Not Trivial
 -complete.
 \end_layout
 
+\end_deeper
 \begin_layout AgainFrame
 \begin_inset Argument 1
 status collapsed
 
 \begin_layout Plain Layout
+
 4
 \end_layout
 
@@ -3143,10 +3351,20 @@ Finding Paths in Tournaments
 Complexity of: Does a Path Exist?
 \end_layout
 
-\begin_layout BeginFrame
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 Definition of the Tournament Reachability Problem
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Definition
 Let
 \color none
@@ -3196,10 +3414,28 @@ there exists a path from
 \end_layout
 
 \end_deeper
-\begin_layout BeginFrame
+\end_deeper
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
+
+\end_layout
+
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 The Tournament Reachability Problem is Very Easy
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Theorem
 \begin_inset Formula $\Lang{reach}_{\operatorname{tourn}}\in\Class{AC}^{0}$
 \end_inset
@@ -3252,12 +3488,14 @@ easier
 .
 \end_layout
 
+\end_deeper
 \end_deeper
 \begin_layout AgainFrame
 \begin_inset Argument 1
 status open
 
 \begin_layout Plain Layout
+
 5
 \end_layout
 
@@ -3270,7 +3508,11 @@ hierarchy
 Complexity of: Construct a Shortest Path
 \end_layout
 
-\begin_layout BeginFrame
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 Finding a Shortest Path Is as Difficult as
 \begin_inset Newline newline
 \end_inset
@@ -3278,6 +3520,12 @@ Finding a Shortest Path Is as Difficult as
 the Distance Problem
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Definition
 Let
 \color none
@@ -3331,10 +3579,28 @@ the distance of
 \end_layout
 
 \end_deeper
-\begin_layout BeginFrame
+\end_deeper
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
+
+\end_layout
+
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 The Tournament Distance Problem is Hard
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Theorem
 \begin_inset Formula $\Lang{distance}_{\operatorname{tourn}}$
 \end_inset
@@ -3395,7 +3661,19 @@ in logarithmic space, iff
 .
 \end_layout
 
-\begin_layout BeginFrame
+\end_deeper
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
+
+\end_layout
+
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 Proof That 
 \begin_inset Formula $\Lang{distance}_{\operatorname{tourn}}$
 \end_inset
@@ -3403,6 +3681,12 @@ Proof That
  is NL-complete
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Standard
 \begin_inset ERT
 status collapsed
@@ -3482,6 +3766,7 @@ Reduce
 status open
 
 \begin_layout Plain Layout
+
 alert@1
 \end_layout
 
@@ -3503,6 +3788,7 @@ Is input
 status open
 
 \begin_layout Plain Layout
+
 2-| alert@2-8
 \end_layout
 
@@ -3524,6 +3810,7 @@ Map
 status open
 
 \begin_layout Plain Layout
+
 9-| alert@9
 \end_layout
 
@@ -3541,7 +3828,10 @@ Query:
 \end_layout
 
 \end_deeper
-\begin_layout Separator
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
 
 \end_layout
 
@@ -3560,6 +3850,7 @@ Correctness
 status open
 
 \begin_layout Plain Layout
+
 10-
 \end_layout
 
@@ -3574,6 +3865,7 @@ status open
 status open
 
 \begin_layout Plain Layout
+
 10-| alert@10-11
 \end_layout
 
@@ -3607,6 +3899,7 @@ a length-3 path in
 status open
 
 \begin_layout Plain Layout
+
 12-| alert@12-13
 \end_layout
 
@@ -4691,12 +4984,14 @@ end{pgfpicture}
 
 \end_layout
 
+\end_deeper
 \end_deeper
 \begin_layout AgainFrame
 \begin_inset Argument 1
 status open
 
 \begin_layout Plain Layout
+
 6
 \end_layout
 
@@ -4709,10 +5004,20 @@ hierarchy
 Complexity of: Approximating the Shortest Path
 \end_layout
 
-\begin_layout BeginFrame
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 Approximators Compute Paths that Are Nearly As Short As a Shortest Path
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Definition
 An
 \color none
@@ -4771,7 +5076,19 @@ a path from
 \end_layout
 
 \end_deeper
-\begin_layout BeginFrame
+\end_deeper
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
+
+\end_layout
+
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 There Exists a Logspace Approximation Scheme for
 \begin_inset Newline newline
 \end_inset
@@ -4779,6 +5096,12 @@ There Exists a Logspace Approximation Scheme for
 the Tournament Shortest Path Problem
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Theorem
 There exists an approximation scheme for 
 \begin_inset Formula $\Lang{tournament-shortest-path}$
@@ -4829,11 +5152,13 @@ beamergotobutton{More Details}}
 
 \end_layout
 
+\end_deeper
 \begin_layout AgainFrame
 \begin_inset Argument 1
 status collapsed
 
 \begin_layout Plain Layout
+
 7
 \end_layout
 
@@ -4842,10 +5167,6 @@ status collapsed
 hierarchy
 \end_layout
 
-\begin_layout EndFrame
-
-\end_layout
-
 \begin_layout Standard
 \begin_inset Note Note
 status open
@@ -4860,14 +5181,8 @@ fragile
 \end_inset
 
 .
- This is not yet supported by LyX, so the frame is created using TeX code.
- Note that the 
-\backslash
-begin{frame}[fragile] needs to be preceeded by an 
-\emph on
-EndFrame
-\emph default
- environment.
+ \SpecialChar LyX
+ has the FragileFrame layout for this.
 \end_layout
 
 \end_inset
@@ -4875,42 +5190,12 @@ EndFrame
 
 \end_layout
 
-\begin_layout Standard
-\begin_inset ERT
+\begin_layout FragileFrame
+\begin_inset Argument 4
 status open
 
 \begin_layout Plain Layout
-
-
-\backslash
-begin{frame}[fragile]
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-frametitle{
-\end_layout
-
-\end_inset
-
 Just a frame with a program code listing
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
 \end_layout
 
 \end_inset
@@ -4918,10 +5203,11 @@ status collapsed
 
 \end_layout
 
-\begin_layout Standard
+\begin_layout FragileFrame
 This is some program code:
 \end_layout
 
+\begin_deeper
 \begin_layout Standard
 \begin_inset listings
 lstparams "extendedchars=true,language=Python,numbers=left,stepnumber=3,tabsize=4"
@@ -4978,22 +5264,7 @@ pass
 
 \end_layout
 
-\begin_layout Standard
-\begin_inset ERT
-status open
-
-\begin_layout Plain Layout
-
-
-\backslash
-end{frame}
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
+\end_deeper
 \begin_layout Section*
 Summary
 \end_layout
@@ -5002,10 +5273,20 @@ Summary
 Summary
 \end_layout
 
-\begin_layout BeginFrame
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 Summary
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Block
 \begin_inset Argument 2
 status collapsed
@@ -5086,7 +5367,10 @@ in tournaments is
 \end_layout
 
 \end_deeper
-\begin_layout Separator
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
 
 \end_layout
 
@@ -5158,15 +5442,26 @@ beamergotobutton{More Details}}
 
 \end_layout
 
+\end_deeper
 \end_deeper
 \begin_layout Subsection*
 For Further Reading
 \end_layout
 
-\begin_layout BeginFrame
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 For Further Reading
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Standard
 \begin_inset ERT
 status open
@@ -5184,10 +5479,10 @@ beamertemplatebookbibitems
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Moon1968"
+literal "true"
 
 \end_inset
 
@@ -5245,10 +5540,10 @@ beamertemplatearticlebibitems
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "NickelsenT2002"
+literal "true"
 
 \end_inset
 
@@ -5292,10 +5587,10 @@ Proc.
 \end_layout
 
 \begin_layout Bibliography
-\labelwidthstring References
 \begin_inset CommandInset bibitem
 LatexCommand bibitem
 key "Tantau2004b"
+literal "true"
 
 \end_inset
 
@@ -5352,10 +5647,7 @@ newblock
  In press.
 \end_layout
 
-\begin_layout EndFrame
-
-\end_layout
-
+\end_deeper
 \begin_layout Standard
 \start_of_appendix
 \begin_inset ERT
@@ -5381,20 +5673,30 @@ Appendix
 Graphs With Bounded Independence Number
 \end_layout
 
-\begin_layout BeginFrame
-\begin_inset ERT
+\begin_layout Frame
+\begin_inset Argument 3
 status collapsed
 
 \begin_layout Plain Layout
-
-[label=independence]
+label=independence
 \end_layout
 
 \end_inset
 
+
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 Definition of Independence Number of a Graph
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Definition
 The
 \color none
@@ -5424,7 +5726,19 @@ Tournaments have independence number 1.
  
 \end_layout
 
-\begin_layout BeginFrame
+\end_deeper
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
+
+\end_layout
+
+\begin_layout Frame
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 The Results for Tournaments also Apply to
 \begin_inset Newline newline
 \end_inset
@@ -5432,6 +5746,12 @@ The Results for Tournaments also Apply to
 Graphs With Bounded Independence Number
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Theorem
 For each
 \begin_inset space ~
@@ -5468,7 +5788,10 @@ at most
 .
 \end_layout
 
-\begin_layout Separator
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
 
 \end_layout
 
@@ -5501,7 +5824,10 @@ for approximating the shortest path in graphs with independence number at
 
 \end_layout
 
-\begin_layout Separator
+\begin_layout Standard
+\begin_inset Separator plain
+\end_inset
+
 
 \end_layout
 
@@ -5543,21 +5869,37 @@ in graphs with independence number at most
 .
 \end_layout
 
+\end_deeper
 \begin_layout Subsection
 Finding Paths in Undirected Graphs
 \end_layout
 
-\begin_layout BeginFrame
-\begin_inset ERT
+\begin_layout Frame
+\begin_inset Argument 1
 status collapsed
 
 \begin_layout Plain Layout
 
-<1-2>[label=undirected]
+1-2
+\end_layout
+
+\end_inset
+
+
+\begin_inset Argument 3
+status collapsed
+
+\begin_layout Plain Layout
+label=undirected
 \end_layout
 
 \end_inset
 
+
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 The Complexity of Finding Paths in Undirected Graphs
 \begin_inset Newline newline
 \end_inset
@@ -5565,6 +5907,12 @@ The Complexity of Finding Paths in Undirected Graphs
 Is Party Unknown.
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Fact
 \begin_inset Formula $\Lang{reach}_{\operatorname{undirected}}$
 \end_inset
@@ -5599,6 +5947,7 @@ status open
 status open
 
 \begin_layout Plain Layout
+
 1
 \end_layout
 
@@ -5645,6 +5994,7 @@ status open
 status open
 
 \begin_layout Plain Layout
+
 1
 \end_layout
 
@@ -5686,25 +6036,36 @@ the approximation problem in logspace iff ?.
  
 \end_layout
 
+\end_deeper
 \end_deeper
 \begin_layout Subsection
 The Approximation Scheme is Optimal
 \end_layout
 
-\begin_layout BeginFrame
-\begin_inset ERT
+\begin_layout Frame
+\begin_inset Argument 3
 status collapsed
 
 \begin_layout Plain Layout
-
-[label=optimality]
+label=optimality
 \end_layout
 
 \end_inset
 
+
+\begin_inset Argument 4
+status open
+
+\begin_layout Plain Layout
 The Approximation Scheme is Optimal
 \end_layout
 
+\end_inset
+
+
+\end_layout
+
+\begin_deeper
 \begin_layout Theorem
 Suppose there exists an approximation scheme for 
 \begin_inset Formula $\Lang{tournament-shortest-path}$
@@ -5788,9 +6149,6 @@ qedhere
 \end_layout
 
 \end_deeper
-\begin_layout EndFrame
-
-\end_layout
-
+\end_deeper
 \end_body
 \end_document