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%
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% @@psencodingfile@{
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% author = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry,
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% W. Schmidt, P. Lehman",
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% version = "2.0",
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% date = "30 October 2002",
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% @}
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%
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% The idea is to have all the characters normally included in Type 1 fonts
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% available for typesetting. This is effectively the characters in Adobe
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% Standard encoding, ISO Latin 1, Windows ANSI including the euro symbol,
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% MacRoman, and some extra characters from Lucida.
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%
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% Character code assignments were made as follows:
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%
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% (1) the Windows ANSI characters are almost all in their Windows ANSI
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% positions, because some Windows users cannot easily reencode the
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% fonts, and it makes no difference on other systems. The only Windows
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% ANSI characters not available are those that make no sense for
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% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen
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% (173). quotesingle and grave are moved just because it's such an
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% irritation not having them in TeX positions.
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%
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% (2) Remaining characters are assigned arbitrarily to the lower part
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% of the range, avoiding 0, 10 and 13 in case we meet dumb software.
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%
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% (3) Y&Y Lucida Bright includes some extra text characters; in the
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% consumption, will include them, they are included starting at 0x12.
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% These are /dotlessj /ff /ffi /ffl.
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%
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% (4) hyphen appears twice for compatibility with both ASCII and Windows.
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%
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% (5) /Euro was assigned to 128, as in Windows ANSI
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%
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% (6) Missing characters from MacRoman encoding incorporated as follows:
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%
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% PostScript MacRoman TeXBase1
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% -------------- -------------- --------------
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% /notequal 173 0x16
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%
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% 0x00
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/.notdef /dotaccent /fi /fl
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/fraction /hungarumlaut /Lslash /lslash
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/ogonek /ring /.notdef /breve
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/minus /.notdef /Zcaron /zcaron
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% 0x10
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/caron /dotlessi /dotlessj /ff
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/ffi /ffl /notequal /infinity
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/lessequal /greaterequal /partialdiff /summation
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/product /pi /grave /quotesingle
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% 0x20
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/space /exclam /quotedbl /numbersign
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/dollar /percent /ampersand /quoteright
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/parenleft /parenright /asterisk /plus
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/comma /hyphen /period /slash
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% 0x30
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/zero /one /two /three
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/four /five /six /seven
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/eight /nine /colon /semicolon
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/less /equal /greater /question
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% 0x40
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/at /A /B /C
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/D /E /F /G
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/H /I /J /K
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/L /M /N /O
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% 0x50
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/P /Q /R /S
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/T /U /V /W
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/X /Y /Z /bracketleft
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/backslash /bracketright /asciicircum /underscore
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% 0x60
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/quoteleft /a /b /c
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/d /e /f /g
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/h /i /j /k
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/l /m /n /o
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% 0x70
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/p /q /r /s
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/t /u /v /w
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/x /y /z /braceleft
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/bar /braceright /asciitilde /.notdef
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% 0x80
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/Euro /integral /quotesinglbase /florin
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/quotedblbase /ellipsis /dagger /daggerdbl
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/circumflex /perthousand /Scaron /guilsinglleft
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/OE /Omega /radical /approxequal
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% 0x90
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/.notdef /.notdef /.notdef /quotedblleft
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/quotedblright /bullet /endash /emdash
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/tilde /trademark /scaron /guilsinglright
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/oe /Delta /lozenge /Ydieresis
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% 0xA0
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/.notdef /exclamdown /cent /sterling
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/currency /yen /brokenbar /section
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/dieresis /copyright /ordfeminine /guillemotleft
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/logicalnot /hyphen /registered /macron
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% 0xD0
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/degree /plusminus /twosuperior /threesuperior
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/acute /mu /paragraph /periodcentered
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/cedilla /onesuperior /ordmasculine /guillemotright
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/onequarter /onehalf /threequarters /questiondown
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% 0xC0
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/Agrave /Aacute /Acircumflex /Atilde
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/Adieresis /Aring /AE /Ccedilla
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/Egrave /Eacute /Ecircumflex /Edieresis
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/Igrave /Iacute /Icircumflex /Idieresis
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% 0xD0
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/Eth /Ntilde /Ograve /Oacute
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/Ocircumflex /Otilde /Odieresis /multiply
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/Oslash /Ugrave /Uacute /Ucircumflex
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/Udieresis /Yacute /Thorn /germandbls
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% 0xE0
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/agrave /aacute /acircumflex /atilde
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/adieresis /aring /ae /ccedilla
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/egrave /eacute /ecircumflex /edieresis
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/igrave /iacute /icircumflex /idieresis
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% 0xF0
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/eth /ntilde /ograve /oacute
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/ocircumflex /otilde /odieresis /divide
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/oslash /ugrave /uacute /ucircumflex
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/udieresis /yacute /thorn /ydieresis
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div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type
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{userdict/md get type/dicttype eq{userdict begin md length 10 add md
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currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts
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psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx
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psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub
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TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def
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|
|
2748 |
1856 y(k)2639 1830 y Fm(M)2733 1845 y Fj(2)2773 1830
|
|
2749 |
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|
|
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|
|
2751 |
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|
|
2752 |
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|
|
2753 |
Fj(+1)2378 2011 y Fm(M)2472 2026 y Fj(1)2512 2011 y Fk(\))291
|
|
2754 |
2201 y Fu(The)27 b(substitution)e(of)j(a)g(term)g Fm(N)38
|
|
2755 |
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|
|
2756 |
Fu(,)h(written)f(as)h Fk([)p Fm(k)37 b Fk(:=)c Fm(N)10
|
|
2757 |
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|
|
2758 |
(follo)n(ws:)p Black Black 1085 2647 a Fk(\()p Fh(V)-7
|
|
2759 |
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|
|
2760 |
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|
|
2761 |
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|
|
2762 |
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|
|
2763 |
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|
|
2764 |
2622 y Fg(k)2047 2683 y Fj(0)2117 2658 y Fm(N)373 b Fu(if)25
|
|
2765 |
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|
|
2766 |
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|
|
2767 |
2996 y Fk(\()p Fh(App)34 b Fm(M)1147 3011 y Fj(1)1214
|
|
2768 |
2996 y Fm(M)1308 3011 y Fj(2)1348 2996 y Fk(\)[)p Fm(k)d
|
|
2769 |
Fk(:=)c Fm(N)10 b Fk(])1774 2940 y Ff(def)1779 2996 y
|
|
2770 |
Fk(=)37 b Fh(App)d Fk(\()p Fm(M)2230 3011 y Fj(1)2270
|
|
2771 |
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|
|
2772 |
Fm(M)2822 3011 y Fj(2)2862 2996 y Fk([)p Fm(k)j Fk(:=)d
|
|
2773 |
Fm(N)10 b Fk(]\))984 3176 y(\()p Fh(L)-5 b(am)35 b Fm(M)10
|
|
2774 |
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|
|
2775 |
y Ff(def)1779 3176 y Fk(=)37 b Fh(L)-5 b(am)35 b Fk(\()p
|
|
2776 |
Fm(M)10 b Fk([)p Fm(k)26 b Fk(+)c(1)27 b(:=)h Fm(N)10
|
|
2777 |
b Fk(]\))291 3361 y Fu(Since)32 b(the)g(type)g Fh(dB)42
|
|
2778 |
b Fu(is)32 b(a)h(completely)e(standard)h(datatype,)h(both)f
|
|
2779 |
(de\002nitions)f(can)h(be)h(im-)291 3481 y(plemented)22
|
|
2780 |
b(by)h(primiti)n(v)o(e)e(recursion.)30 b(The)24 b(substitution)d(lemma)
|
|
2781 |
h(then)i(tak)o(es)f(the)g(follo)n(wing)291 3601 y(form:)p
|
|
2782 |
Black Black 541 3780 a Fn(Substitution)35 b(Lemma)f(with)g(de)h(Bruijn)
|
|
2783 |
g(Indices:)79 b Fu(F)o(or)33 b(all)h(indices)f Fm(i)p
|
|
2784 |
Fu(,)j Fm(j)6 b Fu(,)541 3901 y(with)24 b Fm(i)k Fl(\024)g
|
|
2785 |
Fm(j)j Fu(we)25 b(ha)n(v)o(e)f(that)777 4081 y Fm(M)10
|
|
2786 |
b Fk([)p Fm(i)29 b Fk(:=)e Fm(N)10 b Fk(][)p Fm(j)35
|
|
2787 |
b Fk(:=)27 b Fm(L)p Fk(])i(=)e Fm(M)10 b Fk([)p Fm(j)29
|
|
2788 |
b Fk(+)22 b(1)28 b(:=)f Fm(L)p Fk(][)p Fm(i)i Fk(:=)e
|
|
2789 |
Fm(N)10 b Fk([)p Fm(j)29 b Fl(\000)23 b Fm(i)28 b Fk(:=)f
|
|
2790 |
Fm(L)p Fk(]])i Fu(.)291 4255 y(Note)24 b(that)h(one)f(pro)o(v)o(es)g
|
|
2791 |
(an)h(equation,)f(rather)h(than)f(an)h(alpha-equi)n(v)n(alence.)30
|
|
2792 |
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|
|
2793 |
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|
|
2794 |
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|
|
2795 |
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|
|
2796 |
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|
|
2797 |
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|
|
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|
|
2799 |
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|
|
2800 |
(this)291 4857 y(lemma.)48 b(Notice)30 b(also)g(that)h(the)f(condition)
|
|
2801 |
g Fm(i)39 b Fl(\024)g Fm(j)e Fu(is)30 b(necessary)-6
|
|
2802 |
b(,)32 b(otherwise)e(the)h(equation)291 4977 y(does)24
|
|
2803 |
b(not)g(hold)g(in)h(general.)437 5106 y(Lik)o(e)34 b(the)h(informal)f
|
|
2804 |
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|
|
2805 |
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2806 |
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|
|
2807 |
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|
|
2808 |
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2809 |
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|
|
2837 |
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|
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|
2895 |
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|
|
2896 |
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|
|
2897 |
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|
2898 |
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|
2899 |
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|
2900 |
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|
|
2901 |
1961 a
|
|
2902 |
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|
2903 |
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|
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|
2905 |
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|
|
2906 |
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|
|
2907 |
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|
2908 |
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|
|
2909 |
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2910 |
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2911 |
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|
2912 |
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|
2913 |
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|
|
2914 |
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|
|
2915 |
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|
2916 |
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|
2917 |
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|
2918 |
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|
|
2919 |
a
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|
2920 |
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2921 |
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|
2922 |
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|
2923 |
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|
2926 |
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|
2927 |
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|
2928 |
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|
2929 |
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|
2930 |
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2931 |
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2932 |
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|
2933 |
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2934 |
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|
|
2935 |
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|
|
2936 |
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|
|
2937 |
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|
2938 |
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2939 |
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|
2940 |
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|
2941 |
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|
|
2942 |
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2943 |
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|
|
2944 |
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|
|
2945 |
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|
|
2946 |
y Fm(N)10 b Fk(\)[)p Fm(j)37 b Fl(\000)31 b Fm(i)g Fk(+)f
|
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|
|
3413 |
b(This)35 b(requires)g(some)g(small)g(proofs)g(that)g(ha)n(v)o(e)g(no)g
|
|
3414 |
(counterpart)h(in)f(the)g(informal)291 3667 y(proof)29
|
|
3415 |
b(and)h(in)f(the)h(formalisation)e(based)h(on)h(de)g(Bruijn)f(indices.)
|
|
3416 |
45 b(This)29 b(need)h(of)g(v)o(erifying)291 3787 y(some)d(properties)h
|
|
3417 |
(arises)g(whene)n(v)o(er)g(a)g(function)g(is)f(de\002ned)i(by)f
|
|
3418 |
(recursion)g(o)o(v)o(er)f(the)h(struc-)291 3908 y(ture)c(of)h
|
|
3419 |
(alpha-equated)g(lambda-terms.)437 4036 y(W)l(ith)36
|
|
3420 |
b(the)g(de\002nition)f(of)h(the)h(nominal)e(datatype)g
|
|
3421 |
Fh(lam)44 b Fu(comes)36 b(the)g(follo)n(wing)e Fc(str)l(ong)291
|
|
3422 |
4157 y Fu(structural)24 b(induction)f(principle)h([)p
|
|
3423 |
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|
|
3424 |
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|
|
3425 |
1505 4157 a 0 0 1 TeXcolorrgb
|
|
3426 |
Fu(14)p 0 0 1 TeXcolorrgb 1605 4089 a
|
|
3427 |
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|
|
3428 |
1605 4089 a 1605
|
|
3429 |
4157 a
|
|
3430 |
SDict begin [ /Color [0 1 0] /H /I /Border [0 0 0] /Subtype /Link /Dest
|
|
3431 |
(cite.UrbanNorrish05) cvn H.B /ANN pdfmark end
|
|
3432 |
1605 4157 a Black Fu(,)p 0 0 1 TeXcolorrgb 1630
|
|
3433 |
4158 a
|
|
3434 |
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|
|
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1630 4158 a 0 0 1 TeXcolorrgb -1 x Fu(15)p 0 0 1
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|
|
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|
|
3438 |
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|
|
3439 |
SDict begin [ /Color [0 1 0] /H /I /Border [0 0 0] /Subtype /Link /Dest
|
|
3440 |
(cite.UrbanTasson05) cvn H.B /ANN pdfmark end
|
|
3441 |
1729
|
|
3442 |
4157 a Black Fu(]:)p Black Black 690 4348 a Fl(8)p Fm(c)17
|
|
3443 |
b(x:)56 b(P)41 b Fk(\()p Fh(V)-7 b(ar)36 b Fm(x)p Fk(\))28
|
|
3444 |
b Fm(c)690 4505 y Fl(8)p Fm(c)17 b(M)898 4520 y Fj(1)955
|
|
3445 |
4505 y Fm(M)1049 4520 y Fj(2)1089 4505 y Fm(:)55 b Fk(\()p
|
|
3446 |
Fl(8)p Fm(d:)28 b(P)41 b(M)1568 4520 y Fj(1)1635 4505
|
|
3447 |
y Fm(d)p Fk(\))50 b Fl(^)g Fk(\()p Fl(8)p Fm(d:)28 b(P)41
|
|
3448 |
b(M)2287 4520 y Fj(2)2354 4505 y Fm(d)p Fk(\))55 b Fl(\))28
|
|
3449 |
b Fm(P)41 b Fk(\()p Fh(App)31 b Fm(M)3065 4520 y Fj(1)3132
|
|
3450 |
4505 y Fm(M)3226 4520 y Fj(2)3266 4505 y Fk(\))d Fm(c)690
|
|
3451 |
4662 y Fl(8)p Fm(c)17 b(z)22 b(M)5 b(:)55 b(z)33 b Fk(#)28
|
|
3452 |
b Fm(c)50 b Fl(^)g Fk(\()p Fl(8)p Fm(d:)28 b(P)41 b(M)d(d)p
|
|
3453 |
Fk(\))55 b Fl(\))g Fm(P)30 b Fk(\()p Fh(L)-5 b(am)32
|
|
3454 |
b Fm(z)e(M)10 b Fk(\))17 b Fm(c)p 690 4736 2684 4 v 1904
|
|
3455 |
4821 a(P)30 b(M)d(c)291 4985 y Fu(This)32 b(induction)h(principle)g
|
|
3456 |
(states)g(that)g(if)h(one)f(w)o(ants)g(to)h(establish)e(a)i(property)f
|
|
3457 |
Fm(P)48 b Fu(for)34 b(all)291 5106 y(lambda-terms)29
|
|
3458 |
b Fm(M)10 b Fu(,)33 b(then,)f(as)e(e)o(xpected,)i(one)e(has)h(to)f(pro)
|
|
3459 |
o(v)o(e)g(it)g(for)h(the)f(constructors)g Fh(V)-7 b(ar)10
|
|
3460 |
b Fu(,)291 5226 y Fh(App)37 b Fu(and)31 b Fh(L)-5 b(am)7
|
|
3461 |
b Fu(.)49 b(It)31 b(is)f(called)h Fc(str)l(ong)e Fu(induction)h
|
|
3462 |
(principle)g(because)h(it)g(has)g(Barendre)o(gt')-5 b(s)291
|
|
3463 |
5347 y(v)n(ariable)38 b(con)l(v)o(ention)g(already)i(b)n(uilt)e(in.)74
|
|
3464 |
b(Barendre)o(gt)40 b(assumes)e(in)h(his)g(informal)f(proof)p
|
|
3465 |
Black 1897 5513 a(7)p Black eop end
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|
3466 |
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3467 |
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|
3468 |
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3469 |
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3470 |
closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show
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3471 |
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3472 |
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3473 |
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|
3474 |
SDict begin H.S end
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|
3475 |
291 -166 a 0 TeXcolorgray 0 TeXcolorgray 291
|
|
3476 |
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|
3477 |
SDict begin H.R end
|
|
3478 |
291 -166 a 291 -166 a
|
|
3479 |
SDict begin [ /View [/XYZ H.V] /Dest (page.8) cvn H.B /DEST pdfmark
|
|
3480 |
end
|
|
3481 |
291 -166 a Black 1173 w
|
|
3482 |
Fo(Ber)n(ghofer)33 b(and)e(Urban)p Black 291 83 a Fu(that)f(in)h(the)g
|
|
3483 |
(lambda-case)g(the)g(binder)g Fm(z)36 b Fu(is)30 b(not)h(equal)g(to)f
|
|
3484 |
Fm(x)i Fu(and)f Fm(y)t Fu(,)h(and)f(is)g(not)f(free)i(in)f
|
|
3485 |
Fm(N)291 203 y Fu(and)j Fm(L)p Fu(.)62 b(Using)34 b(the)g(strong)g
|
|
3486 |
(induction)g(principle,)i(we)f(will)f(be)h(able)g(to)f(mimic)g(the)h(v)
|
|
3487 |
n(ari-)291 324 y(able)d(con)l(v)o(ention)f(by)i(instantiating)d
|
|
3488 |
Fm(c)p Fu(,)k(we)f(call)g(this)e(the)i Fc(conte)n(xt)h
|
|
3489 |
Fu(of)f(the)f(induction,)h(with)291 444 y Fm(c)h Fl(7!)g
|
|
3490 |
Fk(\()p Fm(x;)17 b(y)t(;)g(N)5 b(;)17 b(L)p Fk(\))p Fu(.)990
|
|
3491 |
444 y
|
|
3492 |
SDict begin H.S end
|
|
3493 |
990 444 a 990 444 a
|
|
3494 |
SDict begin 14.5 H.A end
|
|
3495 |
990 444 a 990 444 a
|
|
3496 |
SDict begin [ /View [/XYZ H.V] /Dest (footnote.1) cvn H.B /DEST pdfmark
|
|
3497 |
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|
|
3498 |
990 444
|
|
3499 |
a 0 0 1 TeXcolorrgb 990 444 a
|
|
3500 |
SDict begin H.S end
|
|
3501 |
990 444 a 1006 408 a Fj(4)1062
|
|
3502 |
444 y
|
|
3503 |
SDict begin 14.5 H.L end
|
|
3504 |
1062 444 a 1062 444 a
|
|
3505 |
SDict begin [ /Subtype /Link /Dest (Hfootnote.2) cvn /H /I /Border
|
|
3506 |
[0 0 0] /Color [1 0 0] H.B /ANN pdfmark end
|
|
3507 |
1062 444 a Black 42 w Fu(When)28
|
|
3508 |
b(it)g(then)g(comes)g(to)g(establishing)f(the)h Fh(L)-5
|
|
3509 |
b(am)7 b Fu(-case,)30 b(we)f(can)g(as-)291 565 y(sume)d(that)h(the)g
|
|
3510 |
(binder)g Fm(z)32 b Fu(is)27 b(fresh)h(for)f Fk(\()p
|
|
3511 |
Fm(x;)17 b(y)t(;)g(N)5 b(;)17 b(L)p Fk(\))p Fu(,)27 b(that)g(means)g
|
|
3512 |
(is)f(not)h(equal)g(to)g Fm(x)h Fu(and)f Fm(y)t Fu(,)291
|
|
3513 |
685 y(and)33 b(is)g(not)f(free)j(in)d Fm(N)44 b Fu(and)34
|
|
3514 |
b Fm(L)p Fu(.)56 b(As)33 b(a)h(result,)h(the)e(induction)f(in)h(the)g
|
|
3515 |
(substitution)d(lemma)291 805 y(will)j(go)i(through)f(smoothly)-6
|
|
3516 |
b(,)34 b(just)g(lik)o(e)g(in)h(Barendre)o(gt')-5 b(s)34
|
|
3517 |
b(informal)g(proof.)60 b(If)36 b(the)e(nomi-)291 926
|
|
3518 |
y(nal)26 b(datatype)f(package)i(had)f Fc(not)i Fu(pro)o(vided)d(such)g
|
|
3519 |
(strong)h(induction)e(principles,)i(reasoning)291 1046
|
|
3520 |
y(w)o(ould)e(be)i(quite)f(incon)l(v)o(enient:)31 b(one)25
|
|
3521 |
b(w)o(ould)g(ha)n(v)o(e)h(to)f(rename)h(binders)f(so)g(that,)h(for)g(e)
|
|
3522 |
o(xam-)291 1166 y(ple,)e(substitutions)e(can)j(be)g(mo)o(v)o(ed)e
|
|
3523 |
(under)i(lambdas.)437 1295 y(Despite)20 b(the)h(e)o(xcellent)e(notes)i
|
|
3524 |
(from)f(Barendre)o(gt)h(con)l(v)o(e)o(ying)e(v)o(ery)h(well)g(the)h
|
|
3525 |
(proof)f(idea,)291 1416 y(for)k(the)f(formalisation)f(of)i(the)g
|
|
3526 |
(substitution)d(lemma)i(we)h(need)g(to)f(supply)g(some)g(details)g
|
|
3527 |
(that)291 1536 y(are)k(left)f(out)f(in)h(his)g(notes.)34
|
|
3528 |
b(F)o(or)26 b(e)o(xample)f(in)h(Case)h(1.2)f(the)g(details)f(are)i
|
|
3529 |
(left)f(out)g(for)g(ho)n(w)g(to)291 1656 y(pro)o(v)o(e)d(the)i
|
|
3530 |
(property)f(of)291 1678 y
|
|
3531 |
SDict begin H.S end
|
|
3532 |
291 1678 a 291 1678 a
|
|
3533 |
SDict begin 14.5 H.A end
|
|
3534 |
291 1678
|
|
3535 |
a 291 1678 a
|
|
3536 |
SDict begin [ /View [/XYZ H.V] /Dest (equation.8) cvn H.B /DEST pdfmark
|
|
3537 |
end
|
|
3538 |
291 1678 a Black Black 1312 1815 a Fm(x)k
|
|
3539 |
Fk(#)g Fm(L)e Fu(implies)d(that)h Fm(L)p Fk([)p Fm(x)29
|
|
3540 |
b Fk(:=)f Fm(P)14 b Fk(])27 b(=)g Fm(L)h(:)p Black -2460
|
|
3541 |
w Fu(\(8\))p Black 291 1982 a(where)19 b Fm(x)28 b Fk(#)g
|
|
3542 |
Fm(L)20 b Fu(stands)e(for)i Fm(x)28 b Fl(62)g Fm(F)14
|
|
3543 |
b(V)21 b Fk(\()p Fm(L)p Fk(\))p Fu(.)29 b(This)19 b(f)o(act)g(can)h(be)
|
|
3544 |
f(pro)o(v)o(ed)f(by)h(an)g(induction)f(o)o(v)o(er)g Fm(L)291
|
|
3545 |
2102 y Fu(using)k(the)i(strong)f(induction)f(principle.)29
|
|
3546 |
b(F)o(or)24 b(this)f(we)g(mak)o(e)h(the)f(follo)n(wing)f
|
|
3547 |
(instantiations:)p Black Black 1116 2297 a Fm(P)46 b
|
|
3548 |
Fl(7!)33 b Fm(\025L:\025)p Fk(\()p Fm(x;)17 b(P)d Fk(\))p
|
|
3549 |
Fm(:)55 b(x)29 b Fk(#)e Fm(L)56 b Fl(\))f Fm(L)p Fk([)p
|
|
3550 |
Fm(x)29 b Fk(:=)e Fm(P)14 b Fk(])28 b(=)f Fm(L)1087 2454
|
|
3551 |
y(M)44 b Fl(7!)33 b Fm(L)1150 2611 y(c)g Fl(7!)g Fk(\()p
|
|
3552 |
Fm(x;)17 b(P)d Fk(\))291 2788 y Fu(As)21 b(a)g(result,)g(the)g(v)n
|
|
3553 |
(ariable)g(and)g(application)f(case)i(are)g(completely)e(routine.)29
|
|
3554 |
b(In)21 b(the)g(lambda-)291 2908 y(case)39 b(we)g(ha)n(v)o(e)g(to)f
|
|
3555 |
(sho)n(w)g(that)g Fm(x)55 b Fk(#)f(\()p Fh(L)-5 b(am)46
|
|
3556 |
b Fm(z)d(L)2100 2923 y Fj(1)2140 2908 y Fk(\))c Fu(implies)f
|
|
3557 |
Fk(\()p Fh(L)-5 b(am)46 b Fm(z)d(L)2974 2923 y Fj(1)3014
|
|
3558 |
2908 y Fk(\)[)p Fm(x)54 b Fk(:=)g Fm(P)14 b Fk(])53 b(=)291
|
|
3559 |
3028 y(\()p Fh(L)-5 b(am)32 b Fm(z)d(L)687 3043 y Fj(1)727
|
|
3560 |
3028 y Fk(\))c Fu(with)f(the)h(assumption)d(that)j Fm(z)32
|
|
3561 |
b Fk(#)c(\()p Fm(x;)17 b(P)d Fk(\))24 b Fu(and)h(the)g(induction)e
|
|
3562 |
(hypothesis)p Black Black 1343 3187 a Fl(8)p Fm(x;)17
|
|
3563 |
b(L:)29 b(x)f Fk(#)g Fm(L)53 b Fl(\))27 b Fm(L)p Fk([)p
|
|
3564 |
Fm(x)i Fk(:=)f Fm(P)14 b Fk(])27 b(=)g Fm(L)h(:)291 3354
|
|
3565 |
y Fu(From)g(the)h(assumption)e(that)i Fm(z)k Fu(is)c(not)f(equal)h(to)g
|
|
3566 |
Fm(x)g Fu(and)g(not)f(free)i(in)f Fm(L)p Fu(,)h(we)f(can)g(infer)h
|
|
3567 |
(from)291 3474 y Fm(x)k Fk(#)g(\()p Fh(L)-5 b(am)35 b
|
|
3568 |
Fm(z)e(L)898 3489 y Fj(1)938 3474 y Fk(\))28 b Fu(that)g
|
|
3569 |
Fm(x)34 b Fk(#)h Fm(L)1453 3489 y Fj(1)1521 3474 y Fu(holds)27
|
|
3570 |
b(and)h(by)g(applying)f(the)h(de\002nition)f(of)h(substitution)291
|
|
3571 |
3595 y(that)f Fk(\()p Fh(L)-5 b(am)35 b Fm(z)e(L)871
|
|
3572 |
3610 y Fj(1)911 3595 y Fk(\)[)p Fm(x)h Fk(:=)f Fm(P)14
|
|
3573 |
b Fk(])33 b(=)h Fh(L)-5 b(am)35 b Fm(z)e Fk(\()p Fm(L)1851
|
|
3574 |
3610 y Fj(1)1891 3595 y Fk([)p Fm(x)h Fk(:=)f Fm(P)14
|
|
3575 |
b Fk(]\))p Fu(.)40 b(No)n(w)27 b(we)h(just)f(need)h(to)g(apply)g(the)
|
|
3576 |
291 3715 y(induction)23 b(hypothesis)f(and)j(are)h(done.)437
|
|
3577 |
3844 y(Although)k(not)h(ob)o(vious)f(from)i(\002rst)f(glance,)j(also)d
|
|
3578 |
(in)h(Case)g(2,)h(in)f(the)f(last)g(step)h(of)g(the)291
|
|
3579 |
3964 y(calculation)f(where)i(the)f(substitution)d(is)j(pulled)f(back)h
|
|
3580 |
(from)g(under)h(the)f(binder)f Fm(\025z)t Fu(,)k(there)291
|
|
3581 |
4085 y(are)e(some)f(details)g(missing)f(from)h(Barendre)o(gt')-5
|
|
3582 |
b(s)32 b(informal)g(proof.)54 b(In)33 b(order)g(to)f(get)h(from)291
|
|
3583 |
4205 y Fh(L)-5 b(am)35 b Fm(z)e Fk(\()p Fm(M)722 4220
|
|
3584 |
y Fj(1)762 4205 y Fk([)p Fm(y)k Fk(:=)d Fm(L)p Fk(][)p
|
|
3585 |
Fm(x)h Fk(:=)f Fm(N)10 b Fk([)p Fm(y)38 b Fk(:=)c Fm(L)p
|
|
3586 |
Fk(]]\))29 b Fu(to)f Fk(\()p Fh(L)-5 b(am)35 b Fm(z)f(M)2421
|
|
3587 |
4220 y Fj(1)2460 4205 y Fk(\)[)p Fm(y)k Fk(:=)c Fm(L)p
|
|
3588 |
Fk(][)p Fm(x)h Fk(:=)f Fm(N)10 b Fk([)p Fm(y)38 b Fk(:=)c
|
|
3589 |
Fm(L)p Fk(]])p Fu(,)291 4325 y(we)25 b(need)g(the)f(property)h(that:)
|
|
3590 |
1362 4325 y
|
|
3591 |
SDict begin H.S end
|
|
3592 |
1362 4325 a 1362 4325 a
|
|
3593 |
SDict begin 14.5 H.A end
|
|
3594 |
1362 4325 a 1362
|
|
3595 |
4325 a
|
|
3596 |
SDict begin [ /View [/XYZ H.V] /Dest (equation.9) cvn H.B /DEST pdfmark
|
|
3597 |
end
|
|
3598 |
1362 4325 a Black Black 1155 4484 a Fu(if)g Fm(z)33
|
|
3599 |
b Fk(#)28 b Fm(N)35 b Fu(and)25 b Fm(z)32 b Fk(#)c Fm(L)d
|
|
3600 |
Fu(then)g Fm(z)32 b Fk(#)c(\()p Fm(N)10 b Fk([)p Fm(y)32
|
|
3601 |
b Fk(:=)27 b Fm(L)p Fk(]\))17 b Fm(:)p Black -2617 w
|
|
3602 |
Fu(\(9\))p Black 291 4651 a(where)24 b(the)f(preconditions)f(are)i(gi)n
|
|
3603 |
(v)o(en)e(by)i(his)f(use)g(of)h(the)f(v)n(ariable)g(con)l(v)o(ention.)
|
|
3604 |
29 b(This)22 b(prop-)291 4771 y(erty)-6 b(,)27 b(too,)h(can)g(be)g
|
|
3605 |
(easily)g(pro)o(v)o(ed)e(by)i(strong)e(induction)h(o)o(v)o(er)g(the)g
|
|
3606 |
(structure)h(of)f Fm(N)10 b Fu(.)40 b(In)28 b(this)291
|
|
3607 |
4892 y(induction)c(we)i(instantiate)e(the)i(induction)e(conte)o(xt)h
|
|
3608 |
(with)g Fm(c)30 b Fl(7!)f Fk(\()p Fm(z)t(;)17 b(y)t(;)g(L)p
|
|
3609 |
Fk(\))p Fu(,)25 b(because)i(then)e(we)291 5012 y(can)i(in)g(the)f
|
|
3610 |
Fh(L)-5 b(am)8 b Fu(-case,)28 b(say)f(instantiated)e(as)i
|
|
3611 |
Fk(\()p Fh(L)-5 b(am)34 b Fm(x)28 b(N)2335 5027 y Fj(1)2374
|
|
3612 |
5012 y Fk(\))p Fu(,)g(mo)o(v)o(e)d(the)i(substitution)d(under)p
|
|
3613 |
Black 291 5156 299 4 v 291 5217 a Ft(4)p 0 TeXcolorgray
|
|
3614 |
374 5247 a
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3031 2913 a Black Fw(.)291 2968 y
|
|
4451 |
SDict begin H.S end
|
|
4452 |
291 2968 a 291 2968
|
|
4453 |
a
|
|
4454 |
SDict begin 13.6 H.A end
|
|
4455 |
291 2968 a 291 2968 a
|
|
4456 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.AydemirBohannonWeirich06)
|
|
4457 |
cvn H.B /DEST pdfmark end
|
|
4458 |
291 2968 a Black 336 3112 a Fw([2])p
|
|
4459 |
Black 26 w(A)-8 b(ydemir)l(,)34 b(B.,)e(A.)h(Bohannon)j(and)e(S.)e(W)-7
|
|
4460 |
b(eirich,)35 b Fy(Nominal)f(Reasoning)i(Tec)o(hniques)g(in)e(Coq)467
|
|
4461 |
3224 y(\(Work)29 b(in)g(Pr)l(o)o(gr)m(ess\))p Fw(,)h(in:)f
|
|
4462 |
Fy(Pr)l(oc.)f(of)h(the)g(International)j(W)-8 b(orkshop)31
|
|
4463 |
b(on)e(Lo)o(gical)g(F)-5 b(r)o(ame)o(works)467 3337 y(and)22
|
|
4464 |
b(Meta-Langua)o(g)o(es:)k(Theory)c(and)g(Pr)o(actice)h(\(LFMTP\))p
|
|
4465 |
Fw(,)c(Electronic)24 b(Notes)e(in)f(Theoretical)467 3450
|
|
4466 |
y(Computer)j(Science,)g(2006.)291 3511 y
|
|
4467 |
SDict begin H.S end
|
|
4468 |
291 3511 a 291
|
|
4469 |
3511 a
|
|
4470 |
SDict begin 13.6 H.A end
|
|
4471 |
291 3511 a 291 3511 a
|
|
4472 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.challenge05) cvn H.B /DEST
|
|
4473 |
pdfmark end
|
|
4474 |
291 3511 a Black 336 3649
|
|
4475 |
a Fw([3])p Black 26 w(A)-8 b(ydemir)l(,)37 b(B.)f(E.,)g(A.)g(Bohannon,)
|
|
4476 |
i(M.)f(F)o(airbairn,)h(J.)e(N.)g(F)o(oster)l(,)i(B.)d(C.)h(Pierce,)i(P)
|
|
4477 |
-10 b(.)35 b(Se)n(well,)467 3762 y(D.)19 b(Vytiniotis,)j(G.)d(W)-7
|
|
4478 |
b(ashb)n(urn,)22 b(S.)c(W)-7 b(eirich)22 b(and)e(S.)f(Zdance)n(wic,)i
|
|
4479 |
Fy(Mec)o(hanized)i(Metatheory)f(for)467 3875 y(the)k(Masses:)g(The)f
|
|
4480 |
(PoplMark)i(Challeng)o(e)p Fw(,)g(in:)f Fy(Pr)l(oc.)f(of)g(the)h(18th)g
|
|
4481 |
(International)k(Confer)m(ence)467 3988 y(on)19 b(Theor)m(em)f(Pr)l(o)o
|
|
4482 |
(ving)i(in)e(Higher)h(Or)m(der)g(Lo)o(gics)g(\(TPHOLs\))p
|
|
4483 |
Fw(,)d(LNCS)g Fx(3603)p Fw(,)k(2005,)f(pp.)f(50\22665.)291
|
|
4484 |
4049 y
|
|
4485 |
SDict begin H.S end
|
|
4486 |
291 4049 a 291 4049 a
|
|
4487 |
SDict begin 13.6 H.A end
|
|
4488 |
291 4049 a 291 4049 a
|
|
4489 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.Barendregt81) cvn H.B /DEST
|
|
4490 |
pdfmark end
|
|
4491 |
291
|
|
4492 |
4049 a Black 336 4186 a Fw([4])p Black 26 w(Barendre)o(gt,)29
|
|
4493 |
b(H.,)d(\223The)i(Lambda)g(Calculus:)h(Its)f(Syntax)g(and)g(Semantics,)
|
|
4494 |
-6 b(\224)29 b(Studies)g(in)e(Logic)467 4299 y(and)d(the)g(F)o
|
|
4495 |
(oundations)i(of)d(Mathematics)i Fx(103)p Fw(,)f(North-Holland,)i
|
|
4496 |
(1981.)291 4353 y
|
|
4497 |
SDict begin H.S end
|
|
4498 |
291 4353 a 291 4353 a
|
|
4499 |
SDict begin 13.6 H.A end
|
|
4500 |
291 4353 a 291
|
|
4501 |
4353 a
|
|
4502 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.CurryFeys58) cvn H.B /DEST
|
|
4503 |
pdfmark end
|
|
4504 |
291 4353 a Black 336 4498 a Fw([5])p Black 26
|
|
4505 |
w(Curry)-6 b(,)39 b(H.)e(B.)h(and)h(R.)e(Fe)o(ys,)h(\223Combinatory)j
|
|
4506 |
(Logic)e(Vol.)f(I,)-6 b(\224)38 b(Studies)i(in)f(Logic)g(and)g(the)467
|
|
4507 |
4611 y(F)o(oundations)26 b(of)d(Mathematics,)i(North-Holland,)h(1958.)
|
|
4508 |
291 4665 y
|
|
4509 |
SDict begin H.S end
|
|
4510 |
291 4665 a 291 4665 a
|
|
4511 |
SDict begin 13.6 H.A end
|
|
4512 |
291 4665 a 291 4665
|
|
4513 |
a
|
|
4514 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.debruijn72im) cvn H.B /DEST
|
|
4515 |
pdfmark end
|
|
4516 |
291 4665 a Black 336 4809 a Fw([6])p Black 26 w(de)38
|
|
4517 |
b(Bruijn,)h(N.)d(G.,)h Fy(Lambda-Calculus)k(Notation)f(with)e(Nameless)
|
|
4518 |
h(Dummies,)e(a)h(Tool)g(for)467 4922 y(A)n(utomatic)d(F)-10
|
|
4519 |
b(ormula)34 b(Manipulation,)i(with)e(Application)i(to)d(the)h(Chur)m(c)
|
|
4520 |
o(h-Rosser)i(Theor)m(em)p Fw(,)467 5035 y(Indagationes)27
|
|
4521 |
b(Math.)c Fx(34)h Fw(\(1972\),)h(pp.)e(381\226392.)291
|
|
4522 |
5096 y
|
|
4523 |
SDict begin H.S end
|
|
4524 |
291 5096 a 291 5096 a
|
|
4525 |
SDict begin 13.6 H.A end
|
|
4526 |
291 5096 a 291 5096 a
|
|
4527 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.Huet94) cvn H.B /DEST pdfmark
|
|
4528 |
end
|
|
4529 |
291
|
|
4530 |
5096 a Black 336 5234 a Fw([7])p Black 26 w(Huet,)30
|
|
4531 |
b(G.,)f Fy(Residual)k(Theory)e(in)g(Lambda-Calculus:)j(A)29
|
|
4532 |
b(Formal)i(De)o(velopment)p Fw(,)h(Journal)h(of)467 5347
|
|
4533 |
y(Functional)26 b(Programming)e Fx(4)f Fw(\(1994\),)i(pp.)f
|
|
4534 |
(371\226394.)p Black 1872 5513 a Fu(14)p Black eop end
|
|
4535 |
%%Page: 15 15
|
|
4536 |
TeXDict begin 15 14 bop 0 0 a
|
|
4537 |
SDict begin /product where{pop product(Distiller)search{pop pop pop
|
|
4538 |
version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto
|
|
4539 |
closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show
|
|
4540 |
grestore}if}{pop}ifelse}{pop}ifelse}if end
|
|
4541 |
0 0 a Black 0 TeXcolorgray
|
|
4542 |
291 -166 a
|
|
4543 |
SDict begin H.S end
|
|
4544 |
291 -166 a 0 TeXcolorgray 0 TeXcolorgray 291
|
|
4545 |
-166 a
|
|
4546 |
SDict begin H.R end
|
|
4547 |
291 -166 a 291 -166 a
|
|
4548 |
SDict begin [ /View [/XYZ H.V] /Dest (page.15) cvn H.B /DEST pdfmark
|
|
4549 |
end
|
|
4550 |
291 -166 a Black 1173 w
|
|
4551 |
Fo(Ber)n(ghofer)33 b(and)e(Urban)p Black 291 0 a
|
|
4552 |
SDict begin H.S end
|
|
4553 |
291
|
|
4554 |
0 a 291 0 a
|
|
4555 |
SDict begin 13.6 H.A end
|
|
4556 |
291 0 a 291 0 a
|
|
4557 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.Leroy06) cvn H.B /DEST pdfmark
|
|
4558 |
end
|
|
4559 |
291 0 a Black 336 83 a Fw([8])p
|
|
4560 |
Black 26 w(Lero)o(y)-6 b(,)18 b(X.,)f Fy(Formal)h(Certi\002cation)j(of)
|
|
4561 |
d(a)g(Compiler)h(Bac)n(k-End,)g(or:)g(Pr)l(o)o(gr)o(amming)g(a)f
|
|
4562 |
(Compiler)467 196 y(with)27 b(a)g(Pr)l(oof)h(Assistant)p
|
|
4563 |
Fw(,)h(in:)f Fy(Pr)l(oc.)f(of)g(the)h(33r)m(d)g(A)m(CM)e(SIGPLAN-SIGA)m
|
|
4564 |
(CT)f(Symposium)j(on)467 309 y(Principles)d(of)f(Pr)l(o)o(gr)o(amming)g
|
|
4565 |
(Langua)o(g)o(es)i(\(POPL\))c Fw(\(2006\),)j(pp.)e(42\22654.)291
|
|
4566 |
365 y
|
|
4567 |
SDict begin H.S end
|
|
4568 |
291 365 a 291 365 a
|
|
4569 |
SDict begin 13.6 H.A end
|
|
4570 |
291 365 a 291 365 a
|
|
4571 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.Nipkow-JAR01) cvn H.B /DEST
|
|
4572 |
pdfmark end
|
|
4573 |
291 365
|
|
4574 |
a Black 336 495 a Fw([9])p Black 26 w(Nipk)o(o)n(w)-6
|
|
4575 |
b(,)38 b(T)-7 b(.,)37 b Fy(Mor)m(e)h(Chur)m(c)o(h-Rosser)i(Pr)l(oofs)e
|
|
4576 |
(\(in)h(Isabelle/HOL\))p Fw(,)g(Journal)h(of)e(Automated)467
|
|
4577 |
608 y(Reasoning)25 b Fx(26)f Fw(\(2001\),)h(pp.)e(51\22666.)291
|
|
4578 |
664 y
|
|
4579 |
SDict begin H.S end
|
|
4580 |
291 664 a 291 664 a
|
|
4581 |
SDict begin 13.6 H.A end
|
|
4582 |
291 664 a 291 664 a
|
|
4583 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.Pitts03) cvn H.B /DEST pdfmark
|
|
4584 |
end
|
|
4585 |
291 664
|
|
4586 |
a Black 131 x Fw([10])p Black 26 w(Pitts,)e(A.)e(M.,)h
|
|
4587 |
Fy(Nominal)h(Lo)o(gic,)g(A)f(Fir)o(st)h(Or)m(der)g(Theory)h(of)f(Names)
|
|
4588 |
g(and)g(Binding)p Fw(,)h(Information)467 907 y(and)i(Computation)h
|
|
4589 |
Fx(186)g Fw(\(2003\),)f(pp.)g(165\226193.)291 963 y
|
|
4590 |
SDict begin H.S end
|
|
4591 |
291
|
|
4592 |
963 a 291 963 a
|
|
4593 |
SDict begin 13.6 H.A end
|
|
4594 |
291 963 a 291 963 a
|
|
4595 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.Pitts05) cvn H.B /DEST pdfmark
|
|
4596 |
end
|
|
4597 |
291 963 a Black 131
|
|
4598 |
x Fw([11])p Black 26 w(Pitts,)47 b(A.)f(M.,)g Fy(Alpha-Structur)o(al)52
|
|
4599 |
b(Recur)o(sion)d(and)f(Induction)j(\(Extended)e(Abstr)o(act\))p
|
|
4600 |
Fw(,)f(in:)467 1207 y Fy(Pr)l(oc.)40 b(of)f(the)i(18th)g(International)
|
|
4601 |
j(Confer)m(ence)e(on)e(Theor)m(em)g(Pr)l(o)o(ving)h(in)f(Higher)g(Or)m
|
|
4602 |
(der)467 1320 y(Lo)o(gics)24 b(\(TPHOLs\))p Fw(,)d(LNCS)h
|
|
4603 |
Fx(3603)p Fw(,)i(2005,)g(pp.)f(17\22634.)291 1375 y
|
|
4604 |
SDict begin H.S end
|
|
4605 |
291
|
|
4606 |
1375 a 291 1375 a
|
|
4607 |
SDict begin 13.6 H.A end
|
|
4608 |
291 1375 a 291 1375 a
|
|
4609 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.rasmussen95churchrosser)
|
|
4610 |
cvn H.B /DEST pdfmark end
|
|
4611 |
291 1375 a Black
|
|
4612 |
131 x Fw([12])p Black 26 w(Rasmussen,)f(O.,)d Fy(The)h(Chur)m(c)o
|
|
4613 |
(h-Rosser)j(Theor)m(em)e(in)f(Isabelle:)j(A)d(Pr)l(oof)h(Porting)g
|
|
4614 |
(Experiment)p Fw(,)467 1619 y(T)-6 b(echnical)25 b(Report)f(364,)g
|
|
4615 |
(Cambridge)g(Uni)n(v)o(ersity)h(\(1995\).)291 1675 y
|
|
4616 |
SDict begin H.S end
|
|
4617 |
|
|
4618 |
291 1675 a 291 1675 a
|
|
4619 |
SDict begin 13.6 H.A end
|
|
4620 |
291 1675 a 291 1675 a
|
|
4621 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.UrbanBerghofer06) cvn H.B
|
|
4622 |
/DEST pdfmark end
|
|
4623 |
291 1675
|
|
4624 |
a Black 130 x Fw([13])p Black 26 w(Urban,)55 b(C.)e(and)i(S.)e(Ber)n
|
|
4625 |
(ghofer)l(,)j Fy(A)d(Recur)o(sion)k(Combinator)f(for)f(Nominal)g
|
|
4626 |
(Datatypes)467 1918 y(Implemented)29 b(in)e(Isabelle/HOL)p
|
|
4627 |
Fw(,)h(in:)g Fy(Pr)l(oc.)f(of)g(the)g(3r)m(d)h(International)j(J)n
|
|
4628 |
(oint)d(Confer)m(ence)h(on)467 2031 y(A)n(utomated)c(Reasoning)g
|
|
4629 |
(\(IJCAR\))p Fw(,)e(LN)m(AI)e Fx(4130)p Fw(,)k(2006,)f(pp.)f
|
|
4630 |
(498\226512.)291 2087 y
|
|
4631 |
SDict begin H.S end
|
|
4632 |
291 2087 a 291 2087 a
|
|
4633 |
SDict begin 13.6 H.A end
|
|
4634 |
291 2087
|
|
4635 |
a 291 2087 a
|
|
4636 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.UrbanNorrish05) cvn H.B
|
|
4637 |
/DEST pdfmark end
|
|
4638 |
291 2087 a Black 131 x Fw([14])p Black 26
|
|
4639 |
w(Urban,)d(C.)e(and)i(M.)e(Norrish,)i Fy(A)e(Formal)i(Tr)m(eatment)g
|
|
4640 |
(of)f(the)h(Bar)m(endr)m(e)l(gt)i(Variable)f(Con)l(vention)467
|
|
4641 |
2330 y(in)27 b(Rule)g(Inductions)p Fw(,)i(in:)e Fy(Pr)l(oc.)g(of)g(the)
|
|
4642 |
g(3r)m(d)g(International)k(A)m(CM)25 b(W)-8 b(orkshop)28
|
|
4643 |
b(on)f(Mec)o(hanized)467 2443 y(Reasoning)h(about)g(Langua)o(g)o(es)h
|
|
4644 |
(with)d(V)-10 b(ariable)28 b(Binding)g(and)f(Names)f(\(MERLIN\))p
|
|
4645 |
Fw(,)e(2005,)k(pp.)467 2556 y(25\22632.)291 2594 y
|
|
4646 |
SDict begin H.S end
|
|
4647 |
291
|
|
4648 |
2594 a 291 2594 a
|
|
4649 |
SDict begin 13.6 H.A end
|
|
4650 |
291 2594 a 291 2594 a
|
|
4651 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.UrbanTasson05) cvn H.B /DEST
|
|
4652 |
pdfmark end
|
|
4653 |
291 2594 a Black
|
|
4654 |
149 x Fw([15])p Black 26 w(Urban,)f(C.)f(and)h(C.)f(T)-7
|
|
4655 |
b(asson,)27 b Fy(Nominal)h(Tec)o(hniques)h(in)e(Isabelle/HOL)p
|
|
4656 |
Fw(,)g(in:)h Fy(Pr)l(oc.)e(of)h(the)h(20th)467 2856 y(International)36
|
|
4657 |
b(Confer)m(ence)d(on)f(A)n(utomated)h(Deduction)h(\(CADE\))p
|
|
4658 |
Fw(,)29 b(LNCS)h Fx(3632)p Fw(,)i(2005,)h(pp.)467 2968
|
|
4659 |
y(38\22653.)291 3006 y
|
|
4660 |
SDict begin H.S end
|
|
4661 |
291 3006 a 291 3006 a
|
|
4662 |
SDict begin 13.6 H.A end
|
|
4663 |
291 3006
|
|
4664 |
a 291 3006 a
|
|
4665 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.Wenzel99) cvn H.B /DEST
|
|
4666 |
pdfmark end
|
|
4667 |
291 3006 a Black 149 x Fw([16])p Black 26
|
|
4668 |
w(W)-7 b(enzel,)35 b(M.,)f Fy(Isar)i(\227)e(A)f(Generic)j(Interpr)m
|
|
4669 |
(etative)j(Appr)l(oac)o(h)e(to)e(Readable)h(Formal)f(Pr)l(oof)467
|
|
4670 |
3268 y(Documents)p Fw(,)h(in:)g Fy(Pr)l(oc.)f(of)g(the)h(12th)g
|
|
4671 |
(International)j(Confer)m(ence)e(on)f(Theor)m(em)f(Pr)l(o)o(ving)i(in)
|
|
4672 |
467 3381 y(Higher)24 b(Or)m(der)g(Lo)o(gics)g(\(TPHOLs\))p
|
|
4673 |
Fw(,)d(number)k(1690)f(in)g(LNCS,)d(1999,)j(pp.)f(167\226184.)291
|
|
4674 |
3436 y
|
|
4675 |
SDict begin H.S end
|
|
4676 |
291 3436 a 291 3436 a
|
|
4677 |
SDict begin 13.6 H.A end
|
|
4678 |
291 3436 a 291 3436 a
|
|
4679 |
SDict begin [ /View [/XYZ H.V] /Dest (cite.Wenzel06) cvn H.B /DEST
|
|
4680 |
pdfmark end
|
|
4681 |
291
|
|
4682 |
3436 a Black 131 x Fw([17])p Black 26 w(W)-7 b(enzel,)54
|
|
4683 |
b(M.,)e Fy(Structur)m(ed)57 b(Induction)f(Pr)l(oofs)e(in)g
|
|
4684 |
(Isabelle/Isar)p Fw(,)j(in:)d Fy(Pr)l(oc.)f(of)h(the)g(5th)467
|
|
4685 |
3680 y(International)38 b(Confer)m(ence)d(on)f(Mathematical)i(Knowledg)
|
|
4686 |
o(e)f(Mana)o(g)o(ement)g(\(MKM\))p Fw(,)d(LN)m(AI)467
|
|
4687 |
3793 y Fx(4108)p Fw(,)24 b(2006.)p Black 1872 5513 a
|
|
4688 |
Fu(15)p Black eop end
|
|
4689 |
%%Trailer
|
|
4690 |
|
|
4691 |
userdict /end-hook known{end-hook}if
|
|
4692 |
%%EOF
|