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cleartomark
%%EndFont 
%%BeginFont: MSAM10
%!PS-AdobeFont-1.1: MSAM10 2.1
%%CreationDate: 1993 Sep 17 09:05:00
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSAM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSAM10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 164 /square put
readonly def
/FontBBox{8 -463 1331 1003}readonly def
/UniqueID 5031981 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891
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cleartomark
%%EndFont 
%%BeginFont: CMSY5
%!PS-AdobeFont-1.1: CMSY5 1.0
%%CreationDate: 1991 Aug 15 07:21:16
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 161 /minus put
readonly def
/FontBBox{21 -944 1448 791}readonly def
/UniqueID 5000815 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964
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A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85
E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A
221A37D9A807DD01161779DDE7D5FC1B2109839E5B52DFBAF552B11EFFB6A16C
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283722DDFA7285E62754372D716D704AC0E00B2F6AB67154241C7449AA047833
94CEDB08E8C92907FE72A0B05AE36A7B9226ACD6E7890A0B528FDDE84A950FC6
801DE75CF2E739E9121149CCB8B1C87A106822648D84A3D3FBF295EE6C4BF403
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6105D774449D6CBB70F2F539D739D011BDBE27A9674A5CA3D5BD42B7FBFBBA35
89966597639DE60F2A4812AFAEFBBBB26C9E24F72439F3AF2A7D5C0D2AFB5146
58112FC60E9307B9FE29090D81441A1C3B7E371656A3321A0031038D54BB6670
0594C9C72FDDE3DE50EE1CFBDEEE5B6DDBA17B1D6328651FE1EFD1E2B8376949
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cleartomark
%%EndFont 
%%BeginFont: CMR5
%!PS-AdobeFont-1.1: CMR5 1.00B
%%CreationDate: 1992 Feb 19 19:55:02
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 43 /plus put
dup 49 /one put
readonly def
/FontBBox{-341 -250 1304 965}readonly def
/UniqueID 5000788 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891
016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171
9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F
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0DEB235B3FD5D2E49506B1F9E3FFD3B850E26B2B249C66B982B6E160DFDA4920
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cleartomark
%%EndFont 
%%BeginFont: CMMI5
%!PS-AdobeFont-1.1: CMMI5 1.100
%%CreationDate: 1996 Aug 02 08:21:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI5 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 191 /tau put
dup 105 /i put
dup 107 /k put
dup 110 /n put
readonly def
/FontBBox{37 -250 1349 750}readonly def
/UniqueID 5087380 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA06DA87FC7163A5A2A756A598FAB07633
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6119711B78FA27A34E1F961EF1B1470A4DC94059EDF3E70824155233D24CEEFA
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34E15CFB7D61F47F999B9AAD5DF33001D7D26F94ABE817B0CF9A70DF698E8602
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F522E5F9937F5A3EE25F8C8E0499038D97EC16441079EA0B973202DF034255EC
3CE6013826789882285BB12B8789CDB0B8AEEA9353DE0C526977AB7E99B05FB2
902E97274AE39F87FB8A17A6148EBCB65E89EC8655BF3B00E7E9891087E52401
A7DF2E6C708C67EE997ECD078691A9F9061F9A1344FD3B7E9458CB8B9583C030
162032CC8547764E5886F5AC2917C3B8084E7F5D05D0777B8311ABF5610D2BBC

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cleartomark
%%EndFont 
%%BeginFont: CMITT10
%!PS-AdobeFont-1.1: CMITT10 1.0
%%CreationDate: 1991 Aug 18 17:48:50
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMITT10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch true def
end readonly def
/FontName /CMITT10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 69 /E put
dup 80 /P put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 105 /i put
dup 108 /l put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 116 /t put
dup 121 /y put
readonly def
/FontBBox{11 -233 669 696}readonly def
/UniqueID 5000779 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE
3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B
532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470
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cleartomark
%%EndFont 
%%BeginFont: CMSY7
%!PS-AdobeFont-1.1: CMSY7 1.0
%%CreationDate: 1991 Aug 15 07:21:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 161 /minus put
dup 33 /arrowright put
dup 48 /prime put
readonly def
/FontBBox{-15 -951 1252 782}readonly def
/UniqueID 5000817 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR7
%!PS-AdobeFont-1.1: CMR7 1.0
%%CreationDate: 1991 Aug 20 16:39:21
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
readonly def
/FontBBox{-27 -250 1122 750}readonly def
/UniqueID 5000790 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 191 /tau put
dup 58 /period put
dup 59 /comma put
dup 65 /A put
dup 66 /B put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 101 /e put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 116 /t put
dup 117 /u put
dup 118 /v put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE
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cleartomark
%%EndFont 
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 161 /minus put
dup 180 /equivalence put
dup 182 /reflexsuperset put
dup 183 /lessequal put
dup 195 /arrowleft put
dup 33 /arrowright put
dup 37 /arrownortheast put
dup 38 /arrowsoutheast put
dup 41 /arrowdblright put
dup 50 /element put
dup 54 /negationslash put
dup 57 /existential put
dup 66 /B put
dup 83 /S put
dup 94 /logicaland put
dup 102 /braceleft put
dup 103 /braceright put
dup 106 /bar put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
/UniqueID 5000820 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 188 /pi put
dup 190 /sigma put
dup 191 /tau put
dup 33 /omega put
dup 58 /period put
dup 59 /comma put
dup 61 /slash put
dup 62 /greater put
dup 65 /A put
dup 66 /B put
dup 68 /D put
dup 75 /K put
dup 80 /P put
dup 83 /S put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 120 /x put
dup 121 /y put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTT10
%!PS-AdobeFont-1.1: CMTT10 1.00B
%%CreationDate: 1992 Apr 26 10:42:42
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTT10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch true def
end readonly def
/FontName /CMTT10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 40 /parenleft put
dup 41 /parenright put
dup 66 /B put
dup 67 /C put
dup 69 /E put
dup 72 /H put
dup 75 /K put
dup 77 /M put
dup 80 /P put
dup 84 /T put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 108 /l put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 121 /y put
readonly def
/FontBBox{-4 -235 731 800}readonly def
/UniqueID 5000832 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 175 /fi put
dup 177 /ffi put
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 76 /L put
dup 77 /M put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 87 /W put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 120 /x put
dup 121 /y put
dup 123 /endash put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
/UniqueID 5000768 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTT9
%!PS-AdobeFont-1.1: CMTT9 1.0
%%CreationDate: 1991 Aug 20 16:46:24
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTT9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch true def
end readonly def
/FontName /CMTT9 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 40 /parenleft put
dup 41 /parenright put
dup 44 /comma put
dup 46 /period put
dup 58 /colon put
dup 61 /equal put
dup 63 /question put
dup 66 /B put
dup 68 /D put
dup 69 /E put
dup 72 /H put
dup 75 /K put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 83 /S put
dup 95 /underscore put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
readonly def
/FontBBox{-6 -233 542 698}readonly def
/UniqueID 5000831 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSS10
%!PS-AdobeFont-1.1: CMSS10 1.0
%%CreationDate: 1991 Aug 20 17:33:34
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSS10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMSS10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 97 /a put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 104 /h put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 114 /r put
dup 115 /s put
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dup 117 /u put
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readonly def
/FontBBox{-61 -250 999 759}readonly def
/UniqueID 5000803 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTI10
%!PS-AdobeFont-1.1: CMTI10 1.00B
%%CreationDate: 1992 Feb 19 19:56:16
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 175 /fi put
dup 177 /ffi put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 58 /colon put
dup 59 /semicolon put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 69 /E put
dup 70 /F put
dup 73 /I put
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dup 77 /M put
dup 80 /P put
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dup 83 /S put
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dup 97 /a put
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dup 99 /c put
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dup 115 /s put
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dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /endash put
readonly def
/FontBBox{-163 -250 1146 969}readonly def
/UniqueID 5000828 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX12
%!PS-AdobeFont-1.1: CMBX12 1.0
%%CreationDate: 1991 Aug 20 16:34:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 44 /comma put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 58 /colon put
dup 65 /A put
dup 67 /C put
dup 69 /E put
dup 73 /I put
dup 77 /M put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 121 /y put
dup 123 /endash put
readonly def
/FontBBox{-53 -251 1139 750}readonly def
/UniqueID 5000769 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX9
%!PS-AdobeFont-1.1: CMBX9 1.0
%%CreationDate: 1991 Aug 20 16:36:25
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX9 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
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dup 46 /period put
dup 65 /A put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 114 /r put
dup 115 /s put
dup 116 /t put
readonly def
/FontBBox{-58 -250 1195 750}readonly def
/UniqueID 5000767 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 174 /ff put
dup 175 /fi put
dup 176 /fl put
dup 177 /ffi put
dup 33 /exclam put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 59 /semicolon put
dup 61 /equal put
dup 63 /question put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
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dup 76 /L put
dup 77 /M put
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dup 80 /P put
dup 82 /R put
dup 83 /S put
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dup 85 /U put
dup 86 /V put
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dup 89 /Y put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 96 /quoteleft put
dup 97 /a put
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dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
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dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
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dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /endash put
dup 124 /emdash put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTI9
%!PS-AdobeFont-1.1: CMTI9 1.0
%%CreationDate: 1991 Aug 18 21:08:07
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI9 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 39 /quoteright put
dup 44 /comma put
dup 45 /hyphen put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 65 /A put
dup 67 /C put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 73 /I put
dup 74 /J put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 87 /W put
dup 89 /Y put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 121 /y put
dup 123 /endash put
readonly def
/FontBBox{-35 -250 1148 750}readonly def
/UniqueID 5000827 def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR9
%!PS-AdobeFont-1.1: CMR9 1.0
%%CreationDate: 1991 Aug 20 16:39:59
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR9 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 175 /fi put
dup 182 /acute put
dup 40 /parenleft put
dup 41 /parenright put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 89 /Y put
dup 90 /Z put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /endash put
dup 124 /emdash put
dup 126 /tilde put
readonly def
/FontBBox{-39 -250 1036 750}readonly def
/UniqueID 5000792 def
currentdict end
currentfile eexec
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%%Page: 8 8
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%%Page: 9 9
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Fk(m)p Fs(;)7441 50060 y(7.)555 b(if)394 b Fk(m)f Fs(is)g(a)h(public)g
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b(an)g(asso)31 b(ciated)395 b(priv)-61 b(ate)394 b(k)-31
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%%Page: 10 10
TeXDict begin HPSdict begin 10 9 bop 6888 5978 a Fs(11.)555
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y Fd(1)25944 9773 y Fl(in)581 b Fk(:)184 b(:)g(:)s Fl(let)308
b Fk(v)31567 9939 y Fi(e)31987 10050 y Fe(n)32892 9773
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9773 y Fl(in)h Fk(p)37662 9316 y Fg(0)37973 9773 y Fk(;)15790
11433 y(p)16347 11599 y Fi(e)16767 11710 y Fe(i)17483
11433 y Fs(=)i Fl(EP)p Fs(\()p Fk(v)20823 10976 y Fg(0)20783
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b Fk(v)17834 16754 y Fi(c)18658 16588 y Fs(asso)31 b(ciated)375
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17917 y(through)c Fk(m)p Fs(,)f(or)g(some)h Fk(v)17514
17515 y Fg(0)17474 18190 y Fi(e)18318 17917 y Fs(for)f(a)g(selected)h
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b(let)f(us)f(construct)h Fk(\277)430 b Fj(\241)305 b
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6974 21918 y(selected)324 b(in)f(pro)-31 b(viso)325 b(10.,)g(set)e
Fk(\277)125 b Fs(\()p Fk(v)21380 22084 y Fi(c)21832 21918
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21516 y Fg(0)42194 22191 y Fi(e)42670 21918 y Fs(\))308
b(=)f Fk(e)p Fs(,)6974 23246 y(where)334 b Fk(v)10717
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Fl(let)p Fs(,)g(or)g(concatenations.)6974 28575 y(See)339
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Fk(p)p Fs(,)359 b(and)f(is)h(b)31 b(ound)358 b(b)-31
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y(F)-92 b(or)314 b(some)g(message)h Fk(m)18457 33503
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Fk(p)15209 53823 y Fi(\277)16069 54225 y Fs(=)308 b([)p
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b Fs(\()p Fk(v)25958 54391 y Fi(e)26378 54502 y Fe(n)26978
54225 y Fs(\)].)296 b(Then)g(w)-31 b(e)296 b(de\257ne)f(the)g(message)h
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y(is)452 b(a)g(\(p)-57 b(ossibly)451 b(extende)-57 b(d\))452
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y Fs(\))453 b Fp(such)e(that)g(any)i(message)f Fk(m)38528
58883 y Fg(0)38838 59285 y Fp(,)g(which)g(is)g(in-)6974
60614 y(distinguishable)463 b(fr)-57 b(om)462 b Fk(m)g
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Fk(\276)40 b Fp(.)6974 64330 y(Pr)-57 b(o)g(of.)537 b
Fs(W)-92 b(e)535 b(only)i(ha)-31 b(v)g(e)538 b(to)f(co)-31
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b(de-)6974 65658 y(note)517 b(the)f(op)31 b(ened)517
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%%Page: 11 11
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8634 y Fs(.)377 b(By)h(theorem)g(1)p
 (#theorem.1.3.1) [[258 689 263 701] [1 1 1 [3 3]] [0 0 1]] pdfm (,)f
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end end
%%Page: 12 12
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1 w(],)483 b(the)f(nondeterminism)i(is)f(implemen)-31
b(ted)484 b(b)-31 b(y)483 b(susp)31 b(ending)482 b(an)6974
8634 y(encryption)370 b(without)h(a)f(kno)-31 b(wn)370
b(decryption)g(k)-31 b(ey)-92 b(,)370 b(and)g(retrying)f(it)h(later.)
6974 10810 y Fm(Theorem)425 b(4.)554 b Fp(L)-57 b(et)424
b Fk(\276)462 b Fp(b)-57 b(e)424 b(a)f(c)-57 b(omplete)424
b(assignment)g(and)f Fk(m)g Fp(a)g(message.)g(Then)h(ther)-57
b(e)423 b(is)6974 12138 y(\(p)-57 b(ossibly)522 b(extende)-57
b(d\))522 b(p)-57 b(attern)521 b Fk(p)h Fp(such)g(that)f
Fk(\276)-22 b(;)184 b(p;)g(m)537 b Fj(&)f Fk(\277)125
b Fp(,)523 b(wher)-57 b(e)522 b Fk(\277)647 b Fp(is)522
b(an)g(analyzing)6974 13466 y(assignment)396 b(of)h(the)-57
b(or)g(em)396 b(1)p
 (#theorem.1.3.1) [[236 646 241 658] [1 1 1 [3 3]] [0 0 1]] pdfm (.)
6974 15642 y(Pr)-57 b(o)g(of.)464 b Fs(In)e(the)h(view)h(of)g(theorem)f
(2)p  (#theorem.1.3.2) [[272 626 277 638] [1 1 1 [3 3]] [0 0 1]] pdfm 
(,)h(w)-31 b(e)463 b(can)h(limit)h(the)e(pro)31 b(of)463
b(to)h(the)f(case)g(of)g Fk(m)g Fs(not)6974 16970 y(op)31
b(ening)370 b(b)31 b(o)-31 b(xes)369 b(in)h Fk(\276)408
b Fs(and)369 b(a)h(simple)g(pattern)g Fk(p)p Fs(.)8634
18299 y(W)-92 b(e)280 b(construct)g(a)g(pattern)h Fk(p)20470
17897 y Fg(0)21061 18299 y Fs(in)f(exactly)i(the)e(same)h(w)-31
b(a)g(y)281 b(as)f(in)g(the)h(theorem)g(1)p
 (#theorem.1.3.1) [[442 602 447 614] [1 1 1 [3 3]] [0 0 1]] pdfm (,)f
(except)6974 19627 y(for)369 b(one)h(minor)g(mo)31 b(di\257cation.)372
b(Replace)e(11)g(b)-31 b(y)369 b(11':)6580 21692 y(11'.)556
b(lik)-31 b(e)395 b(11)h(but)f(with)g(an)g(additional)j(constrain)-31
b(t)396 b(on)f(the)g(ordering)f(of)h(encryptions)h Fk(e)44723
21858 y Fi(i)45092 21692 y Fs(:)8856 23020 y(if)367 b(the)g(matc)-31
b(hing)369 b Fk(k)17173 23186 y Fi(e)17593 23297 y Fe(i)18366
23020 y Fs(is)e(unkno)-31 b(wn)368 b(to)f Fk(\276)40
b Fs(,)367 b(then)g(it)g(o)31 b(ccurs)366 b(in)h(a)g(pattern)h
Fk(p)40653 22618 y Fg(0)41330 23020 y Fs(or)f Fk(p)43241
22618 y Fg(0)43241 23308 y Fi(j)44074 23020 y Fs(for)8856
24348 y(some)i Fk(j)i(>)307 b(i)p Fs(.)6974 26443 y(Notice)329
b(that,)h(b)31 b(ecause)327 b(of)h(syn)-31 b(tactic)330
b(constrain)-31 b(t)329 b(on)f Fl(let)g Fs(and)g(b)-31
b(y)328 b(our)g(construction,)i(the)6974 27771 y(follo)-31
b(wing)473 b(m)-31 b(ust)471 b(also)g(hold:)g(if)f Fk(v)21433
27937 y Fi(e)21853 28048 y Fe(i)22729 27771 y Fs(do)31
b(es)469 b(not)i(o)31 b(ccur)469 b(in)i Fk(p)32431 27369
y Fg(0)33211 27771 y Fs(then)f Fk(v)36370 27937 y Fi(e)36790
28048 y Fe(i)37665 27771 y Fs(o)31 b(ccurs)469 b(in)i
Fk(p)43138 27369 y Fg(0)43138 28059 y Fi(j)44074 27771
y Fs(for)6974 29100 y(some)442 b Fk(j)491 b(>)428 b(i)p
Fs(.)443 b(Suc)-31 b(h)441 b(an)h(ordering)g(exists)g(since)f(all)i
(encryptions)f(and)g(decryption)h(k)-31 b(eys)6974 30428
y(are)369 b(reac)-31 b(hable)370 b(through)g Fk(\276)-22
b(;)184 b(m)p Fs(.)8634 31756 y(W)-92 b(e)294 b(no)-31
b(w)296 b(pro)-31 b(v)g(e)295 b(the)f(theorem)i(b)-31
b(y)294 b(induction)j(o)-31 b(v)g(er)295 b(the)f(construction)i(of)f
Fk(m)p Fs(.)g(The)g(only)6974 33085 y(in)-31 b(teresting)362
b(case)e(is)h(when)f Fk(m)g Fs(con)-31 b(tains)362 b(encryptions)f
(unkno)-31 b(wn)362 b(to)f Fk(\276)40 b Fs(,)360 b(with)i(decryption)
6974 34413 y(k)-31 b(eys)369 b(either)h(kno)-31 b(wn)370
b(to)g Fk(\276)408 b Fs(or)369 b(learned)h(b)-31 b(y)369
b Fk(\276)408 b Fs(through)370 b Fk(m)p Fs(.)g(In)e(this)i(case)f
Fk(p)g Fs(is)g(of)h(form)16753 36699 y Fl(let)308 b Fk(v)19341
36865 y Fi(e)19761 36976 y Fd(1)20555 36699 y Fs(=)g
Fk(p)22281 36865 y Fi(e)22701 36976 y Fd(1)23188 36699
y Fl(in)492 b Fk(:)184 b(:)g(:)j Fl(let)308 b Fk(v)28906
36865 y Fi(e)29326 36976 y Fe(n)30232 36699 y Fs(=)f
Fk(p)31957 36865 y Fi(e)32377 36976 y Fe(n)32975 36699
y Fl(in)h Fk(p)35002 36242 y Fg(0)35312 36699 y Fk(:)6974
38985 y Fs(T)-92 b(o)311 b(matc)-31 b(h)311 b Fk(p)f
Fs(against)i Fk(m)p Fs(,)f(according)g(to)g Fl(let)g
Fs(rule,)f(w)-31 b(e)311 b(ha)-31 b(v)g(e)311 b(\257rst)f(to)h(matc)-31
b(h)312 b Fk(\276)-22 b(;)184 b(p)41328 38583 y Fg(0)41949
38985 y Fs(against)6974 40313 y Fk(m)p Fs(,)369 b(yielding)i
Fk(\277)13257 40479 y Fi(n)13860 40313 y Fs(;)e(then)h(matc)-31
b(h)370 b Fk(\277)20893 40479 y Fi(i)21262 40313 y Fk(;)184
b(p)22310 40479 y Fi(e)22730 40590 y Fe(i)23506 40313
y Fs(against)371 b Fk(e)27840 40479 y Fi(i)28578 40313
y Fs(yielding)g Fk(\277)33213 40479 y Fi(i)p Fg(\241)p
Fh(1)34714 40313 y Fk(;)493 b(i)308 b Fs(=)f Fk(n;)184
b(:)g(:)g(:)k(;)c Fs(1.)8634 41642 y(See)443 b(that,)i(in)f(the)f
(\257rst)g(step,)g(matc)-31 b(hing)446 b Fk(p)27344 41240
y Fg(0)28098 41642 y Fs(against)f Fk(m)p Fs(,)e(is)g(the)h(same)f(as)g
(if)h(all)h(the)6974 42970 y Fk(e)7489 43136 y Fi(i)8329
42970 y Fs(w)-31 b(ere)472 b(blac)-31 b(k)472 b(b)31
b(o)-31 b(xes:)472 b(encryptions)g(whose)g(decryption)h(k)-31
b(eys)471 b(are)h(neither)f(kno)-31 b(wn)473 b(to)6974
44299 y Fk(\276)40 b Fs(,)388 b(nor)h(learned)g(b)-31
b(y)390 b(it)f(through)h Fk(m)p Fs(.)f(By)g(induction)i(o)-31
b(v)g(er)390 b(the)f(unin)-31 b(teresting)390 b(cases,)f(this)6974
45627 y(matc)-31 b(h)449 b(succeeds,)f(and)g Fk(\277)17946
45793 y Fi(n)18996 45627 y Fs(is)g(a)h(complete)g(assignmen)-31
b(t)450 b(kno)-31 b(wing)450 b(ab)31 b(out)449 b(all)h(creatable)6974
46955 y(submessages)369 b(of)g Fk(m)g Fp(not)474 b Fs(enclosed)370
b(in)f(encryptions)h(there.)8634 48284 y(By)f(the)g(ordering)g(of)h
Fk(e)18425 48450 y Fi(i)18794 48284 y Fs('s,)f(b)31 b(oth)369
b Fk(e)23342 48450 y Fi(n)24314 48284 y Fs(and)g(its)g(decryption)h(k)
-31 b(ey)369 b(is)g(kno)-31 b(wn)370 b(to)f Fk(\277)41968
48450 y Fi(n)42571 48284 y Fs(.)g(No)-31 b(w)6974 49612
y(iterate)436 b(the)g(induction)h(h)-31 b(yp)31 b(othesis)436
b(\(since)g(eac)-31 b(h)436 b Fk(e)29309 49778 y Fi(i)30113
49612 y Fs(and)f(its)h(decryption)g(k)-31 b(ey)436 b(is)f(in)h
Fk(\277)44600 49778 y Fi(i)44969 49612 y Fs(\))6974 50940
y(yielding:)410 b Fk(\277)11955 51106 y Fi(i)p Fg(\241)p
Fh(1)13863 50940 y Fs(is)e(a)f(complete)i(assignmen)-31
b(t)409 b(extending)g Fk(\277)32022 51106 y Fi(i)32390
50940 y Fs(,)f(kno)-31 b(wing)409 b(all)g(the)f(creatable)6974
52269 y(submessages)343 b(of)h Fk(e)15057 52435 y Fi(i)15769
52269 y Fs(whic)-31 b(h)345 b(are)e(not)i(enclosed)f(in)f(nested)h
(encryptions)g(there;)g(further,)f(if)6974 53597 y Fk(i)308
b(>)f Fs(1,)370 b(the)g(decryption)g(k)-31 b(ey)369 b(for)h
Fk(e)21683 53763 y Fi(i)p Fg(\241)p Fh(1)23554 53597
y Fs(is)f(kno)-31 b(wn)370 b(to)g Fk(\277)30009 53763
y Fi(i)p Fg(\241)p Fh(1)31511 53597 y Fs(,)f Fk(i)308
b Fs(=)f Fk(n;)184 b(:)g(:)g(:)189 b(;)184 b Fs(1.)8634
54925 y(But)370 b(then)f Fk(\277)13838 55091 y Fh(0)14704
54925 y Fs(is)g(the)g Fk(\277)494 b Fs(of)370 b(the)g(theorem.)18424
b Fb(\244)6974 58429 y Fm(Creating)470 b(Rules.)605 b
Fs(An)408 b(op)31 b(erational)410 b(seman)-31 b(tics)410
b(of)e(creating)i(can)e(b)31 b(e)407 b(succinctly)j(rep-)6974
59757 y(resen)-31 b(ted)369 b(b)-31 b(y)369 b(the)h(follo)-31
b(wing)372 b(deduction)f(rules,)e(with)23459 62044 y
Fk(\276)-22 b(;)184 b(p)308 b Fj(\045)g Fk(m;)184 b(\277)6974
64330 y Fs(meaning:)461 b(with)e(assignmen)-31 b(t)460
b Fk(\276)498 b Fs(the)459 b(pattern)g Fk(p)f Fs(creates)h(a)f(message)
h Fk(m)p Fs(,)g(yielding)i(new)6974 65658 y(assignmen)-31
b(t)391 b Fk(\277)125 b Fs(.)389 b(Creation)i(is)e(not)h(supp)31
b(osed)388 b(to)i(fail.)h(The)f(output)g(assignmen)-31
b(t)391 b(extends)25633 68979 y(13)p eop end end
%%Page: 14 14
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(w)-31 b(a)g(y)-92 b(.)288 b(Of)g(course,)f(the)g(output)h(message)6974
7306 y(is)369 b(unique)h(only)g(up)f(to)h(inessen)-31
b(tial)371 b(nondeterminism)f(of)456 b Fl(new)p Fs(.)9278
9593 y Fk(\276)-22 b(;)184 b(c)308 b Fj(\045)g Fk(c;)184
b(\276)29246 b Fs(\(11\))9278 11254 y Fk(\276)-22 b(;)184
b(v)348 b Fj(\045)307 b Fk(\276)40 b Fs(\()p Fk(v)g Fs(\))p
Fk(;)184 b(\276)27518 b Fs(\(12\))9936 12925 y Fk(cv)470
b(=)-676 b Fj(2)307 b Fk(\276)1147 b(c)307 b Fs(=)h Fl(new)369
b(T)p 9411 13419 9887 45 v 9411 14433 a Fk(\276)-22 b(;)184
b(cv)347 b Fj(\045)308 b Fk(c;)184 b(\276)-22 b(:)p Fs(\()p
Fk(cv)348 b Fj(!)308 b Fk(c)p Fs(\))20906 13674 y Fk(c)g
Fj(2)f(f)p Fk(nv)40 b(;)184 b(sv)40 b(;)184 b(pr)31 b(v)40
b Fj(g)p Fk(;)184 b Fs(T)372 b(appropriate)7341 b(\(13\))10453
15922 y Fk(\276)-22 b(;)184 b(dv)348 b Fj(\045)307 b
Fk(\277)64 b(;)184 b(k)p 9411 16416 7713 45 v 9411 17539
a(\276)-22 b(;)184 b Fl(op)q Fs(\()p Fk(dv)40 b Fs(\))308
b Fj(\045)p 15411 16637 612 45 v 307 w Fk(k)35 b(;)184
b(\277)43431 16670 y Fs(\(14\))9411 19089 y Fk(\276)-22
b(;)184 b(p)11070 19255 y Fh(1)11875 19089 y Fj(\045)307
b Fk(\277)64 b(;)184 b(m)15300 19255 y Fh(1)16904 19089
y Fk(\277)64 b(;)184 b Fs([)p Fk(p)18807 19255 y Fh(2)19305
19089 y Fk(;)g(:)g(:)g(:)k(;)c(p)22321 19255 y Fi(n)22924
19089 y Fs(])308 b Fj(\045)g Fs([)p Fk(m)26233 19255
y Fh(2)26730 19089 y Fk(;)184 b(:)g(:)g(:)k(;)c(m)30161
19255 y Fi(n)30764 19089 y Fs(])p Fk(;)g(!)p 9411 19583
22882 45 v 13126 20597 a(\276)-22 b(;)184 b Fs([)p Fk(p)15092
20763 y Fh(1)15590 20597 y Fk(;)g(:)g(:)g(:)k(;)c(p)18606
20763 y Fi(n)19209 20597 y Fs(])308 b Fj(\045)g Fs([)p
Fk(m)22518 20763 y Fh(1)23015 20597 y Fk(;)184 b(:)g(:)g(:)k(;)c(m)
26446 20763 y Fi(n)27049 20597 y Fs(])p Fk(;)g(!)43431
19837 y Fs(\(15\))9411 22146 y Fk(ev)470 b(=)-676 b Fj(2)308
b Fk(\276)1146 b(\276)-22 b(;)184 b(k)35 b(p)308 b Fj(\045)g
Fk(\277)64 b(;)184 b(k)1142 b(\277)64 b(;)184 b(p)308
b Fj(\045)g Fk(m;)184 b(!)1147 b(e)308 b Fs(=)g Fl(new)581
b(Encryption)r Fs(\()p Fk(k)35 b(;)184 b(m)39635 22312
y Fh(1)40133 22146 y Fs(\)\))p 9411 22641 31584 45 v
17761 23655 a Fk(\276)-22 b(;)184 b Fl(EP)q Fs(\()p Fk(ev)40
b(;)184 b(k)35 b(p;)184 b(p)p Fs(\))310 b Fj(\045)e Fk(e;)184
b(!)40 b(:)p Fs(\()p Fk(ev)349 b Fj(!)308 b Fk(e)p Fs(\))43431
22895 y(\(16\))9278 25304 y Fk(\276)-22 b(;)184 b Fl(EP)q
Fs(\()p Fk(ev)40 b(;)184 b(k)35 b(p;)184 b(p)p Fs(\))310
b Fj(\045)e Fk(\276)40 b Fs(\()p Fk(ev)g Fs(\))p Fk(;)184
b(\276)21755 b Fs(\(17\))9832 27027 y Fk(\276)10505 26625
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27027 y Fj(\045)307 b Fk(m)15491 27193 y Fh(1)15988 27027
y Fk(;)184 b(\277)1233 b(\277)64 b(:)p Fs(\()p Fk(v)347
b Fj(!)308 b Fk(m)22752 27193 y Fh(1)23248 27027 y Fs(\))p
Fk(;)184 b(p)24726 27193 y Fh(2)25532 27027 y Fj(\045)307
b Fk(m)27918 27193 y Fh(2)28415 27027 y Fk(;)184 b(!)p
9411 27521 20646 45 v 9411 28535 a(\276)-22 b(;)184 b
Fl(let)582 b Fk(v)347 b Fs(=)307 b Fk(p)15447 28701 y
Fh(1)16525 28535 y Fl(in)582 b Fk(p)18826 28701 y Fh(2)19630
28535 y Fj(\045)307 b Fk(m)22016 28701 y Fh(2)22513 28535
y Fk(;)184 b(!)23733 28215 y Fg(\241)24481 28535 y Fk(:)p
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Fs(\)\))43431 27776 y(\(18\))6974 30650 y Fm(Theorem)425
b(5.)554 b Fp(L)-57 b(et)424 b Fk(\276)462 b Fp(b)-57
b(e)424 b(a)f(c)-57 b(omplete)424 b(assignment)g(and)f
Fk(m)g Fp(a)g(message.)g(Then)h(ther)-57 b(e)423 b(is)6974
31978 y(a)360 b(p)-57 b(attern)360 b Fk(p)g Fp(such)g(that)f
Fk(\276)-22 b(;)184 b(p)308 b Fj(\045)g Fk(m)21649 31577
y Fg(0)21959 31978 y Fk(;)184 b(\277)23059 31577 y Fg(0)23371
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b(assignment)g Fk(!)40 b Fp(,)360 b(to)g(which)g(no)6974
33307 y(submessage,)298 b(cr)-57 b(e)g(ate)g(d)299 b(fr)-57
b(om)299 b Fk(\276)337 b Fp(either)298 b(in)h Fk(m)f
Fp(or)g(in)h Fk(m)29331 32905 y Fg(0)29641 33307 y Fp(,)g(is)f(known,)g
Fk(m)g Fp(is)h(indistinguishable)6974 34635 y(fr)-57
b(om)397 b Fk(m)10563 34233 y Fg(0)10873 34635 y Fp(.)6974
36812 y(Pr)-57 b(o)g(of.)468 b Fs(T)-92 b(ak)-31 b(e)468
b(a)f(pattern)h Fk(p)f Fs(as)f(in)i(the)f(pro)31 b(of)467
b(of)h(theorem)g(3)p
 (#theorem.1.3.3) [[367 436 372 448] [1 1 1 [3 3]] [0 0 1]] pdfm (.)g
(The)f(creation)h(rules)f(tra-)6974 38140 y(v)-31 b(erse)349
b Fk(m)h Fs(in)g(a)g(b)31 b(ottom-up)352 b(manner,)e(creating)i(in)e
(fact,)h(b)-31 b(y)350 b(in)-31 b(v)g(oking)368 b Fl(new)p
Fs(,)351 b(new)f(v)-31 b(ersions)6974 39468 y(of)506
b(submessages)f(created)g(in)h Fk(m)f Fs(from)g Fk(\276)40
b Fs(.)505 b(By)h(rules)e(and)i(the)f(construction)i(of)f
Fk(p)f Fs(ev-)6974 40797 y(ery)433 b(submessage)h(needed)g(is)g
(created)g(only)g(once)h(and)f(put)g(in)g(the)g(righ)-31
b(t)435 b(places.)g(Since)6974 42125 y(the)465 b(resp)31
b(ectiv)-31 b(e)466 b(submessages)f(created)g(in)h Fk(m)f
Fs(and)g Fk(m)30690 41723 y Fg(0)31466 42125 y Fs(are)g(fresh)f(to)j
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b(of)f(the)f(theorem,)h(there)f(are)g(also)h(indistinguishable)i(to)e
(it.)6691 b Fb(\244)6974 47180 y Fq(4)1494 b(Mo)42 b(delling)499
b(Proto)42 b(cols)6974 49718 y Fs(Proto)31 b(col)518
b(roles)f(are)f(usually)i(informally)h(depicted)f(as)e(a)h(sequence)f
(of)h(input{output)6974 51046 y(patterns,)441 b(whic)-31
b(h)441 b(is)f(often)h(directly)g(re\260ected)e(in)i(the)f(formal)i(mo)
31 b(dels.)441 b(W)-92 b(e)439 b(follo)-31 b(w)443 b(the)6974
52375 y(v)-31 b(enerable)270 b(practice,)h(but)f(in)g(our)f(terms.)h(A)
f(nice)h(side)g(e\256ect)f(is)h(that)h(w)-31 b(e)270
b(can)f(immediately)6974 53703 y(execute)407 b(the)g(roles;)g(the)g
(theorems)g(of)h(the)f(preceding)g(section)g(delineate)i(precisely)e
(the)6974 55031 y(result)369 b(of)h(this)f(execution.)8634
56360 y(W)-92 b(e)382 b(sho)-31 b(w)382 b(that)i(an)-31
b(y)383 b(en)-31 b(vironmen)g(t)384 b(in)-31 b(teraction)384
b(with)g(a)e(m)-31 b(ultiset)385 b(of)d(proto)31 b(col)384
b(roles)6974 57688 y(can)540 b(also)i(b)31 b(e)539 b(faithfully)544
b(represen)-31 b(ted)539 b(b)-31 b(y)540 b(a)h(con\257guration)i(of)d
(\(extended\))i(patterns.)6974 59016 y(By)388 b Fp(any)486
b Fs(w)-31 b(e)389 b(mean)g(an)-31 b(y)-92 b(,)389 b(under)e(some)h
(extremely)i(general)e(constrain)-31 b(ts,)390 b(whic)-31
b(h)389 b(outrule)6974 60345 y(only)547 b(true)f(magic,)i(jumping)g
(out)f(of)f(the)g(abstraction)i(lev)-31 b(el)548 b(of)e(the)h
(language.)h(This)6974 61673 y(means)e(that)h(imp)31
b(ossibilit)-31 b(y)550 b(of)c Fp(c)-57 b(on\257gur)g(ations)638
b Fs(expressing)546 b(attac)-31 b(ks)548 b(of)e(this)h(or)f(that)6974
63001 y(kind,)385 b(in)g(fact)g(implies)h(imp)31 b(ossibilit)-31
b(y)387 b(of)e(suc)-31 b(h)384 b Fp(attacks)474 b Fs(b)-31
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64330 y(ASM)378 b(programs)i(are)e(univ)-31 b(ersal)380
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1 w(,BG01)p
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%%Page: 15 15
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%%Page: 16 16
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2 w(])344 b(can)f(b)31 b(e)343 b(expressed)6974 8634
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 (#cite.web) [[154 459 171 471] [1 1 1 [3 3]] [0 0 1]] pdfm 
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%%Page: 18 18
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