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%!PS-Adobe-2.0 %%Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software %%Title: concepts-ai.dvi %%Pages: 24 %%PageOrder: Ascend %%BoundingBox: 0 0 595 842 %%DocumentFonts: CMR17 CMBX12 CMR12 CMTT12 CMBX10 CMR10 CMTI10 CMTI12 %%+ CMR8 CMR7 CMMI12 CMSY8 CMMI8 CMR6 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips concepts-ai %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 1999.12.18:1124 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: texps.pro 0 0 %! TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2 index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0 ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{ pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type /nametype eq{exit}if exch pop}loop}ifelse[2 index currentdict end definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[ exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}if} forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}def end %%EndProcSet %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % 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. 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cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % 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 (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 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 104 /h put dup 116 /t put readonly def /FontBBox{-24 -250 1110 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % 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 (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 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 48 /prime put readonly def /FontBBox{-30 -955 1185 779}readonly 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 76 /L put dup 97 /a put dup 99 /c put dup 101 /e put dup 102 /f put dup 105 /i 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 121 /y put readonly def /FontBBox{-163 -250 1146 969}readonly def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI12 %!PS-AdobeFont-1.1: CMMI12 1.100 %%CreationDate: 1996 Jul 27 08:57:55 % 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. 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 34 /quotedblright put dup 39 /quoteright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 53 /five put dup 54 /six put dup 57 /nine put dup 58 /colon put dup 65 /A put dup 73 /I put dup 76 /L put dup 77 /M put dup 82 /R put dup 83 /S put dup 84 /T put dup 87 /W put dup 92 /quotedblleft 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 dup 122 /z put readonly def /FontBBox{-251 -250 1009 969}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF7158F1163BC1F3352E22A1452E73FECA8A4 87100FB1FFC4C8AF409B2067537220E605DA0852CA49839E1386AF9D7A1A455F D1F017CE45884D76EF2CB9BC5821FD25365DDEA6E45F332B5F68A44AD8A530F0 92A36FAC8D27F9087AFEEA2096F839A2BC4B937F24E080EF7C0F9374A18D565C 295A05210DB96A23175AC59A9BD0147A310EF49C551A417E0A22703F94FF7B75 409A5D417DA6730A69E310FA6A4229FC7E4F620B0FC4C63C50E99E179EB51E4C 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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 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 readonly def /FontBBox{-27 -250 1122 750}readonly 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 12 /fi put dup 34 /quotedblright put dup 39 /quoteright 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 52 /four 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 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 79 /O put dup 80 /P put dup 81 /Q 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 92 /quotedblleft 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 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % 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. 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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 (CMTI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI12 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 12 /fi put dup 13 /fl put dup 38 /ampersand put dup 39 /quoteright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 49 /one put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six 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 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 81 /Q 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 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 dup 122 /z put readonly def /FontBBox{-36 -251 1103 750}readonly def currentdict end currentfile eexec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%%CreationDate: 1991 Aug 20 16:38:05 % 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 (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 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 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 20 /caron put dup 23 /ring put dup 34 /quotedblright 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 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 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 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 79 /O put dup 80 /P put dup 81 /Q 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 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright 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 dup 122 /z put dup 123 /endash put dup 124 /emdash put dup 127 /dieresis put readonly def /FontBBox{-34 -251 988 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 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{-301 -250 1164 946}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMTT12 %!PS-AdobeFont-1.1: CMTT12 1.0 %%CreationDate: 1991 Aug 20 16:45:46 % 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 (CMTT12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def end readonly def /FontName /CMTT12 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 45 /hyphen put dup 46 /period put dup 47 /slash put dup 58 /colon put dup 64 /at put 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 106 /j 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 119 /w put readonly def /FontBBox{-1 -234 524 695}readonly def currentdict end currentfile eexec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b(LOT)g(OF)g(CONCEPTS) 324 3239 y Fk(The)36 b(uses)h(of)e(logic)g(in)h(AI)f(and)h(other)f (parts)h(of)e(computer)j(science)g(that)e(ha)m(v)m(e)i(b)s(een)324 3359 y(undertak)m(en)44 b(so)f(far)f(do)h(not)g(in)m(v)m(olv)m(e)i(suc) m(h)f(an)e(extensiv)m(e)k(collection)e(of)e(concepts.)324 3479 y(Ho)m(w)m(ev)m(er,)34 b(it)e(seems)h(to)f(me)g(that)f(reac)m (hing)i(h)m(uman)g(lev)m(el)g(AI)f(will)g(in)m(v)m(olv)m(e)i(all)e(of)f (the)324 3600 y(follo)m(wing|and)h(probably)i(more.)324 3779 y Fh(Logical)k(AI)48 b Fk(Logical)39 b(AI)g(in)g(the)g(sense)i(of) d(the)h(presen)m(t)i(article)e(w)m(as)h(prop)s(osed)f(in)568 3899 y([McC59)q(])32 b(and)h(also)g(in)g([McC89].)44 b(The)34 b(idea)f(is)g(that)f(an)h(agen)m(t)g(can)g(represen)m(t)568 4020 y(kno)m(wledge)e(of)e(its)h(w)m(orld,)h(its)f(goals)f(and)h(the)g (curren)m(t)g(situation)g(b)m(y)h(sen)m(tences)568 4140 y(in)43 b(logic)h(and)f(decide)i(what)f(to)f(do)g(b)m(y)h(inferring)g (that)f(a)g(certain)h(action)g(or)568 4261 y(course)33 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f(limited)h(subset)h(of)e(logic)h(and)f(use)i(non-logical)d(programs) 568 668 y(as)44 b(w)m(ell)h(as)f(logical)g(inference)h(to)f(mak)m(e)h (inferences.)80 b(Databases)44 b(often)g(use)568 789 y(only)37 b(ground)f(form)m(ulas.)57 b(Logic)36 b(programming)h (restricts)h(its)f(represen)m(tation)568 909 y(to)g(Horn)h(clauses.)60 b(Hardw)m(are)38 b(design)h(usually)g(in)m(v)m(olv)m(es)h(only)f(prop)s (ositional)568 1029 y(logic.)56 b(These)38 b(restrictions)g(are)f (almost)g(alw)m(a)m(ys)h(justi\014ed)g(b)m(y)g(considerations)568 1150 y(of)32 b(computational)h(e\016ciency)-8 b(.)324 1339 y Fh(Epistemology)38 b(and)g(Heuristics)49 b Fk(In)26 b(philosoph)m(y)-8 b(,)29 b(epistemology)e(is)g(the)f(study)h(of)568 1459 y(kno)m(wledge,)g(its)d(form)f(and)h(limitations.)41 b(This)25 b(will)f(do)g(prett)m(y)h(w)m(ell)g(for)e(AI)g(also,)568 1580 y(pro)m(vided)28 b(w)m(e)g(include)g(in)f(the)g(study)h(common)f (sense)i(kno)m(wledge)f(of)f(the)g(w)m(orld)568 1700 y(and)40 b(scien)m(ti\014c)j(kno)m(wledge.)69 b(Both)41 b(of)f(these)i(o\013er)e(di\016culties)j(philosophers)568 1821 y(ha)m(v)m(en't)k(studied,)k(e.g.)84 b(they)47 b(ha)m(v)m(en't)g (studied)h(in)e(detail)g(what)g(p)s(eople)h(or)568 1941 y(mac)m(hines)h(can)f(kno)m(w)g(ab)s(out)f(the)h(shap)s(e)g(of)f(an)h (ob)5 b(ject)47 b(the)g(\014eld)g(of)f(view,)568 2061 y(remem)m(b)s(ered)g(from)d(previously)j(b)s(eing)f(in)f(the)g(\014eld) h(of)e(view,)48 b(remem)m(b)s(ered)568 2182 y(from)23 b(a)g(description)i(or)e(remem)m(b)s(ered)i(from)e(ha)m(ving)h(b)s(een) h(felt)e(with)h(the)g(hands.)568 2302 y(This)33 b(is)g(discussed)j(a)c (little)h(in)g([MH69].)568 2457 y(Most)40 b(AI)g(w)m(ork)h(on)e (heuristics,)44 b(i.e.)66 b(the)40 b(algorithms)g(that)g(solv)m(e)h (problems,)568 2577 y(has)32 b(usually)h(tak)m(en)g(for)e(gran)m(ted)h (a)g(particular)g(epistemology)h(of)f(a)f(particular)568 2698 y(domain,)i(e.g.)43 b(the)33 b(represen)m(tation)i(of)d(c)m(hess)i (p)s(ositions.)324 2887 y Fh(Bounded)k(Informatic)g(Situation)49 b Fk(F)-8 b(ormal)40 b(theories)g(in)g(the)g(ph)m(ysical)i(sciences)568 3007 y(deal)36 b(with)g(a)g Fj(b)-5 b(ounde)g(d)37 b(informatic)g (situation)p Fk(.)53 b(Scien)m(tists)38 b(decide)f(informally)568 3128 y(in)c(adv)-5 b(ance)35 b(what)f(phenomena)g(to)g(tak)m(e)g(in)m (to)g(accoun)m(t.)47 b(F)-8 b(or)33 b(example,)i(m)m(uc)m(h)568 3248 y(celestial)h(mec)m(hanics)i(is)d(done)h(within)g(the)f(Newtonian) h(gra)m(vitational)f(theory)568 3368 y(and)e(do)s(es)g(not)g(tak)m(e)h (in)m(to)f(accoun)m(t)h(p)s(ossible)g(additional)f(e\013ects)i(suc)m(h) f(as)f(out-)568 3489 y(gassing)44 b(from)g(a)g(comet)h(or)f (electromagnetic)i(forces)f(exerted)h(b)m(y)f(the)g(solar)568 3609 y(wind.)e(If)31 b(more)g(phenomena)h(are)f(to)f(b)s(e)h (considered,)i(scien)m(tists)g(m)m(ust)f(mak)m(e)g(a)568 3729 y(new)h(theories|and)h(of)e(course)h(they)h(do.)568 3884 y(Most)f(AI)g(formalisms)h(also)f(w)m(ork)h(only)f(in)g(a)f(b)s (ounded)i(informatic)f(situation.)568 4005 y(What)39 b(phenomena)i(to)e(tak)m(e)i(in)m(to)f(accoun)m(t)g(is)g(decided)h(b)m (y)g(a)e(p)s(erson)i(b)s(efore)568 4125 y(the)36 b(formal)f(theory)i (is)f(constructed.)55 b(With)37 b(suc)m(h)g(restrictions,)h(m)m(uc)m(h) g(of)d(the)568 4245 y(reasoning)45 b(can)h(b)s(e)f(monotonic,)k(but)c (suc)m(h)i(systems)g(cannot)f(reac)m(h)g(h)m(uman)568 4366 y(lev)m(el)38 b(abilit)m(y)-8 b(.)55 b(F)-8 b(or)35 b(that,)i(the)g(mac)m(hine)h(will)e(ha)m(v)m(e)i(to)e(decide)i(for)d (itself)i(what)568 4486 y(information)44 b(is)g(relev)-5 b(an)m(t,)48 b(and)d(that)f(reasoning)g(will)h(inevitably)h(b)s(e)e (partly)568 4607 y(nonmonotonic.)568 4761 y(One)37 b(example)h(is)f (the)g(\\blo)s(c)m(ks)h(w)m(orld")f(where)h(the)f(p)s(osition)g(of)f(a) h(blo)s(c)m(k)g Fe(x)g Fk(is)568 4882 y(en)m(tirely)j(c)m(haracterized) g(b)m(y)f(a)f(sen)m(tence)i Fe(At)p Fk(\()p Fe(x;)17 b(l)r Fk(\))39 b(or)f Fe(O)s(n)p Fk(\()p Fe(x;)17 b(y)t Fk(\),)38 b(where)i Fe(l)g Fk(is)f(a)568 5002 y(lo)s(cation)32 b(or)g Fe(y)k Fk(is)d(another)g(blo)s(c)m(k.)1918 5251 y(3)p eop end %%Page: 4 4 TeXDict begin 4 3 bop 568 548 a Fk(Another)25 b(example)i(is)f(the)f (Mycin)i([DS77)o(])e(exp)s(ert)h(system)h(in)f(whic)m(h)g(the)g(on)m (tol-)568 668 y(ogy)37 b(\(ob)5 b(jects)38 b(considered\))g(includes)h (diseases,)i(symptoms,)f(and)d(drugs,)h(but)568 789 y(not)i(patien)m (ts)h(\(there)g(is)f(only)h(one\),)h(do)s(ctors)e(or)g(ev)m(en)m(ts)i (o)s(ccurring)f(in)f(time.)568 909 y(See)33 b([McC83)q(])g(for)f(more)g (commen)m(t.)324 1112 y Fh(Common)38 b(Sense)h(Kno)m(wledge)f(of)f(the) h(W)-9 b(orld)48 b Fk(As)22 b(\014rst)h(discussed)h(in)e([McC59)q(],) 568 1233 y(h)m(umans)38 b(ha)m(v)m(e)h(a)d(lot)h(of)g(kno)m(wledge)i (of)d(the)i(w)m(orld)g(whic)m(h)g(cannot)g(b)s(e)f(put)g(in)568 1353 y(the)f(form)f(of)g(precise)j(theories.)54 b(Though)36 b(the)g(information)g(is)g(imprecise,)j(w)m(e)568 1474 y(b)s(eliev)m(e)31 b(it)e(can)g(still)h(b)s(e)g(put)f(in)h(logical)f (form.)42 b(The)30 b(Cyc)h(pro)5 b(ject)30 b([LG90)o(])f(aims)568 1594 y(at)44 b(making)i(a)f(large)g(base)h(of)e(common)i(sense)h(kno)m (wledge.)83 b(Cyc)46 b(is)f(useful,)568 1714 y(but)d(further)h (progress)g(in)g(logical)f(AI)h(is)g(needed)h(for)e(Cyc)h(to)f(reac)m (h)i(its)e(full)568 1835 y(p)s(oten)m(tial.)324 2038 y Fh(Common)c(Sense)h(Informatic)e(Situation)50 b Fk(In)29 b(general)g(a)f(thinking)i(h)m(uman)f(is)g(in)568 2159 y(what)36 b(w)m(e)h(call)f(the)h Fj(c)-5 b(ommon)36 b(sense)h (informatic)g(situation)p Fk(,)g(as)g(distinct)g(from)568 2279 y(the)f Fj(b)-5 b(ounde)g(d)37 b(informatic)g(situation)p Fk(.)52 b(The)37 b(kno)m(wn)g(facts)f(are)g(necessarily)i(in-)568 2399 y(complete.)74 b(W)-8 b(e)43 b(liv)m(e)h(in)f(a)f(w)m(orld)h(of)f (middle-sized)j(ob)5 b(ject)43 b(whic)m(h)h(can)f(only)568 2520 y(b)s(e)g(partly)h(observ)m(ed.)79 b(W)-8 b(e)44 b(only)g(partly)f(kno)m(w)i(ho)m(w)f(the)g(ob)5 b(jects)45 b(that)e(can)568 2640 y(b)s(e)j(observ)m(ed)i(are)e(built)g(from)g (elemen)m(tary)i(particles)f(in)f(general,)k(and)c(our)568 2760 y(information)d(is)h(ev)m(en)g(more)g(incomplete)h(ab)s(out)e(the) g(structure)i(of)e(particu-)568 2881 y(lar)33 b(ob)5 b(jects.)46 b(These)35 b(limitations)f(apply)g(to)f(an)m(y)h(buildable) g(mac)m(hines,)i(so)d(the)568 3001 y(problem)g(is)g(not)g(just)f(one)h (of)f(h)m(uman)i(limitations.)2506 2965 y Fi(2)568 3163 y Fk(In)29 b(man)m(y)i(actual)e(situations,)i(there)f(is)g(no)f Fj(a)j(priori)39 b Fk(limitation)29 b(on)h(what)f(facts)568 3284 y(are)43 b(relev)-5 b(an)m(t.)75 b(It)43 b(ma)m(y)h(not)f(ev)m(en) i(b)s(e)e(clear)g(in)g(adv)-5 b(ance)44 b(what)f(phenomena)568 3404 y(should)36 b(b)s(e)g(tak)m(en)h(in)m(to)f(accoun)m(t.)54 b(The)37 b(consequences)i(of)c(actions)h(cannot)g(b)s(e)568 3524 y(fully)c(determined.)45 b(The)32 b Fj(c)-5 b(ommon)33 b(sense)g(informatic)g(situation)39 b Fk(necessitates)568 3645 y(the)f(use)g(of)g Fj(appr)-5 b(oximate)38 b(c)-5 b(onc)g(epts)45 b Fk(that)37 b(cannot)h(b)s(e)g(fully)g(de\014ned)h (and)f(the)568 3765 y(use)32 b(of)g Fj(appr)-5 b(oximate)33 b(the)-5 b(ories)39 b Fk(in)m(v)m(olving)34 b(them.)44 b(It)32 b(also)g(requires)h Fj(nonmono-)568 3885 y(tonic)46 b Fk(reasoning)41 b(in)g(reac)m(hing)g(conclusions.)70 b(Man)m(y)41 b(AI)g(texts)h(assume)g(that)568 4006 y(the)47 b(information)g(situation)h(is)f(b)s(ounded|without)h(ev)m(en)h(men)m (tioning)f(the)568 4126 y(assumption)34 b(explicitly)-8 b(.)568 4288 y(The)30 b(common)g(sense)g(informatic)g(situation)f (often)h(includes)h(some)f(kno)m(wledge)568 4408 y(ab)s(out)i(the)h (system's)i(men)m(tal)e(state)g(as)g(discussed)i(in)e([McC96a)q(].)p 324 4501 1296 4 v 436 4563 a Fg(2)473 4593 y Ff(Science)28 b(\014ction)f(and)g(scien)n(ti\014c)g(and)g(philosophical)g(sp)r (eculation)g(ha)n(v)n(e)f(often)h(indulged)h(in)f(the)324 4692 y Fd(L)l(aplacian)j(fantasy)k Ff(of)25 b(sup)r(er)h(b)r(eings)f (able)h(to)f(predict)h(the)g(future)g(b)n(y)f(kno)n(wing)g(the)h(p)r (ositions)f(and)324 4792 y(v)n(elo)r(cities)h(of)i(all)f(the)h (particles.)36 b(That)27 b(isn't)h(the)f(direction)g(to)g(go.)36 b(Rather)27 b(they)h(w)n(ould)f(b)r(e)g(b)r(etter)324 4892 y(at)g(using)g(the)h(information)f(that)h(is)g(a)n(v)-5 b(ailable)26 b(to)i(the)g(senses.)1918 5251 y Fk(4)p eop end %%Page: 5 5 TeXDict begin 5 4 bop 568 548 a Fk(One)28 b(k)m(ey)i(problem)f(in)f (formalizing)g(the)h(common)g(sense)h(informatic)e(situation)568 668 y(is)33 b(to)f(mak)m(e)i(the)f(axiom)g(sets)g(elab)s(oration)g (toleran)m(t2.)324 872 y Fh(Epistemologically)39 b(Adequate)f (Languages)51 b Fk(A)46 b(logical)g(language)g(for)f(use)i(in)568 992 y(the)36 b(common)i(sense)g(informatic)e(situation)h(m)m(ust)h(b)s (e)e(capable)h(of)f(expressing)568 1112 y(directly)50 b(the)f(information)f(actually)h(a)m(v)-5 b(ailable)50 b(to)e(agen)m(ts.)92 b(F)-8 b(or)48 b(example,)568 1233 y(giving)e(the)f(densit)m(y)j(and)e(temp)s(erature)g(of)f(air)g(and)h (its)g(v)m(elo)s(cit)m(y)h(\014eld)f(and)568 1353 y(the)29 b(Na)m(vier-Stok)m(es)h(equations)g(do)s(es)f(not)f(practically)i(allo) m(w)f(expressing)h(what)568 1474 y(a)37 b(p)s(erson)i(or)e(rob)s(ot)g (actually)i(can)f(kno)m(w)h(ab)s(out)f(the)g(wind)h(that)e(is)i(blo)m (wing.)568 1594 y(W)-8 b(e)48 b(and)f(rob)s(ots)h(can)f(talk)h(ab)s (out)f(its)h(direction,)53 b(strength)48 b(and)g(gustiness)568 1714 y(appro)m(ximately)-8 b(,)28 b(and)d(can)g(giv)m(e)h(a)e(few)i(of) e(these)j(quan)m(titities)f(n)m(umerical)h(v)-5 b(alues)568 1835 y(with)39 b(the)f(aid)h(of)f(instrumen)m(ts)i(if)f(instrumen)m(ts) h(are)f(a)m(v)-5 b(ailable,)40 b(but)f(w)m(e)g(ha)m(v)m(e)568 1955 y(to)d(deal)i(with)g(the)f(phenomena)i(ev)m(en)g(when)f(no)f(n)m (um)m(b)s(ers)i(can)f(b)s(e)f(obtained.)568 2076 y(The)c(idea)g(of)f (epistemological)i(adequacy)g(w)m(as)g(in)m(tro)s(duced)g(in)e([MH69)q (].)324 2279 y Fh(Rob)s(ot)48 b Fk(W)-8 b(e)36 b(can)f(generalize)i (the)f(notion)f(of)g(a)g(rob)s(ot)f(as)i(a)e(system)k(with)e(a)f(v)-5 b(arian)m(t)568 2399 y(of)38 b(the)g(ph)m(ysical)j(capabilities)f(of)e (a)g(p)s(erson,)i(including)g(the)f(abilit)m(y)g(to)f(mo)m(v)m(e)568 2520 y(around,)50 b(manipulate)d(ob)5 b(jects)48 b(and)f(p)s(erceiv)m (e)i(scenes,)j(all)47 b(con)m(trolled)g(b)m(y)h(a)568 2640 y(computer)40 b(program.)64 b(More)39 b(generally)-8 b(,)42 b(a)d(rob)s(ot)g(is)h(a)f(computer-con)m(trolled)568 2760 y(system)44 b(that)e(can)g(explore)h(and)g(manipulate)g(an)f(en)m (vironmen)m(t)i(that)e(is)h(not)568 2881 y(part)28 b(of)h(the)g(rob)s (ot)f(itself)i(and)f(is,)h(in)f(some)h(imp)s(ortan)m(t)f(sense,)j (larger)c(than)h(the)568 3001 y(rob)s(ot.)68 b(A)41 b(rob)s(ot)f (should)i(main)m(tain)g(a)e(con)m(tin)m(ued)j(existence)h(and)d(not)g (reset)568 3122 y(itself)36 b(to)e(a)h(standard)h(state)f(after)g(eac)m (h)h(task.)52 b(F)-8 b(rom)35 b(this)g(p)s(oin)m(t)h(of)e(view,)k(w)m (e)568 3242 y(can)f(ha)m(v)m(e)i(a)e(rob)s(ot)g(that)g(explores)i(and)e (manipulates)i(the)e(In)m(ternet)i(without)568 3362 y(it)31 b(needing)i(legs,)g(hands)f(and)g(ey)m(es.)45 b(The)33 b(considerations)g(of)e(this)i(article)f(that)568 3483 y(men)m(tion)e(rob)s(ots)g(are)f(in)m(tended)i(to)f(apply)g(to)f(this)h (more)g(general)g(notion.)43 b(The)568 3603 y(in)m(ternet)33 b(rob)s(ots)g(discussed)i(so)e(far)f(are)h(v)m(ery)h(limited)f(in)g (their)g(men)m(talities.)324 3807 y Fh(Qualitativ)m(e)38 b(Reasoning)50 b Fk(This)36 b(concerns)h(reasoning)e(ab)s(out)g(ph)m (ysical)i(pro)s(cesses)568 3927 y(when)51 b(the)f(n)m(umerical)h (relations)g(required)g(for)f(applying)g(the)h(form)m(ulas)f(of)568 4047 y(ph)m(ysics)c(are)e(not)g(kno)m(wn.)80 b(Most)45 b(of)e(the)i(w)m(ork)g(in)f(the)h(area)f(assumes)i(that)568 4168 y(information)29 b(ab)s(out)f(what)i(pro)s(cesses)h(to)e(tak)m(e)h (in)m(to)f(accoun)m(t)h(are)f(pro)m(vided)i(b)m(y)568 4288 y(the)k(user.)50 b(Systems)37 b(that)e(m)m(ust)g(b)s(e)g(giv)m(en) h(this)f(information)g(often)f(w)m(on't)i(do)568 4408 y(h)m(uman)d(lev)m(el)h(qualitativ)m(e)g(reasoning.)44 b(See)34 b([De90)o(])f(and)g([Kui94)o(].)324 4612 y Fh(Common)38 b(Sense)h(Ph)m(ysics)49 b Fk(Corresp)s(onds)i(to)f(p)s(eople's)i (abilit)m(y)f(to)f(mak)m(e)h(deci-)568 4732 y(sions)c(in)m(v)m(olving)h (ph)m(ysical)g(phenomena)f(in)f(daily)h(life,)j(e.g.)84 b(deciding)48 b(that)568 4853 y(the)38 b(spill)g(of)g(a)f(cup)i(of)e (hot)g(co\013ee)i(is)f(lik)m(ely)i(to)d(burn)h(Mr.)59 b(A,)38 b(but)g(Mr.)59 b(B)38 b(is)568 4973 y(far)j(enough)h(to)f(b)s (e)h(safe.)72 b(It)41 b(di\013ers)i(from)e(qualitativ)m(e)j(ph)m (ysics,)i(as)c(studied)1918 5251 y(5)p eop end %%Page: 6 6 TeXDict begin 6 5 bop 568 548 a Fk(b)m(y)36 b(most)g(researc)m(hers)i (in)d Fj(qualitative)j(r)-5 b(e)g(asoning)p Fk(,)35 b(in)g(that)g(the)h (system)i(doing)568 668 y(the)33 b(reasoning)h(m)m(ust)g(itself)g(use)g (common)f(sense)i(kno)m(wledge)g(to)e(decide)h(what)568 789 y(phenomena)26 b(are)f(relev)-5 b(an)m(t)26 b(in)g(the)f (particular)h(case.)42 b(See)26 b([Ha)m(y85])f(for)g(one)g(view)568 909 y(of)32 b(this.)324 1112 y Fh(Exp)s(ert)37 b(Systems)49 b Fk(These)37 b(are)d(designed)i(b)m(y)g(p)s(eople,)f(i.e.)50 b(not)34 b(b)m(y)i(computer)f(pro-)568 1233 y(grams,)30 b(to)e(tak)m(e)i(a)f(limited)h(set)g(of)e(phenomena)j(in)m(to)e(accoun) m(t.)43 b(Man)m(y)30 b(of)f(them)568 1353 y(do)41 b(their)i(reasoning)f (using)h(logic,)h(and)e(others)g(use)h(formalisms)g(amoun)m(ting)568 1474 y(to)36 b(subsets)i(of)e(\014rst)g(order)h(logic.)54 b(Man)m(y)38 b(require)f(v)m(ery)h(little)f(common)g(sense)568 1594 y(kno)m(wledge)32 b(and)f(reasoning)g(abilit)m(y)-8 b(.)43 b(Restricting)31 b(expressiv)m(eness)36 b(of)30 b(the)h(rep-)568 1714 y(resen)m(tation)j(of)e(facts)g(is)i(often)e (done)h(to)f(increase)i(computational)f(e\016ciency)-8 b(.)324 1918 y Fh(Kno)m(wledge)38 b(Lev)m(el)49 b Fk(Allen)43 b(New)m(ell)g(\([New82])f(and)f([New93)q(]\))g(did)h(not)f(adv)m(o)s (cate)568 2038 y(\(as)f(w)m(e)i(do)e(here\))h(using)g(logic)f(as)h(the) g(w)m(a)m(y)g(a)f(system)j(should)e(represen)m(t)h(its)568 2159 y(kno)m(wledge)34 b(in)m(ternally)-8 b(.)45 b(He)33 b(did)f(sa)m(y)i(that)e(a)g(system)i(can)f(often)f(b)s(e)h(appropri-) 568 2279 y(ately)40 b(describ)s(ed)i(as)e(kno)m(wing)h(certain)g(facts) f(ev)m(en)i(when)f(the)f(facts)h(are)f(not)568 2399 y(represen)m(ted)c (b)m(y)f(sen)m(tences)i(in)e(memory)-8 b(.)49 b(This)35 b(view)g(corresp)s(onds)h(to)e(Daniel)568 2520 y(Dennett's)46 b Fj(intentional)h(stanc)-5 b(e)52 b Fk([Den71],)d(reprin)m(ted)e(in)f ([Den78],)j(and)d(w)m(as)568 2640 y(also)32 b(prop)s(osed)h(and)g(elab) s(orated)g(in)g([McC79].)324 2844 y Fh(Elab)s(oration)38 b(T)-9 b(olerance)49 b Fk(A)36 b(set)h(of)f(facts)g(describ)s(ed)i(as)e (a)g(logical)g(theory)h(needs)568 2964 y(to)g(b)s(e)i(mo)s(di\014able)f (b)m(y)i(adding)e(sen)m(tences)j(rather)d(than)g(only)h(b)m(y)g(going)f (bac)m(k)568 3084 y(to)28 b(natural)g(language)g(and)h(starting)f(o)m (v)m(er.)43 b(F)-8 b(or)28 b(example,)i(w)m(e)g(can)f(mo)s(dify)f(the) 568 3205 y(missionaries)39 b(and)f(cannibals)g(problem)g(b)m(y)h(sa)m (ying)f(that)f(there)i(is)e(an)h(oar)f(on)568 3325 y(eac)m(h)30 b(bank)g(of)g(the)g(riv)m(er)g(and)g(that)g(the)g(b)s(oat)f(can)h(b)s (e)f(prop)s(elled)i(with)f(one)g(oar)568 3445 y(carrying)h(one)f(p)s (erson)h(but)g(needs)h(t)m(w)m(o)f(oars)g(to)f(carry)h(t)m(w)m(o)g(p)s (eople.)44 b(Some)31 b(for-)568 3566 y(malizations)e(require)h (complete)g(rewriting)f(to)f(accomo)s(date)h(this)g(elab)s(oration.)568 3686 y(Others)g(share)g(with)g(natural)f(language)g(the)h(abilit)m(y)g (to)f(allo)m(w)h(the)g(elab)s(oration)568 3807 y(b)m(y)k(an)g(addition) f(to)h(what)g(w)m(as)g(previously)i(said.)568 3968 y(There)29 b(are)f(degrees)i(of)d(elab)s(oration)h(tolerance.)43 b(A)28 b(state)h(space)g(formalization)568 4089 y(of)42 b(the)h(missionaries)i(and)e(cannibals)h(problem)g(in)f(whic)m(h)h(a)f (state)g(is)g(repre-)568 4209 y(sen)m(ted)e(b)m(y)f(a)g(triplet)g(\()p Fe(m)f(c)h(b)p Fk(\))g(of)f(the)h(n)m(um)m(b)s(ers)h(of)e (missionaries,)k(cannibals)568 4330 y(and)22 b(b)s(oats)g(on)g(the)h (initial)f(bank)h(is)f(less)i(elab)s(oration)e(toleran)m(t)g(than)g(a)g (situation)568 4450 y(calculus)34 b(formalism)g(in)f(whic)m(h)i(the)f (set)f(of)g(ob)5 b(jects)34 b(presen)m(t)h(in)f(a)f(situation)g(is)568 4570 y(not)27 b(sp)s(eci\014ed)h(in)g(adv)-5 b(ance.)42 b(In)27 b(particular,)i(the)e(former)g(represen)m(tation)i(needs)568 4691 y(surgery)35 b(to)e(add)h(the)h(oars,)f(whereas)i(the)e(latter)g (can)g(handle)h(it)f(b)m(y)h(adjoining)568 4811 y(more)e(sen)m (tences|as)i(can)e(a)f(p)s(erson.)44 b(The)34 b(realization)f(of)f (elab)s(oration)g(toler-)568 4932 y(ance)h(requires)h(nonmonotonic)f (reasoning.)44 b(See)34 b([McC97)q(].)1918 5251 y(6)p eop end %%Page: 7 7 TeXDict begin 7 6 bop 324 548 a Fh(Rob)s(otic)37 b(F)-9 b(ree)37 b(Will)49 b Fk(Rob)s(ots)26 b(need)i(to)f(consider)g(their)h (c)m(hoices)g(and)f(decide)h(whic)m(h)568 668 y(of)k(them)h(leads)g(to) f(the)h(most)f(fa)m(v)m(orable)h(situation.)44 b(In)33 b(doing)f(this,)i(the)e(rob)s(ot)568 789 y(considers)k(a)d(system)j(in) f(whic)m(h)g(its)g(o)m(wn)f(outputs)h(are)f(regarded)h(as)f(free)g(v)-5 b(ari-)568 909 y(ables,)35 b(i.e.)49 b(it)34 b(do)s(esn't)h(consider)h (the)f(pro)s(cess)g(b)m(y)g(whic)m(h)h(it)e(is)h(deciding)g(what)568 1029 y(to)47 b(do.)87 b(The)48 b(p)s(erception)g(of)f(ha)m(ving)h(c)m (hoices)h(is)f(also)f(what)g(h)m(umans)i(con-)568 1150 y(sider)42 b(as)f Fj(fr)-5 b(e)g(e)43 b(wil)5 b(l)p Fk(.)69 b(The)42 b(matter)g(is)g(discussed)i(in)d([MH69)q(])g(and)g(is)h (roughly)568 1270 y(in)c(accordance)i(with)f(the)g(philosophical)g (attitude)g(to)m(w)m(ards)h(free)f(will)g(called)568 1391 y Fj(c)-5 b(omp)g(atibilism)p Fk(,)27 b(i.e.)42 b(the)29 b(view)g(that)f(determinism)i(and)e(free)g(will)h(are)f (compat-)568 1511 y(ible.)324 1700 y Fh(Rei\014cation)49 b Fk(T)-8 b(o)38 b(re\014fy)h(an)f(en)m(tit)m(y)h(is)g(to)f(\\mak)m(e)h (a)e(thing")h(out)g(of)g(it)g(\(from)g(Latin)568 1821 y Fj(r)-5 b(e)44 b Fk(for)37 b Fj(thing)9 b Fk(\).)56 b(F)-8 b(rom)37 b(a)g(logical)g(p)s(oin)m(t)g(of)g(view,)j(things)d (are)g(what)h(v)-5 b(ariables)568 1941 y(can)29 b(range)h(o)m(v)m(er.) 43 b(Logical)30 b(AI)f(needs)i(to)e Fj(r)-5 b(eify)30 b Fk(hop)s(es,)g(in)m(ten)m(tions)i(and)d(\\things)568 2061 y(wrong)j(with)g(the)h(b)s(oat".)42 b(Some)33 b(philosophers)h (deplore)e(rei\014cation,)h(referring)568 2182 y(to)27 b(a)g(\\bloated)g(on)m(tology",)i(but)e(AI)h(needs)h(more)f(things)g (than)f(are)h(dreamed)g(of)568 2302 y(in)h(the)h(philosophers')h (philosoph)m(y)-8 b(.)44 b(In)30 b(general,)g(rei\014cation)g(giv)m(es) h(a)e(language)568 2422 y(more)j(expressiv)m(e)j(p)s(o)m(w)m(er,)e(b)s (ecause)f(it)g(p)s(ermits)h(referring)f(to)f(en)m(tities)i(directly)568 2543 y(that)f(w)m(ere)i(previously)h(men)m(tionable)f(only)f(in)f(a)h (metalanguage.)324 2732 y Fh(On)m(tology)49 b Fk(In)42 b(philosoph)m(y)-8 b(,)47 b(on)m(tology)42 b(is)g(the)h(branc)m(h)g (that)f(studies)i(what)e(things)568 2852 y(exist.)51 b(W.V.O.)36 b(Quine's)g(view)g(is)f(that)g(the)g(on)m(tology)g(is)g (what)h(the)f(v)-5 b(ariables)568 2973 y(range)25 b(o)m(v)m(er.)42 b(On)m(tology)25 b(has)g(b)s(een)h(used)g(v)-5 b(ariously)26 b(in)f(AI,)g(but)g(I)h(think)f(Quine's)568 3093 y(usage)33 b(is)g(b)s(est)g(for)f(AI.)h(\\Rei\014cation")f(and)h(\\on)m(tology")f (treat)g(the)h(same)g(phe-)568 3214 y(nomena.)52 b(Regrettably)-8 b(,)36 b(the)g(w)m(ord)g(\\on)m(tology")f(has)g(b)s(ecome)i(p)s(opular) e(in)g(AI)568 3334 y(in)30 b(m)m(uc)m(h)h(v)-5 b(aguer)29 b(senses.)45 b(On)m(tology)30 b(and)g(rei\014cation)g(are)g(basically)h (the)f(same)568 3454 y(concept.)324 3643 y Fh(Appro)m(ximate)38 b(Concepts)49 b Fk(Common)d(sense)i(thinking)e(cannot)g(a)m(v)m(oid)g (concepts)568 3764 y(without)39 b(clear)h(de\014nitions.)64 b(Consider)41 b(the)e(w)m(elfare)h(of)f(an)g(animal.)63 b(Ov)m(er)40 b(a)568 3884 y(p)s(erio)s(d)f(of)h(min)m(utes,)j(the)d(w)m (elfare)h(is)f(fairly)g(w)m(ell)h(de\014ned,)i(but)d(asking)g(what)568 4005 y(will)29 b(b)s(ene\014t)h(a)e(newly)j(hatc)m(hed)f(c)m(hic)m(k)g (o)m(v)m(er)g(the)f(next)h(y)m(ear)g(is)f(ill)g(de\014ned.)44 b(The)568 4125 y(exact)34 b(sno)m(w,)g(ice)g(and)f(ro)s(c)m(k)h(that)f (constitutes)i(Moun)m(t)f(Ev)m(erest)h(is)f(ill)f(de\014ned.)568 4245 y(The)42 b(k)m(ey)h(fact)f(ab)s(out)f(appro)m(ximate)h(concepts)i (is)e(that)f(while)i(they)f(are)g(not)568 4366 y(w)m(ell)36 b(de\014ned,)i(sen)m(tences)g(in)m(v)m(olving)g(them)e(ma)m(y)g(b)s(e)g (quite)g(w)m(ell)h(de\014ned.)53 b(F)-8 b(or)568 4486 y(example,)31 b(the)f(prop)s(osition)g(that)f(Moun)m(t)h(Ev)m(erest)i (w)m(as)e(\014rst)g(clim)m(b)s(ed)h(in)f(1953)568 4607 y(is)24 b(de\014nite,)j(and)e(its)f(de\014niteness)j(is)e(not)f (compromised)h(b)m(y)g(the)g(ill-de\014nedness)568 4727 y(of)32 b(the)h(exact)g(b)s(oundaries)h(of)e(the)h(moun)m(tain.)44 b(See)33 b([McC99c)r(].)568 4882 y(There)g(are)g(t)m(w)m(o)g(w)m(a)m (ys)i(of)d(regarding)g(appro)m(ximate)i(concepts.)45 b(The)34 b(\014rst)f(is)g(to)568 5002 y(supp)s(ose)j(that)g(there)g(is) g(a)f(precise)i(concept,)g(but)f(it)g(is)g(incompletely)h(kno)m(wn.) 1918 5251 y(7)p eop end %%Page: 8 8 TeXDict begin 8 7 bop 568 548 a Fk(Th)m(us)37 b(w)m(e)g(ma)m(y)g(supp)s (ose)g(that)e(there)i(is)f(a)g(truth)g(of)f(the)h(matter)h(as)f(to)f (whic)m(h)568 668 y(ro)s(c)m(ks)h(and)g(ice)g(constitute)h(Moun)m(t)f (Ev)m(erest.)55 b(If)35 b(this)h(approac)m(h)g(is)g(tak)m(en,)i(w)m(e) 568 789 y(simply)30 b(need)f(w)m(eak)h(axioms)f(telling)g(what)g(w)m(e) g(do)f(kno)m(w)i(but)f(not)f(de\014ning)h(the)568 909 y(concept)k(completely)-8 b(.)568 1066 y(The)34 b(second)h(approac)m(h) f(is)g(to)f(regard)g(the)h(concept)g(as)g(in)m(trinsically)h(appro)m (xi-)568 1187 y(mate.)43 b(There)32 b(is)g(no)f(truth)h(of)e(the)i (matter.)43 b(One)32 b(practical)f(di\013erence)i(is)f(that)568 1307 y(w)m(e)26 b(w)m(ould)g(not)f(exp)s(ect)i(t)m(w)m(o)f(geographers) g(indep)s(enden)m(tly)i(researc)m(hing)f(Moun)m(t)568 1428 y(Ev)m(erest)k(to)d(de\014ne)i(the)f(same)h(b)s(oundary)-8 b(.)43 b(They)30 b(w)m(ould)g(ha)m(v)m(e)g(to)e(in)m(teract,)j(b)s(e-) 568 1548 y(cause)i(the)g(b)s(oundaries)h(of)e(Moun)m(t)h(Ev)m(erest)i (are)d(y)m(et)i(to)e(b)s(e)h(de\014ned.)3173 1512 y Fi(3)324 1742 y Fh(Appro)m(ximate)38 b(Theories)49 b Fk(An)m(y)34 b(theory)f(in)m(v)m(olving)h(appro)m(ximate)f(concepts)h(is)f(an)568 1863 y(appro)m(ximate)j(theory)-8 b(.)54 b(W)-8 b(e)36 b(can)g(ha)m(v)m(e)g(a)g(theory)g(of)f(the)h(w)m(elfare)h(of)e(c)m(hic) m(k)m(ens.)568 1983 y(Ho)m(w)m(ev)m(er,)g(its)f(notions)f(don't)g(mak)m (e)i(sense)g(if)d(pushed)j(to)s(o)d(far.)45 b(F)-8 b(or)32 b(example,)568 2103 y(animal)k(righ)m(ts)i(p)s(eople)f(assign)g(some)g (righ)m(ts)h(to)e(c)m(hic)m(k)m(ens)k(but)d(cannot)f(de\014ne)568 2224 y(them)45 b(precisely)-8 b(.)82 b(It)45 b(is)g(not)f(presen)m(tly) j(apparen)m(t)e(whether)h(the)f(expression)568 2344 y(of)32 b(appro)m(ximate)i(theories)g(in)f(mathematical)g(logical)g(languages)g (will)g(require)568 2465 y(an)m(y)g(inno)m(v)-5 b(ations)33 b(in)g(mathematical)h(logic.)43 b(See)33 b([McC99c)r(].)324 2659 y Fh(Am)m(biguit)m(y)38 b(T)-9 b(olerance)49 b Fk(Assertions)29 b(often)f(turn)g(out)g(to)f(b)s(e)h(am)m(biguous)h(with)f(the)568 2779 y(am)m(biguit)m(y)46 b(only)g(b)s(eing)f(disco)m(v)m(ered)j(man)m (y)e(y)m(ears)h(after)e(the)g(assertion)i(w)m(as)568 2900 y(en)m(unciated.)h(F)-8 b(or)33 b(example,)j(it)d(is)h Fj(a)i(priori)43 b Fk(am)m(biguous)35 b(whether)g(the)f(phrase)568 3020 y(\\conspiring)28 b(to)f(assault)h(a)f(F)-8 b(ederal)27 b(o\016cial")g(co)m(v)m(ers)j(the)d(case)h(when)h(the)e(crim-)568 3140 y(inals)35 b(mistak)m(enly)i(b)s(eliev)m(e)f(their)f(in)m(tended)i (victim)e(is)g(a)g(F)-8 b(ederal)34 b(o\016cial.)50 b(An)568 3261 y(am)m(biguit)m(y)37 b(in)f(a)f(la)m(w)h(do)s(es)h(not)e(in)m(v)-5 b(alidate)37 b(it)e(in)h(the)h(cases)g(where)g(it)e(can)h(b)s(e)568 3381 y(considered)43 b(unam)m(biguous.)72 b(Ev)m(en)43 b(where)g(it)f(is)g(formally)g(am)m(biguous,)j(it)c(is)568 3502 y(sub)5 b(ject)39 b(to)e(judicial)i(in)m(terpretation.)59 b(AI)38 b(systems)i(will)f(also)f(require)h(means)568 3622 y(of)23 b(isolating)h(am)m(biguities)h(and)f(also)g(con)m (tradictions.)42 b(The)25 b(default)f(rule)g(is)h(that)568 3742 y(the)39 b(concept)i(is)f(not)f(am)m(biguous)h(in)g(the)g (particular)f(case.)65 b(The)41 b(am)m(biguous)568 3863 y(theories)33 b(are)g(a)f(kind)i(of)e(appro)m(ximate)h(theory)-8 b(.)324 4057 y Fh(Causal)39 b(Reasoning)50 b Fk(A)45 b(ma)5 b(jor)45 b(concern)h(of)e(logical)h(AI)g(has)h(b)s(een)f (treating)g(the)568 4177 y(consequences)31 b(of)c(actions)h(and)g (other)g(ev)m(en)m(ts.)44 b(The)29 b Fj(epistemolo)-5 b(gic)g(al)36 b Fk(problem)568 4298 y(concerns)30 b(what)f(can)h(b)s(e) f(kno)m(wn)h(ab)s(out)e(the)i(la)m(ws)g(that)e(determine)j(the)e (results)568 4418 y(of)j(ev)m(en)m(ts.)46 b(A)32 b(theory)h(of)g (causalit)m(y)h(is)f(prett)m(y)g(sure)h(to)e(b)s(e)h(appro)m(ximate.) 324 4612 y Fh(Situation)38 b(Calculus)50 b Fk(Situation)44 b(calculus)i(is)e(the)h(most)f(studied)i(formalism)e(for)568 4733 y(doing)c(causal)h(reasoning.)68 b(A)40 b(situation)h(is)g(in)g (principle)h(a)e(snapshot)h(of)f(the)p 324 4811 1296 4 v 436 4872 a Fg(3)473 4902 y Ff(Regarding)30 b(a)h(concept)g(as)g(in) n(trinsically)g(appro)n(ximate)e(is)j(distinct)g(from)f(either)g (regarding)e(it)324 5002 y(as)e(fully)h(de\014ned)g(b)n(y)f(nature)g (or)g(fully)h(de\014ned)g(b)n(y)f(h)n(uman)h(con)n(v)n(en)n(tion.)1918 5251 y Fk(8)p eop end %%Page: 9 9 TeXDict begin 9 8 bop 568 548 a Fk(w)m(orld)44 b(at)g(an)g(instan)m(t.) 79 b(One)45 b(nev)m(er)g(kno)m(ws)h(a)e(situation|one)g(only)h(kno)m (ws)568 668 y(facts)29 b(ab)s(out)g(a)f(situation.)43 b(Ev)m(en)m(ts)31 b(o)s(ccur)f(in)f(situations)h(and)f(giv)m(e)h(rise)g (to)f(new)568 789 y(situations.)78 b(There)45 b(are)f(man)m(y)h(v)-5 b(arian)m(ts)44 b(of)g(situation)g(calculus,)k(and)c(none)568 909 y(of)35 b(them)i(has)f(come)g(to)g(dominate.)53 b([MH69)q(])35 b(in)m(tro)s(duces)j(situation)e(calculus.)568 1029 y([GLR91)o(])c(is)h (a)g(1991)e(discussion.)324 1233 y Fh(Fluen)m(ts)50 b Fk(F)-8 b(unctions)36 b(of)g(situations)h(in)g(situation)f(calculus.)56 b(The)37 b(simplest)h(\015uen)m(ts)568 1353 y(are)j Fj(pr)-5 b(op)g(ositional)51 b Fk(and)41 b(ha)m(v)m(e)i(truth)f(v)-5 b(alues.)71 b(There)43 b(are)e(also)h(\015uen)m(ts)h(with)568 1474 y(v)-5 b(alues)39 b(in)g(n)m(umerical)h(or)e(sym)m(b)s(olic)i (domains.)61 b Fj(Situational)40 b(\015uents)47 b Fk(tak)m(e)40 b(on)568 1594 y(situations)33 b(as)g(v)-5 b(alues.)324 1797 y Fh(F)c(rame)38 b(Problem)49 b Fk(This)32 b(is)e(the)h(problem)g (of)f(ho)m(w)h(to)f(express)i(the)f(facts)f(ab)s(out)g(the)568 1918 y(e\013ects)e(of)f(actions)g(and)g(other)h(ev)m(en)m(ts)h(in)e (suc)m(h)i(a)e(w)m(a)m(y)h(that)f(it)g(is)g(not)g(necessary)568 2038 y(to)f(explicitly)j(state)e(for)f(ev)m(ery)i(ev)m(en)m(t,)i(the)d (\015uen)m(ts)h(it)e(do)s(es)h(not)g(a\013ect.)42 b(Murra)m(y)568 2159 y(Shanahan)32 b([Sha97])h(has)g(an)f(extensiv)m(e)k(discussion.) 324 2362 y Fh(Quali\014cation)j(Problem)49 b Fk(This)26 b(concerns)g(ho)m(w)g(to)e(express)j(the)e(preconditions)h(for)568 2482 y(actions)39 b(and)g(other)g(ev)m(en)m(ts.)65 b(That)39 b(it)g(is)g(necessary)j(to)c(ha)m(v)m(e)i(a)f(tic)m(k)m(et)h(to)f (\015y)568 2603 y(on)29 b(a)g(commercial)i(airplane)f(is)g(rather)f (unproblematical)i(to)e(express.)45 b(That)30 b(it)568 2723 y(is)k(necessary)i(to)d(b)s(e)h(w)m(earing)g(clothes)h(needs)g(to) e(b)s(e)h(k)m(ept)h(inexplicit)g(unless)h(it)568 2844 y(someho)m(w)e(comes)g(up.)324 3047 y Fh(Rami\014cation)k(Problem)49 b Fk(Ev)m(en)m(ts)37 b(often)e(ha)m(v)m(e)h(other)e(e\013ects)i(than)f (those)g(w)m(e)h(are)568 3167 y(immediately)25 b(inclined)f(to)f(put)g (in)g(the)h(axioms)g(concerned)g(with)g(the)f(particular)568 3288 y(kind)33 b(of)f(ev)m(en)m(t.)324 3491 y Fh(Pro)6 b(jection)48 b Fk(Giv)m(en)34 b(information)e(ab)s(out)g(a)h (situation,)g(and)f(axioms)i(ab)s(out)e(the)h(ef-)568 3611 y(fects)25 b(of)e(actions)i(and)f(other)g(ev)m(en)m(ts,)k(the)d (pro)5 b(jection)25 b(problem)g(is)f(to)g(determine)568 3732 y(facts)44 b(ab)s(out)f(future)i(situations.)78 b(It)44 b(is)h(assumed)g(that)f(no)g(facts)g(are)g(a)m(v)-5 b(ail-)568 3852 y(able)33 b(ab)s(out)g(future)h(situations)h(other)e (than)h(what)f(can)h(b)s(e)g(inferred)g(from)f(the)568 3973 y(\\kno)m(wn)d(la)m(ws)g(of)e(motion")h(and)g(what)g(is)h(kno)m (wn)g(ab)s(out)e(the)i(initial)f(situation.)568 4093 y(Query:)58 b(ho)m(w)40 b(do)s(es)g(one)g(tell)g(a)g(reasoning)g (system)h(that)f(the)g(facts)g(are)f(suc)m(h)568 4213 y(that)32 b(it)h(should)g(rely)g(on)g(pro)5 b(jection)33 b(for)f(information)h(ab)s(out)f(the)h(future.)324 4417 y Fh(Planning)50 b Fk(The)35 b(largest)f(single)h(domain)f(for)f (logical)h(AI)g(has)h(b)s(een)f(planning,)h(usu-)568 4537 y(ally)h(the)g(restricted)h(problem)f(of)f(\014nding)i(a)e (\014nite)h(sequence)j(of)c(actions)h(that)568 4658 y(will)24 b(ac)m(hiev)m(e)h(a)f(goal.)39 b([Gre69a])23 b(is)h(the)g(\014rst)g (pap)s(er)f(to)g(use)i(a)e(theorem)h(pro)m(v)m(er)h(to)568 4778 y(do)32 b(planning.)44 b(Planning)33 b(is)g(somewhat)h(the)f(in)m (v)m(erse)i(problem)f(to)e(pro)5 b(jection.)1918 5251 y(9)p eop end %%Page: 10 10 TeXDict begin 10 9 bop 324 548 a Fh(Narrativ)m(e)49 b Fk(A)e(narrativ)m(e)h(tells)g(what)g(happ)s(ened,)k(but)c(an)m(y)g (narrativ)m(e)g(can)f(only)568 668 y(tell)39 b(a)f(certain)i(amoun)m (t.)62 b(What)39 b(narrativ)m(es)h(can)f(tell,)i(ho)m(w)e(to)g(express) i(that)568 789 y(logically)-8 b(,)30 b(and)g(ho)m(w)g(to)g(elab)s (orate)f(narrativ)m(es)i(is)f(giv)m(en)h(a)f(preliminary)h(logical)568 909 y(treatmen)m(t)j(in)g([McC95b)q(])f(and)g(more)h(fully)g(in)g ([MC98].)46 b([PR93])33 b(and)h([RM94])568 1029 y(are)26 b(relev)-5 b(an)m(t)27 b(here.)42 b(A)26 b(narrativ)m(e)h(will)f (usually)h(giv)m(e)g(facts)g(ab)s(out)e(the)i(future)f(of)568 1150 y(a)31 b(situation)h(that)f(are)g(not)g(just)h(consequences)j(of)c (pro)5 b(jection)32 b(from)f(an)g(initial)568 1270 y(situation.)41 b([While)25 b(w)m(e)g(ma)m(y)f(supp)s(ose)h(that)f(the)g(future)h(is)f (en)m(tirely)i(determined)568 1391 y(b)m(y)34 b(the)g(initial)g (situation,)g(our)f(kno)m(wledge)j(do)s(esn't)e(p)s(ermit)g(inferring)g (all)f(the)568 1511 y(facts)d(ab)s(out)g(it)g(b)m(y)i(pro)5 b(jection.)43 b(Therefore,)32 b(narrativ)m(es)g(giv)m(e)f(facts)f(ab)s (out)g(the)568 1631 y(future)j(b)s(ey)m(ond)g(what)g(follo)m(ws)g(b)m (y)h(pro)5 b(jection.])324 1835 y Fh(Understanding)50 b Fk(A)37 b(rather)g(demanding)h(notion)f(is)h(most)f(useful.)58 b(In)37 b(particular,)568 1955 y(\014sh)29 b(do)f(not)g(understand)h (swimming,)i(b)s(ecause)e(they)g(can't)g(use)g(kno)m(wledge)h(to)568 2076 y(impro)m(v)m(e)j(their)f(swimming,)i(to)d(wish)i(for)e(b)s(etter) h(\014ns,)h(or)e(to)g(teac)m(h)i(other)f(\014sh.)568 2196 y(See)43 b(the)g(section)g(on)f(understanding)i(in)f([McC96a].)73 b(Ma)m(yb)s(e)44 b(\014sh)f(do)f(learn)568 2316 y(to)35 b(impro)m(v)m(e)i(their)f(swimming,)i(but)d(this)h(presumably)i (consists)f(primarily)f(of)568 2437 y(the)g(adjustmen)m(t)h(of)e (parameters)h(and)g(isn't)g(usefully)i(called)e(understanding.)568 2557 y(I)f(w)m(ould)h(apply)f(understanding)i(only)e(to)g(some)h (systems)h(that)e(can)h(do)e(h)m(yp)s(o-)568 2677 y(thetical)d (reasoning|if)g Fe(p)g Fk(w)m(ere)h(true,)g(then)f Fe(q)k Fk(w)m(ould)d(b)s(e)f(true.)43 b(Th)m(us)33 b(F)-8 b(ortran)568 2798 y(compilers)34 b(don't)e(understand)i(F)-8 b(ortran.)324 3001 y Fh(Consciousness,)39 b(a)m(w)m(areness)g(and)f(in)m(trosp)s (ection)49 b Fk(Human)40 b(lev)m(el)h(AI)e(systems)568 3122 y(will)26 b(require)g(these)h(qualities)f(in)g(order)f(to)g(do)g (tasks)i(w)m(e)f(assign)g(them.)42 b(In)25 b(order)568 3242 y(to)32 b(decide)j(ho)m(w)e(w)m(ell)h(it)f(is)g(doing,)g(a)g(rob)s (ot)f(will)i(need)g(to)e(b)s(e)h(able)h(to)e(examine)568 3362 y(its)h(goal)f(structure)i(and)f(the)h(structure)g(of)e(its)i(b)s (eliefs)g(from)e(the)h Fj(outside)p Fk(.)45 b(See)568 3483 y([McC96a].)324 3686 y Fh(In)m(ten)m(tion)37 b(to)g(do)h (something)49 b Fk(In)m(ten)m(tions)40 b(as)e(ob)5 b(jects)39 b(are)e(discussed)k(brie\015y)d(in)568 3807 y([McC89)q(])32 b(and)h([McC96a].)324 4010 y Fh(Men)m(tal)38 b(situation)g(calculus)50 b Fk(The)43 b(idea)f(is)g(that)g(there)g(are)g(men)m(tal)h(situations,) 568 4130 y(men)m(tal)50 b(\015uen)m(ts)g(and)g(men)m(tal)g(ev)m(en)m (ts)h(that)e(giv)m(e)h(rise)g(to)f(new)h(men)m(tal)g(sit-)568 4251 y(uations.)79 b(The)46 b(men)m(tal)f(ev)m(en)m(ts)i(include)f (observ)-5 b(ations)45 b(and)g(inferences)h(but)568 4371 y(also)f(the)h(results)h(of)e(observing)h(the)g(men)m(tal)g(situation)g (up)g(to)f(the)g(curren)m(t)568 4491 y(time.)h(This)34 b(allo)m(ws)h(dra)m(wing)e(the)h(conclusion)h(that)e(there)h(isn't)g(y) m(et)g(informa-)568 4612 y(tion)28 b(needed)i(to)e(solv)m(e)i(a)e (certain)h(problem,)h(and)e(therefore)h(more)g(information)568 4732 y(m)m(ust)37 b(b)s(e)e(sough)m(t)i(outside)g(the)f(rob)s(ot)f(or)g (organism.)53 b([SL93])36 b(treats)g(this)g(and)568 4853 y(so)c(do)s(es)h([McC96a)q(].)1894 5251 y(10)p eop end %%Page: 11 11 TeXDict begin 11 10 bop 324 548 a Fh(Discrete)37 b(pro)s(cesses)50 b Fk(Causal)27 b(reasoning)g(is)h(simplest)g(when)g(applied)g(to)f(pro) s(cesses)568 668 y(in)39 b(whic)m(h)i(discrete)f(ev)m(en)m(ts)i(o)s (ccur)d(and)g(ha)m(v)m(e)i(de\014nite)f(results.)65 b(In)39 b(situation)568 789 y(calculus,)e(the)f(form)m(ulas)g Fe(s)1583 753 y Fc(0)1639 789 y Fk(=)c Fe(r)s(esul)r(t)p Fk(\()p Fe(e;)17 b(s)p Fk(\))35 b(giv)m(es)h(the)g(new)h(situation)e Fe(s)3324 753 y Fc(0)3383 789 y Fk(that)568 909 y(results)j(when)f(the) g(ev)m(en)m(t)i Fe(e)e Fk(o)s(ccurs)g(in)g(situation)g Fe(s)p Fk(.)55 b(Man)m(y)38 b(con)m(tin)m(uous)g(pro-)568 1029 y(cesses)49 b(that)f(o)s(ccur)f(in)h(h)m(uman)g(or)f(rob)s(ot)g (activit)m(y)i(can)e(ha)m(v)m(e)i Fj(appr)-5 b(oximate)568 1150 y(the)g(ories)40 b Fk(that)32 b(are)h(discrete.)324 1350 y Fh(Con)m(tin)m(uous)38 b(Pro)s(cesses)49 b Fk(Humans)23 b(appro)m(ximate)f(con)m(tin)m(uous)i(pro)s(cesses)g(with)e(rep-)568 1471 y(resen)m(tations)29 b(that)f(are)f(as)h(discrete)h(as)f(p)s (ossible.)44 b(F)-8 b(or)26 b(example,)31 b(\\Junior)c(read)568 1591 y(a)38 b(b)s(o)s(ok)h(while)h(on)f(the)h(airplane)f(from)g(Glasgo) m(w)g(to)g(London.")63 b(Con)m(tin)m(uous)568 1712 y(pro)s(cesses)34 b(can)f(b)s(e)g(treated)g(in)g(the)g(situation)h(calculus,)g(but)f(the) g(theory)g(is)g(so)568 1832 y(far)j(less)i(successful)i(than)c(in)h (discrete)i(cases.)58 b(W)-8 b(e)37 b(also)g(sometimes)h(appro)m(xi-) 568 1952 y(mate)e(discrete)i(pro)s(cesses)h(b)m(y)e(con)m(tin)m(uous)h (ones.)55 b([Mil96)q(])36 b(and)g([Rei96])h(treat)568 2073 y(this)c(problem.)324 2273 y Fh(Non-deterministic)38 b(ev)m(en)m(ts)49 b Fk(Situation)28 b(calculus)h(and)e(other)h(causal)g (formalisms)568 2394 y(are)40 b(harder)g(to)g(use)i(when)f(the)g (e\013ects)g(of)f(an)g(action)g(are)g(inde\014nite.)68 b(Often)568 2514 y Fe(r)s(esul)r(t)p Fk(\()p Fe(e;)17 b(s)p Fk(\))k(is)i(not)f(usefully)h(axiomatizable)g(and)g(something)g (lik)m(e)g Fe(occur)s(s)p Fk(\()p Fe(e;)17 b(s)p Fk(\))568 2635 y(m)m(ust)33 b(b)s(e)g(used.)324 2835 y Fh(Concurrren)m(t)k(Ev)m (en)m(ts)48 b Fk(F)-8 b(ormalisms)43 b(treating)e(actions)i(and)e (other)h(ev)m(en)m(ts)i(m)m(ust)568 2956 y(allo)m(w)36 b(for)f(an)m(y)i(lev)m(el)h(of)d(dep)s(endence)j(b)s(et)m(w)m(een)h(ev) m(en)m(ts.)55 b(Complete)38 b(indep)s(en-)568 3076 y(dence)c(is)f(a)f (limiting)h(case)h(and)e(is)h(treated)g(in)g([McC95b)q(].)324 3277 y Fh(Conjunctivit)m(y)49 b Fk(It)36 b(often)f(happ)s(ens)h(that)g (t)m(w)m(o)g(phenomena)h(are)e(indep)s(enden)m(t.)54 b(In)568 3397 y(that)39 b(case,)k(w)m(e)d(ma)m(y)h(form)e(a)h (description)h(of)e(their)h(com)m(bination)h(b)m(y)f(taking)568 3517 y(the)h(conjunction)h(of)f(the)h(descriptions)h(of)e(the)h (separate)g(phenomena.)71 b(The)568 3638 y(description)45 b(language)e(satis\014es)i Fj(c)-5 b(onjunctivity)52 b Fk(if)44 b(the)f(conclusions)j(w)m(e)e(can)568 3758 y(dra)m(w)37 b(ab)s(out)e(one)i(of)f(the)g(phenomena)i(from)e(the)h (com)m(bined)h(description)g(are)568 3879 y(the)25 b(same)h(as)g(the)f (conjunctions)i(w)m(e)f(could)g(dra)m(w)f(from)g(the)h(single)g (description.)568 3999 y(F)-8 b(or)40 b(example,)45 b(w)m(e)d(ma)m(y)g (ha)m(v)m(e)g(separate)g(descriptions)h(of)e(the)g(assassination)568 4119 y(of)48 b(Abraham)g(Lincoln)h(and)g(of)f(Mendel's)i(con)m(temp)s (oraneous)g(exp)s(erimen)m(ts)568 4240 y(with)41 b(p)s(eas.)67 b(What)40 b(w)m(e)i(can)e(infer)h(ab)s(out)f(Mendel's)i(exp)s(erimen)m (ts)h(from)d(the)568 4360 y(conjunction)e(should)h(ordinarily)f(b)s(e)f (the)h(same)h(as)f(what)f(w)m(e)i(can)f(infer)g(from)568 4480 y(just)47 b(the)h(description)h(of)e(Mendel's)j(exp)s(erimen)m (ts.)90 b(Man)m(y)49 b(formalisms)f(for)568 4601 y(concurren)m(t)40 b(ev)m(en)m(ts)i(don't)d(ha)m(v)m(e)i(this)e(prop)s(ert)m(y)-8 b(,)42 b(but)d Fj(c)-5 b(onjunctivity)48 b Fk(itself)40 b(is)568 4721 y(applicable)33 b(to)g(more)f(than)h(concurren)m(t)h(ev)m (en)m(ts.)568 4882 y(T)-8 b(o)22 b(use)i(logician's)f(language,)i(the)e (conjunction)g(of)f(the)h(t)m(w)m(o)g(theories)h(should)f(b)s(e)568 5002 y(a)h(conserv)-5 b(ativ)m(e)27 b(extension)g(of)d(eac)m(h)i(of)e (the)i(theories.)42 b(Actually)-8 b(,)27 b(w)m(e)f(ma)m(y)f(settle)1894 5251 y(11)p eop end %%Page: 12 12 TeXDict begin 12 11 bop 568 548 a Fk(for)25 b(less.)42 b(W)-8 b(e)26 b(only)g(require)h(that)e(the)h(inferrable)g(sen)m (tences)j(ab)s(out)c(Mendel)i(\(or)568 668 y(ab)s(out)k(Lincoln\))i(in) f(the)h(conjunction)f(are)h(the)f(same.)44 b(The)33 b(com)m(bined)h (theory)568 789 y(ma)m(y)44 b(admit)f(inferring)h(other)f(sen)m(tences) j(in)e(the)f(language)g(of)g(the)h(separate)568 909 y(theory)33 b(that)f(w)m(eren't)i(inferrable)g(in)e(the)h(separate)h(theories.)324 1112 y Fh(Learning)50 b Fk(Making)36 b(computers)h(learn)f(presen)m(ts) i(t)m(w)m(o)f(problems|)p Fj(epistemolo)-5 b(gic)g(al)568 1233 y Fk(and)41 b Fj(heuristic)p Fk(.)70 b(The)42 b(epistemological)h (problem)f(is)f(to)g(de\014ne)i(the)f(space)g(of)568 1353 y(concepts)47 b(that)f(the)g(program)f(can)h(learn.)83 b(The)47 b(heuristic)g(problem)g(is)f(the)568 1474 y(actual)i(learning) h(algorithm.)91 b(The)49 b(heuristic)h(problem)f(of)f(algorithms)h(for) 568 1594 y(learning)24 b(has)g(b)s(een)g(m)m(uc)m(h)h(studied)g(and)f (the)g(epistemological)h(mostly)f(ignored.)568 1714 y(The)30 b(designer)h(of)e(the)g(learning)h(system)i(mak)m(es)f(the)e(program)g (op)s(erate)h(with)g(a)568 1835 y(\014xed)36 b(and)g(limited)g(set)h (of)e(concepts.)53 b(Learning)36 b(programs)g(will)g(nev)m(er)h(reac)m (h)568 1955 y(h)m(uman)29 b(lev)m(el)i(of)d(generalit)m(y)i(as)e(long)h (as)g(this)g(approac)m(h)g(is)g(follo)m(w)m(ed.)44 b([McC59)q(])568 2076 y(sa)m(ys,)31 b Fh(\\A)h(computer)h(can't)g(learn)g(what)g(it)g (can't)g(b)s(e)g(told.")42 b Fk(W)-8 b(e)29 b(migh)m(t)568 2196 y(correct)49 b(this,)54 b(as)49 b(suggested)h(b)m(y)g(Murra)m(y)f (Shanahan,)54 b(to)48 b(sa)m(y)i(that)f(it)f(can)568 2316 y(only)c(learn)g(what)g(can)g(b)s(e)g(expressed)j(in)d(the)g (language)f(w)m(e)i(equip)g(it)f(with.)568 2437 y(T)-8 b(o)41 b(learn)h(man)m(y)g(imp)s(ortan)m(t)g(concepts,)j(it)d(m)m(ust)h (ha)m(v)m(e)f(more)g(than)g(a)f(set)h(of)568 2557 y(w)m(eigh)m(ts.)i ([MR94])31 b(and)g([BM95])g(presen)m(t)i(some)f(progress)g(on)e (learning)i(within)568 2677 y(a)41 b(logical)h(language.)71 b(The)43 b(man)m(y)g(kinds)g(of)f(learning)g(discussed)i(in)e([Mit97)q (])568 2798 y(are)j(all,)k(with)c(the)h(p)s(ossible)h(exception)g(of)e (inductiv)m(e)i(logic)f(programming,)568 2918 y(v)m(ery)d(limited)f(in) g(what)g(they)g(can)g(represen)m(t|and)h(hence)g(can)f(conceiv)-5 b(ably)568 3039 y(learn.)41 b([McC99a)q(])26 b(presen)m(ts)j(a)c(c)m (hallenge)j(to)e(mac)m(hine)h(learning)g(problems)g(and)568 3159 y(disco)m(v)m(ery)h(programs)d(to)g(learn)h(or)f(disco)m(v)m(ery)j (the)e(realit)m(y)h(b)s(ehind)f(app)s(earance.)324 3362 y Fh(App)s(earance)39 b(and)f(Realit)m(y)49 b Fk(One)41 b(c)m(haracteristic)h(of)e(the)h(common)g(sense)h(infor-)568 3483 y(matic)25 b(situation)g(is)h(that)f(realit)m(y)h(has)f(to)g(b)s (e)g(inferred)h(from)e(app)s(earance.)42 b(Th)m(us)568 3603 y(ob)5 b(jects)35 b(fall;)f(app)s(earances)h(of)e(ob)5 b(jects)35 b(don't)f(fall.)47 b(The)35 b(existence)h(of)d(an)h(ob-)568 3724 y(ject)47 b(lik)m(ely)h(to)e(fall)g(has)h(to)g(b)s(e)f(inferred)i (from)e(app)s(earance|whether)i(this)568 3844 y(app)s(earance)g(b)s(e)f (visual,)52 b(auditory)c(or)f(touc)m(h.)88 b([McC99a)q(])47 b(presen)m(ts)j(a)d(ma-)568 3964 y(nipulable)37 b(applet)f(asking)h (the)g(reader)f(to)g(determine)h(the)g(realit)m(y)g(b)s(ehind)g(an)568 4085 y(app)s(earance)c(consisting)h(of)e(a)g(circle)i(of)e(13)g (letters.)324 4288 y Fh(Represen)m(tation)38 b(of)f(Ph)m(ysical)h(Ob)6 b(jects)50 b Fk(W)-8 b(e)36 b(aren't)f(close)i(to)e(ha)m(ving)i(an)e (epis-)568 4408 y(temologically)j(adequate)h(language)f(for)f(this.)59 b(What)38 b(do)g(I)f(kno)m(w)i(ab)s(out)f(m)m(y)568 4529 y(p)s(o)s(c)m(k)m(et)e(knife)g(that)f(p)s(ermits)h(me)g(to)f(recognize) h(it)f(in)h(m)m(y)g(p)s(o)s(c)m(k)m(et)g(or)f(b)m(y)h(sigh)m(t)568 4649 y(or)c(to)g(op)s(en)h(its)f(blades)i(b)m(y)f(feel)g(or)f(b)m(y)i (feel)f(and)f(sigh)m(t?)44 b(What)33 b(can)g(I)f(tell)h(oth-)568 4770 y(ers)38 b(ab)s(out)f(that)h(knife)g(that)f(will)i(let)f(them)g (recognize)h(it)e(b)m(y)i(feel,)h(and)d(what)568 4890 y(information)32 b(m)m(ust)i(a)e(rob)s(ot)g(ha)m(v)m(e)i(in)f(order)f (to)h(pic)m(k)g(m)m(y)h(p)s(o)s(c)m(k)m(et)g(of)e(it?)1894 5251 y(12)p eop end %%Page: 13 13 TeXDict begin 13 12 bop 324 548 a Fh(Represen)m(tation)38 b(of)f(Space)i(and)f(Shap)s(e)50 b Fk(W)-8 b(e)40 b(again)f(ha)m(v)m(e) i(the)f(problem)g(of)f(an)568 668 y(epistemologically)28 b(adequate)g(represen)m(tation.)43 b(T)-8 b(rying)27 b(to)f(matc)m(h)h(what)g(a)f(h)m(u-)568 789 y(man)40 b(can)h(remem)m(b)s(er)h(and)e(reason)h(ab)s(out)f(when)h(out)f(of)g (sigh)m(t)h(of)f(the)h(scene)568 909 y(is)c(more)g(what)g(w)m(e)h(need) g(than)f(some)g(pixel)h(b)m(y)g(pixel)g(represen)m(tation.)58 b(Some)568 1029 y(problems)41 b(of)f(this)h(are)f(discussed)j(in)d ([McC95a)q(])g(whic)m(h)i(concerns)g(the)f(Lem-)568 1150 y(mings)f(computer)g(games.)65 b(One)40 b(can)g(think)g(ab)s(out)f(a)g (particular)h(game)f(and)568 1270 y(decide)24 b(ho)m(w)g(to)f(solv)m(e) i(it)e(a)m(w)m(a)m(y)h(from)f(the)h(displa)m(y)g(of)f(the)h(p)s (osition,)h(and)e(this)h(ob-)568 1391 y(viously)32 b(requires)h(a)e (compact)g(represen)m(tation)i(of)e(partial)f(information)h(ab)s(out) 568 1511 y(a)h(scene.)324 1714 y Fh(Discrimination,)39 b(Recognition)e(and)h(Description)49 b Fj(Discrimination)28 b Fk(is)22 b(the)g(de-)568 1835 y(ciding)32 b(whic)m(h)i(category)f(a)e (stim)m(ulus)k(b)s(elongs)d(to)g(among)g(a)g(\014xed)h(set)g(of)f (cate-)568 1955 y(gories,)e(e.g.)43 b(decide)31 b(whic)m(h)g(letter)f (of)f(the)h(alphab)s(et)g(is)g(depicted)h(in)f(an)f(image.)568 2076 y Fj(R)-5 b(e)g(c)g(o)g(gnition)41 b Fk(in)m(v)m(olv)m(es)d (deciding)e(whether)h(a)e(stim)m(ulus)i(b)s(elongs)e(to)g(the)h(same) 568 2196 y(set,)d(i.e.)44 b(represen)m(ts)34 b(the)f(same)g(ob)5 b(ject,)33 b(e.g.)43 b(a)32 b(p)s(erson,)h(as)f(a)g(previously)i(seen) 568 2316 y(stim)m(ulus.)45 b Fj(Description)39 b Fk(in)m(v)m(olv)m(es)c (describing)f(an)e(ob)5 b(ject)33 b(in)f(detail)h(appropri-)568 2437 y(ate)e(to)f(p)s(erforming)h(some)h(action)f(with)h(it,)f(e.g.)43 b(pic)m(king)32 b(it)f(up)h(b)m(y)f(the)h(handle)568 2557 y(or)40 b(some)h(other)f(designated)i(part.)66 b(Description)41 b(is)g(the)g(most)g(am)m(bitious)g(of)568 2677 y(these)33 b(op)s(erations)g(and)g(has)g(b)s(een)g(the)g(forte)g(of)f(logic-based) h(approac)m(hes.)324 2881 y Fh(Logical)38 b(Rob)s(ot)49 b Fk([McC59])31 b(prop)s(osed)g(that)g(a)f(rob)s(ot)g(b)s(e)h(con)m (trolled)h(b)m(y)g(a)e(program)568 3001 y(that)25 b(infers)h(logically) f(that)g(a)g(certain)h(action)f(will)h(adv)-5 b(ance)26 b(its)g(goals)f(and)g(then)568 3122 y(do)s(es)30 b(that)f(action.)43 b(This)31 b(approac)m(h)f(w)m(as)g(implemen)m(ted)i(in)e([Gre69b],)g (but)g(the)568 3242 y(program)f(w)m(as)i(v)m(ery)g(slo)m(w.)44 b(Shortly)30 b(greater)g(sp)s(eed)h(w)m(as)g(obtained)f(in)g(systems) 568 3362 y(lik)m(e)43 b(STRIPS)g(at)e(the)h(cost)g(of)g(limiting)g(the) g(generalit)m(y)h(of)e(facts)h(the)g(rob)s(ot)568 3483 y(tak)m(es)33 b(in)m(to)g(accoun)m(t.)45 b(See)33 b([Nil84],)g([LRL) 2147 3447 y Fi(+)2206 3483 y Fk(97)o(],)g(and)g([Sha96)o(].)324 3686 y Fh(Declarativ)m(e)38 b(Expression)g(of)g(Heuristics)48 b Fk([McC59)q(])22 b(prop)s(oses)g(reasoning)h(b)s(e)f(con-)568 3807 y(trolled)g(b)m(y)g(domain-dep)s(enden)m(t)i(and)e(problem-dep)s (enden)m(t)i(heuristics)g(expressed)568 3927 y(declarativ)m(ely)-8 b(.)42 b(Expressing)27 b(heuristics)f(declarativ)m(ely)g(means)f(that)f (a)g(sen)m(tence)568 4047 y(ab)s(out)33 b(a)h(heuristic)h(can)g(b)s(e)f (the)g(result)h(of)e(reasoning)i(and)f(not)g(merely)h(some-)568 4168 y(thing)43 b(put)g(in)g(from)g(the)g(outside)h(b)m(y)g(a)f(p)s (erson.)75 b(Jose\014na)44 b(Sierra)f([Sie98b],)568 4288 y([Sie98a],)32 b([Sie98c)q(],)h([Sie99])g(has)g(made)g(some)g(recen)m (t)h(progress.)324 4491 y Fh(Logic)k(programming)50 b Fk(Logic)35 b(programming)h(isolates)g(a)f(sub)s(domain)i(of)d(\014rst) i(or-)568 4612 y(der)h(logic)h(that)f(has)h(nice)g(computational)g (prop)s(erties.)59 b(When)38 b(the)g(facts)g(are)568 4732 y(describ)s(ed)e(as)e(a)g(logic)g(program,)g(problems)h(can)g (often)f(b)s(e)g(solv)m(ed)i(b)m(y)f(a)f(stan-)568 4853 y(dard)26 b(program,)h(e.g.)41 b(a)26 b(Prolog)f(in)m(terpreter,)k (using)e(these)g(facts)f(as)g(a)g(program.)1894 5251 y(13)p eop end %%Page: 14 14 TeXDict begin 14 13 bop 568 548 a Fk(Unfortunately)-8 b(,)38 b(in)g(general)f(the)g(facts)h(ab)s(out)e(a)h(domain)g(and)g (the)g(problems)568 668 y(w)m(e)c(w)m(ould)h(lik)m(e)g(computers)g(to)e (solv)m(e)i(ha)m(v)m(e)g(that)e(form)g(only)i(in)e(sp)s(ecial)i(cases.) 324 861 y Fh(Useful)k(Coun)m(terfactuals)50 b Fk(\\If)34 b(another)g(car)g(had)g(come)h(o)m(v)m(er)g(the)f(hill)h(when)g(y)m(ou) 568 981 y(passed)51 b(that)f(Mercedes,)57 b(there)51 b(w)m(ould)g(ha)m(v)m(e)h(b)s(een)f(a)f(head-on)g(collision.")568 1102 y(One's)34 b(reaction)g(to)g(b)s(elieving)h(that)e(coun)m (terfactual)i(conditional)f(sen)m(tence)i(is)568 1222 y(quite)h(di\013eren)m(t)h(from)f(one's)g(reaction)g(to)f(the)h (corresp)s(onding)h(material)f(con-)568 1342 y(ditional.)57 b(Mac)m(hines)40 b(need)e(to)f(represen)m(t)i(suc)m(h)g(sen)m(tences)h (in)e(order)f(to)g(learn)568 1463 y(from)32 b(not-quite-exp)s (eriences.)46 b(See)34 b([CM98].)324 1655 y Fh(F)-9 b(ormalized)38 b(Con)m(texts)49 b Fk(An)m(y)37 b(particular)g(bit)g(of)f(thinking)h(o) s(ccurs)g(in)g(some)g(con-)568 1776 y(text.)65 b(Humans)40 b(often)g(sp)s(ecialize)h(the)f(con)m(text)h(to)e(particular)h (situations)g(or)568 1896 y(theories,)e(and)e(this)g(mak)m(es)i(the)e (reasoning)g(more)h(de\014nite,)h(sometimes)g(com-)568 2017 y(pletely)32 b(de\014nite.)45 b(Going)30 b(the)i(other)f(w)m(a)m (y)-8 b(,)33 b(w)m(e)f(sometimes)h(ha)m(v)m(e)g(to)d(generalize)568 2137 y(the)j(con)m(text)h(of)e(our)g(though)m(ts)h(to)g(tak)m(e)g(some) g(phenomena)h(in)m(to)f(accoun)m(t.)568 2293 y(It)24 b(has)i(b)s(een)f(w)m(orth)m(while)i(to)d(admit)h(con)m(texts)h(as)f (ob)5 b(jects)26 b(in)m(to)f(the)g(on)m(tology)g(of)568 2414 y(logical)30 b(AI.)i(The)f(protot)m(yp)s(e)h(form)m(ula)f Fe(ist)p Fk(\()p Fe(c;)17 b(p)p Fk(\))30 b(asserts)j(that)d(the)h(prop) s(osition)568 2534 y Fe(p)k Fk(is)g(true)g(in)h(the)f(con)m(text)h Fe(c)p Fk(.)51 b(The)36 b(formal)f(theory)g(is)h(discussed)h(in)f ([McC93],)568 2655 y([MB98])c(and)h(in)g(pap)s(ers)g(b)m(y)h(Sa)-5 b(\024)-44 b(sa)32 b(Buv)-5 b(a)m(\024)-46 b(c,)33 b(a)m(v)-5 b(ailable)33 b(in)g([Buv95)q(].)324 2847 y Fh(Ric)m(h)k(and)h(P)m(o)s (or)f(En)m(tities)48 b Fk(A)29 b Fj(rich)i(entity)38 b Fk(is)30 b(one)f(ab)s(out)f(whic)m(h)j(a)d(p)s(erson)i(or)e(ma-)568 2968 y(c)m(hine)40 b(can)f(nev)m(er)h(learn)f(all)g(the)g(facts.)62 b(The)40 b(state)f(of)f(the)i(reader's)f(b)s(o)s(dy)g(is)568 3088 y(a)g(ric)m(h)i(en)m(tit)m(y)-8 b(.)66 b(The)40 b(actual)g(history)h(of)e(m)m(y)i(going)e(home)h(this)g(ev)m(ening)i (is)e(a)568 3208 y(ric)m(h)35 b(en)m(tit)m(y)-8 b(,)37 b(e.g.)50 b(it)34 b(includes)j(the)e(exact)g(p)s(osition)g(of)f(m)m(y)i (b)s(o)s(dy)e(on)h(fo)s(ot)e(and)568 3329 y(in)40 b(the)g(car)g(at)f (eac)m(h)i(momen)m(t.)66 b(While)41 b(a)e(system)j(can)e(nev)m(er)i (fully)e(describ)s(e)568 3449 y(a)34 b(ric)m(h)i(en)m(tit)m(y)-8 b(,)36 b(it)f(can)g(learn)g(facts)g(ab)s(out)f(it)h(and)g(represen)m(t) i(them)e(b)m(y)h(logical)568 3570 y(sen)m(tences.)568 3726 y Fj(Po)-5 b(or)46 b(entities)53 b Fk(o)s(ccur)45 b(in)g(plans)h(and)f(formal)f(theories)j(and)e(in)g(accoun)m(ts)h(of) 568 3846 y(situations)d(and)f(ev)m(en)m(ts)j(and)d(can)g(b)s(e)h(fully) g(prescrib)s(ed.)74 b(F)-8 b(or)41 b(example,)47 b(m)m(y)568 3967 y(plan)e(for)f(going)g(home)i(this)f(ev)m(ening)i(is)e(a)g(p)s(o)s (or)f(en)m(tit)m(y)-8 b(,)49 b(since)e(it)d(do)s(es)i(not)568 4087 y(con)m(tain)41 b(more)g(than)g(a)f(small,)k(\014xed)e(amoun)m(t)f (of)f(detail.)69 b(Ric)m(h)41 b(en)m(tities)i(are)568 4208 y(often)31 b(appro)m(ximated)h(b)m(y)g(p)s(o)s(or)e(en)m(tities.) 44 b(Indeed)33 b(some)e(ric)m(h)h(en)m(tities)h(ma)m(y)e(b)s(e)568 4328 y(regarded)i(as)f(in)m(v)m(erse)j(limits)f(of)e(trees)h(of)g(p)s (o)s(or)e(en)m(tities.)45 b(\(The)34 b(mathematical)568 4448 y(notion)d(of)g(in)m(v)m(erse)j(limit)e(ma)m(y)g(or)f(ma)m(y)h (not)f(turn)h(out)f(to)g(b)s(e)h(useful,)h(although)568 4569 y(I)45 b(w)m(ouldn't)h(advise)g(an)m(y)m(one)g(to)f(study)h(the)g (sub)5 b(ject)46 b(quite)g(y)m(et)g(just)g(for)e(its)568 4689 y(p)s(ossible)34 b(AI)e(applications.\))324 4882 y Fh(Nonmonotonic)38 b(Reasoning)50 b Fk(Both)42 b(h)m(umans)i(and)e (mac)m(hines)i(m)m(ust)g(dra)m(w)f(con-)568 5002 y(clusions)i(that)f (are)g(true)h(in)f(the)g(\\)p Fj(b)-5 b(est)9 b Fk(")44 b(mo)s(dels)h(of)f(the)g(facts)g(b)s(eing)h(tak)m(en)1894 5251 y(14)p eop end %%Page: 15 15 TeXDict begin 15 14 bop 568 548 a Fk(in)m(to)42 b(accoun)m(t.)73 b(Sev)m(eral)44 b(concepts)g(of)d Fj(b)-5 b(est)52 b Fk(are)42 b(used)h(in)g(di\013eren)m(t)g(systems.)568 668 y(Man)m(y)31 b(are)g(based)h(on)e(minimizing)i(something.)44 b(When)32 b(new)f(facts)g(are)g(added,)568 789 y(some)j(of)f(the)h (previous)i(conclusions)f(ma)m(y)g(no)e(longer)h(hold.)47 b(This)35 b(is)f(wh)m(y)h(the)568 909 y(reasoning)e(that)f(reac)m(hed)i (these)g(conclusions)g(is)g(called)f(nonmonotonic.)324 1110 y Fh(Probabilistic)38 b(Reasoning)50 b Fk(Probabilistic)f (reasoning)g(is)f(a)g(kind)h(of)f(nonmono-)568 1230 y(tonic)h (reasoning.)92 b(If)49 b(the)g(probabilit)m(y)h(of)e(one)h(sen)m(tence) i(is)f(c)m(hanged,)k(sa)m(y)568 1350 y(giv)m(en)31 b(the)g(v)-5 b(alue)31 b(1,)g(other)f(sen)m(tences)k(that)c(previously)i(had)f(high) g(probabilit)m(y)568 1471 y(ma)m(y)37 b(no)m(w)h(ha)m(v)m(e)g(lo)m(w)g (or)e(ev)m(en)j(0)d(probabilit)m(y)-8 b(.)58 b(Setting)37 b(up)g(the)g(probabilistic)568 1591 y(mo)s(dels,)30 b(i.e)e(de\014ning) h(the)g(sample)g(space)g(of)f(\\ev)m(en)m(ts")i(to)e(whic)m(h)h (probabilities)568 1712 y(are)40 b(to)g(b)s(e)g(giv)m(en)i(often)e(in)m (v)m(olv)m(es)j(more)e(general)f(nonmonotonic)h(reasoning,)568 1832 y(but)36 b(this)g(is)g(con)m(v)m(en)m(tionally)i(done)e(b)m(y)h(a) e(p)s(erson)h(informally)g(rather)g(than)g(b)m(y)568 1952 y(a)c(computer.)568 2113 y(In)22 b(the)h(op)s(en)f(common)h(sense) h(informatic)e(situation,)j(there)d(isn't)h(an)m(y)g(apparen)m(t)568 2233 y(o)m(v)m(erall)k(sample)h(space.)43 b(Probabilistic)28 b(theories)f(ma)m(y)h(formed)f(b)m(y)g(limiting)g(the)568 2354 y(space)38 b(of)f(ev)m(en)m(ts)j(considered)f(and)e(then)h (establishing)h(a)e(distribution.)59 b(Lim-)568 2474 y(iting)32 b(the)g(ev)m(en)m(ts)j(considered)f(should)f(b)s(e)f(done)g (b)m(y)h(whatev)m(er)h(nonmonotonic)568 2594 y(reasoning)25 b(tec)m(hniques)k(are)c(dev)m(elop)s(ed)i(tec)m(hniques)h(for)d (limiting)g(the)h(phenom-)568 2715 y(ena)i(tak)m(en)g(in)m(to)g(accoun) m(t.)43 b(\(Y)-8 b(ou)28 b(ma)m(y)g(tak)m(e)h(this)f(as)g(a)g (confession)h(that)f(I)f(don't)568 2835 y(kno)m(w)33 b(these)g(tec)m(hniques.\))47 b(In)32 b(forming)g(distributions,)i (there)f(w)m(ould)g(seem)h(to)568 2956 y(b)s(e)d(a)f(default)i(rule)f (that)g(t)m(w)m(o)h(ev)m(en)m(ts)h Fe(e)2030 2971 y Fi(1)2100 2956 y Fk(and)e Fe(e)2333 2971 y Fi(2)2404 2956 y Fk(are)g(to)g(b)s(e)g (tak)m(en)h(as)f(indep)s(en-)568 3076 y(den)m(t)37 b(unless)i(there)e (is)g(a)g(reason)g(to)f(do)h(otherwise.)57 b Fe(e)2625 3091 y Fi(1)2701 3076 y Fk(and)37 b Fe(e)2940 3091 y Fi(2)3016 3076 y Fk(can't)g(b)s(e)g(just)568 3196 y(an)m(y)c(ev)m(en)m (ts)i(but)e(ha)m(v)m(e)h(to)e(b)s(e)h(in)f(some)i(sense)g(basic)g(ev)m (en)m(ts.)324 3397 y Fh(Circumscription)49 b Fk(A)27 b(metho)s(d)h(of)f(nonmonotonic)h(reasoning)g(in)m(v)m(olving)h (minimiz-)568 3517 y(ing)24 b(predicates)i(\(and)f(sometimes)h (domains\).)41 b(It)25 b(w)m(as)g(in)m(tro)s(duced)h(in)f([McC77],)568 3638 y([McC80)q(])36 b(and)h([McC86)q(].)56 b(An)37 b(up-to-date)f (discussion,)k(including)e(n)m(umerous)568 3758 y(v)-5 b(arian)m(ts,)33 b(is)g([Lif94)o(].)324 3959 y Fh(Default)38 b(Logic)49 b Fk(A)32 b(metho)s(d)g(of)f(nonmonotonic)h(reasoning)g(in)m (tro)s(duced)h(in)f([Rei80])568 4079 y(that)g(is)h(the)g(main)g(surviv) m(or)h(along)e(with)i(circumscription.)324 4280 y Fh(Y)-9 b(ale)37 b(Sho)s(oting)h(Problem)49 b Fk(This)34 b(problem,)f(in)m(tro) s(duced)g(in)g([HM86],)f(is)h(a)f(simple)568 4400 y Fj(Dr)-5 b(osophila)46 b Fk(for)40 b(nonmonotonic)i(reasoning.)68 b(The)42 b(simplest)g(formalizations)568 4521 y(of)30 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