This is pdfeTeX, Version 3.141592-1.21a-2.2 (Web2C 7.5.4) (format=latex 2009.4.25) 8 JUN 2011 09:52 entering extended mode **all (./all.tex LaTeX2e <2003/12/01> Babel and hyphenation patterns for american, french, german, ngerman, b ahasa, basque, bulgarian, catalan, croatian, czech, danish, dutch, esperanto, e stonian, finnish, greek, icelandic, irish, italian, latin, magyar, norsk, polis h, portuges, romanian, russian, serbian, slovak, slovene, spanish, swedish, tur kish, ukrainian, nohyphenation, loaded. (/Users/cp/Library/TeX/texmf/tex/latex/latexlib/llncs.cls Document Class: llncs 2002/01/28 v2.13 LaTeX document class for Lecture Notes in Computer Science (/Users/cp/svn/hilbertbernays/trunk/article.cls Document Class: article 1999/01/07 v1.4a Standard LaTeX document class (/Users/cp/Library/TeX/texmf/tex/latex/latexlib/size10.clo File: size10.clo 2000/05/19 v1.4b Standard LaTeX file (size option) ) \c@part=\count79 \c@section=\count80 \c@subsection=\count81 \c@subsubsection=\count82 \c@paragraph=\count83 \c@subparagraph=\count84 \c@figure=\count85 \c@table=\count86 \abovecaptionskip=\skip41 \belowcaptionskip=\skip42 \bibindent=\dimen102 ) (/Users/cp/Library/TeX/texmf/tex/latex/latexlib/multicol.sty Package: multicol 2000/07/10 v1.5z multicolumn formatting (FMi) \c@tracingmulticols=\count87 \mult@box=\box26 \multicol@leftmargin=\dimen103 \c@unbalance=\count88 \c@collectmore=\count89 \doublecol@number=\count90 \multicoltolerance=\count91 \multicolpretolerance=\count92 \full@width=\dimen104 \page@free=\dimen105 \premulticols=\dimen106 \postmulticols=\dimen107 \multicolsep=\skip43 \multicolbaselineskip=\skip44 \partial@page=\box27 \last@line=\box28 \mult@rightbox=\box29 \mult@grightbox=\box30 \mult@gfirstbox=\box31 \mult@firstbox=\box32 \@tempa=\box33 \@tempa=\box34 \@tempa=\box35 \@tempa=\box36 \@tempa=\box37 \@tempa=\box38 \@tempa=\box39 \@tempa=\box40 \@tempa=\box41 \@tempa=\box42 \@tempa=\box43 \@tempa=\box44 \@tempa=\box45 \@tempa=\box46 \@tempa=\box47 \@tempa=\box48 \@tempa=\box49 \c@columnbadness=\count93 \c@finalcolumnbadness=\count94 \last@try=\dimen108 \multicolovershoot=\dimen109 \multicolundershoot=\dimen110 \mult@nat@firstbox=\box50 \colbreak@box=\box51 ) \c@chapter=\count95 LaTeX Font Info: Redeclaring math symbol \Gamma on input line 360. LaTeX Font Info: Redeclaring math symbol \Delta on input line 361. LaTeX Font Info: Redeclaring math symbol \Theta on input line 362. LaTeX Font Info: Redeclaring math symbol \Lambda on input line 363. LaTeX Font Info: Redeclaring math symbol \Xi on input line 364. LaTeX Font Info: Redeclaring math symbol \Pi on input line 365. LaTeX Font Info: Redeclaring math symbol \Sigma on input line 366. LaTeX Font Info: Redeclaring math symbol \Upsilon on input line 367. LaTeX Font Info: Redeclaring math symbol \Phi on input line 368. LaTeX Font Info: Redeclaring math symbol \Psi on input line 369. LaTeX Font Info: Redeclaring math symbol \Omega on input line 370. \tocchpnum=\dimen111 \tocsecnum=\dimen112 \tocsectotal=\dimen113 \tocsubsecnum=\dimen114 \tocsubsectotal=\dimen115 \tocsubsubsecnum=\dimen116 \tocsubsubsectotal=\dimen117 \tocparanum=\dimen118 \tocparatotal=\dimen119 \tocsubparanum=\dimen120 \@tempcntc=\count96 \fnindent=\dimen121 \c@@inst=\count97 \c@@auth=\count98 \c@auco=\count99 \instindent=\dimen122 \authrun=\box52 \authorrunning=\toks14 \tocauthor=\toks15 \titrun=\box53 \titlerunning=\toks16 \toctitle=\toks17 \c@theorem=\count100 \c@case=\count101 \c@conjecture=\count102 \c@corollary=\count103 \c@definition=\count104 \c@example=\count105 \c@exercise=\count106 \c@lemma=\count107 \c@note=\count108 \c@problem=\count109 \c@property=\count110 \c@proposition=\count111 \c@question=\count112 \c@solution=\count113 \c@remark=\count114 \headlineindent=\dimen123 ) (./body.tex (/Users/cp/svn/hilbertbernays/trunk/amssymb.sty Package: amssymb 2002/01/22 v2.2d (/Users/cp/svn/hilbertbernays/trunk/amsfonts.sty Package: amsfonts 2001/10/25 v2.2f \@emptytoks=\toks18 \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 132. )) (/Users/cp/svn/hilbertbernays/trunk/headernamesrest.tex (/Users/cp/svn/hilbertbernays/trunk/specialfonts.tex)) (/Users/cp/Library/TeX/texmf/tex/latex/latexlib/header.tex (/Users/cp/svn/hilbertbernays/trunk/headerhot.tex \disp=\skip45 \textwidthminustwomm=\skip46 \textwidthminushalfcm=\skip47 \textwidthminusonecm=\skip48 \textwidthminustwocm=\skip49 \textwidthminusfourcm=\skip50 \textwidthminussixcm=\skip51 \yinibox=\box54 ) (/Users/cp/Library/TeX/texmf/tex/latex/latexlib/headerproof.tex)) (/Users/cp/Library/TeX/texmf/tex/latex/latexlib/header10pt.tex) (/Users/cp/svn/hilbertbernays/trunk/headerforformulas.tex) (/Users/cp/svn/hilbertbernays/trunk/headersugarterms.tex) (/Users/cp/Library/TeX/texmf/tex/latex/latexlib/headerbiblio.tex (/Users/cp/svn/hilbertbernays/trunk/url.sty \Urlmuskip=\muskip10 Package: url 2005/06/27 ver 3.2 Verb mode for urls, etc. ) Doc. St. `headerbiblio', , copyright Dr. C.-P. Wirth \mybibitemsep=\skip52 ) (./specialheader.tex) (./all.aux) \openout1 = `all.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 14. LaTeX Font Info: ... okay on input line 14. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 14. LaTeX Font Info: ... okay on input line 14. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 14. LaTeX Font Info: ... okay on input line 14. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 14. LaTeX Font Info: ... okay on input line 14. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 14. LaTeX Font Info: ... okay on input line 14. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 14. LaTeX Font Info: ... okay on input line 14. LaTeX Info: Redefining \cite on input line 14. LaTeX Font Info: Try loading font information for U+msa on input line 25. (/Users/cp/svn/hilbertbernays/trunk/umsa.fd File: umsa.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for U+msb on input line 25. (/Users/cp/svn/hilbertbernays/trunk/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for OMS+cmr on input line 25. (/Users/cp/svn/hilbertbernays/trunk/omscmr.fd File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions ) LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <9> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 25. Overfull \hbox (1.3326pt too wide) in paragraph at lines 61--124 [] [] [] [] [1 ] Overfull \hbox (2.21048pt too wide) in paragraph at lines 126--141 []\OT1/cmr/m/n/10 In Walther(1994) we can read the fol-low-ing about prov-ing i n-duc-tive theorems: [] LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <10> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 167. Overfull \vbox (4.33105pt too high) has occurred while \output is active [] [2] Underfull \vbox (badness 5105) has occurred while \output is active [] [3] [4] Overfull \hbox (2.19667pt too wide) in paragraph at lines 449--457 []\OT1/cmr/m/n/10 The de-sign of in-fer-ence steps be-comes pos- [] [5] [6] [7] Overfull \hbox (0.81578pt too wide) in paragraph at lines 743--782 []$ $[]$ [] Underfull \hbox (badness 1635) in paragraph at lines 899--932 \OMS/cmsy/m/n/10 8\OML/cmm/m/it/10 i[]\OT1/cmr/bx/n/10 N\OML/cmm/m/it/10 : H[] []H[]$ \OT1/cmr/m/it/10 im-plies that $[][]$ must be valid. More gen-er-ally, [] [8] [9] [10] [11] [12] Overfull \hbox (5.21053pt too wide) in paragraph at lines 1520--1526 \OT1/cmr/m/n/10 The an-a-lytic ap-proach even per-mits a slightly stronger con- clu-sion via Co-rollary11[]: [] [13] [14] [15] [16] [17] [18] Overfull \vbox (0.86172pt too high) has occurred while \output is active [] [19] [20] Underfull \hbox (badness 2343) in paragraph at lines 2513--2513 []\OT1/cmr/m/n/9 Ul-rich Fraus (1993). \OT1/cmr/m/it/9 A Cal-cu-lus for Con-di- tional In-duc-tive Theorem Prov-ing. [] Underfull \hbox (badness 1005) in paragraph at lines 2515--2515 []\OT1/cmr/m/n/9 Bern-hard Gram-lich (1989). \OT1/cmr/m/it/9 In-duc-tive Theore m Prov-ing Us-ing Re-fined Un-fail-ing [] Underfull \hbox (badness 1831) in paragraph at lines 2525--2525 []\OT1/cmr/m/n/9 Claus-Peter Wirth, Bern-hard Gram-lich (1993). \OT1/cmr/m/it/9 A Constructor-Based Ap-proach [] Underfull \hbox (badness 6316) in paragraph at lines 2525--2525 \OT1/cmr/m/it/9 for Positive/Negative-Conditional Equa-tional Speci-fi-ca-tions . \OT1/cmr/m/n/9 3[]CTRS1992, [] [21] (./all.aux) ) ) Here is how much of TeX's memory you used: 5497 strings out of 94501 60443 string characters out of 1176137 137504 words of memory out of 1500000 8095 multiletter control sequences out of 10000+50000 22934 words of font info for 84 fonts, out of 1200000 for 2000 1142 hyphenation exceptions out of 8191 29i,33n,29p,346b,335s stack positions out of 5000i,500n,6000p,200000b,5000s Output written on all.dvi (21 pages, 100868 bytes).