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-\@writefile{loe}{\contentsline {Proof}{\numberline {9}Preuve}{26}{Proof.9}} -\bibstyle{apalike} -\bibdata{abbrev,biblioand} -\bibcite{Bah00}{Bahi, 2000} -\bibcite{BCV02}{Bahi and Contassot-Vivier, 2002} -\bibcite{BCVC10:ir}{Bahi et~al., 2010} -\bibcite{BM99}{Bahi and Michel, 1999} -\bibcite{Cha06}{Chandrasekaran, 2006} -\bibcite{CGK05}{Couchot et~al., 2005} -\bibcite{Hol03}{Holzmann, 2003} -\bibcite{RC07}{Richard and Comet, 2007} -\bibcite{Wei97}{Weise, 1997} diff --git a/main.bbl b/main.bbl deleted file mode 100644 index 7754142..0000000 --- a/main.bbl +++ /dev/null @@ -1,53 +0,0 @@ -\begin{thebibliography}{} - -\bibitem[Bahi, 2000]{Bah00} -Bahi, J.~M. (2000). -\newblock Boolean totally asynchronous iterations. -\newblock {\em International Journal of Mathematical Algorithms}, 1:331--346. - -\bibitem[Bahi and Contassot-Vivier, 2002]{BCV02} -Bahi, J.~M. and Contassot-Vivier, S. (2002). -\newblock Stability of fully asynchronous discrete-time discrete-state dynamic - networks. -\newblock {\em IEEE Transactions on Neural Networks}, 13(6):1353--1363. - -\bibitem[Bahi et~al., 2010]{BCVC10:ir} -Bahi, J.~M., Contassot-Vivier, S., and Couchot, J.-F. (2010). -\newblock Convergence results of combining synchronism and asynchronism for - discrete-state discrete-time dynamic network. -\newblock Research Report RR2010-02, LIFC - Laboratoire d’{I}nformatique de - l'{U}niversit\'{e} de {F}ranche {C}omt\'{e}. - -\bibitem[Bahi and Michel, 1999]{BM99} -Bahi, J.~M. and Michel, C. (1999). -\newblock Simulations of asynchronous evolution of discrete systems. -\newblock {\em Simulation Practice and Theory}, 7:309--324. - -\bibitem[Chandrasekaran, 2006]{Cha06} -Chandrasekaran, N. (2006). -\newblock Verifying convergence of asynchronous iterative algorithms based on - lyapunov functions. - -\bibitem[Couchot et~al., 2005]{CGK05} -Couchot, J.-F., Giorgetti, A., and Kosmatov, N. (2005). -\newblock A uniform deductive approach for parameterized protocol safety. -\newblock In Redmiles, D.~F., Ellman, T., and Zisman, A., editors, {\em ASE}, - pages 364--367. ACM. - -\bibitem[Holzmann, 2003]{Hol03} -Holzmann, G.~J. (2003). -\newblock {\em The SPIN Model Checker: Primer and Reference Manual}. -\newblock Addison-Wesley, Pearson Education. - -\bibitem[Richard and Comet, 2007]{RC07} -Richard, A. and Comet, J.-P. (2007). -\newblock Necessary conditions for multistationarity in discrete dynamical - systems. -\newblock {\em Discrete Applied Mathematics}, 155(18):2403--2413. - -\bibitem[Weise, 1997]{Wei97} -Weise, C. (1997). -\newblock An incremental formal semantics for {PROMELA}. -\newblock In {\em SPIN97, the Third SPIN Workshop}. - -\end{thebibliography} diff --git a/main.blg b/main.blg deleted file mode 100644 index 2fbfa3d..0000000 --- a/main.blg +++ /dev/null @@ -1,49 +0,0 @@ -This is BibTeX, Version 0.99d (TeX Live 2013/Debian) -Capacity: max_strings=35307, hash_size=35307, hash_prime=30011 -The top-level auxiliary file: main.aux -The style file: apalike.bst -Database file #1: abbrev.bib -Database file #2: biblioand.bib -Warning--empty note in Cha06 -You've used 9 entries, - 1935 wiz_defined-function locations, - 586 strings with 5930 characters, -and the built_in function-call counts, 3380 in all, are: -= -- 334 -> -- 114 -< -- 9 -+ -- 41 -- -- 35 -* -- 268 -:= -- 590 -add.period$ -- 27 -call.type$ -- 9 -change.case$ -- 60 -chr.to.int$ -- 9 -cite$ -- 10 -duplicate$ -- 136 -empty$ -- 250 -format.name$ -- 50 -if$ -- 665 -int.to.chr$ -- 1 -int.to.str$ -- 0 -missing$ -- 8 -newline$ -- 47 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- -File: images/chao_iterate_excerpt-eps-converted-to.pdf Graphic file (type pdf) - -Package pdftex.def Info: images/chao_iterate_excerpt-eps-converted-to.pdf used -on input line 130. -(pdftex.def) Requested size: 177.2126pt x 93.8509pt. - -Overfull \hbox (10.51457pt too wide) in paragraph at lines 130--131 -[][] - [] - - -Overfull \hbox (59.69626pt too wide) has occurred while \output is active -\OT1/phv/m/n/10.95 8 \OT1/phv/m/sl/10.95 CHAPITRE 2. COMBINAISONS SYNCHRONES E -T ASYNCHRONES DE SYST[]EMES BOOL[]EENS - [] - -[8 <./images/xplgraphmix-eps-converted-to.pdf>]) [9 <./images/para_iterate_dec- -eps-converted-to.pdf> <./images/chao_iterate_excerpt-eps-converted-to.pdf>] -[10 - -] -Chapitre 3. -(./modelchecking.tex -Package hyperref Info: bookmark level for unknown xpl defaults to 0 on input li -ne 8. -Package epstopdf Info: Source file: -(epstopdf) date: 2014-06-28 16:34:41 -(epstopdf) size: 7803 bytes -(epstopdf) Output file: -(epstopdf) date: 2014-06-28 16:35:22 -(epstopdf) size: 4536 bytes -(epstopdf) Command: -(epstopdf) \includegraphics on input line 33. -Package epstopdf Info: Output file is already uptodate. - - -File: images/xplCnxMc-eps-converted-to.pdf Graphic file (type pdf) - - -Package pdftex.def Info: images/xplCnxMc-eps-converted-to.pdf used on input lin -e 33. -(pdftex.def) Requested size: 113.81102pt x 33.44815pt. - -Underfull \hbox (badness 10000) in paragraph at lines 35--35 -[]\OT1/phv/m/sc/10.95 Figure \OT1/phv/m/n/10.95 3.2 { []Graphe - [] - -LaTeX Font Info: Try loading font information for OMS+phv on input line 80. -(/usr/share/texlive/texmf-dist/tex/latex/psnfss/omsphv.fd -File: omsphv.fd -) -LaTeX Font Info: Font shape `OMS/phv/m/n' in size <6> not available -(Font) Font shape `OMS/cmsy/m/n' tried instead on input line 80. - -Underfull \vbox (badness 10000) has occurred while \output is active [] - - [11 <./images/xplCnxMc-eps-converted-to.pdf>] -LaTeX Font Info: Try loading font information for OT1+txtt on input line 95. - - -(/usr/share/texlive/texmf-dist/tex/latex/txfonts/ot1txtt.fd -File: ot1txtt.fd 2000/12/15 v3.1 -) -LaTeX Font Info: Font shape `OT1/txtt/m/it' in size <10.95> not available -(Font) Font shape `OT1/txtt/m/sl' tried instead on input line 127. - - [12] -LaTeX Font Info: Try loading font information for OML+phv on input line 198. - - -(/usr/share/texlive/texmf-dist/tex/latex/psnfss/omlphv.fd -File: omlphv.fd -) -LaTeX Font Info: Font shape `OML/phv/m/n' in size <6> not available -(Font) Font shape `OML/cmm/m/it' tried instead on input line 198. - -Underfull \hbox (badness 10000) in paragraph at lines 253--253 -[]\OT1/phv/m/sc/10.95 Figure \OT1/phv/m/n/10.95 3.6 { []Process - [] - - -Underfull \vbox (badness 10000) has occurred while \output is active [] - - [13] - -Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): -(hyperref) removing `math shift' on input line 303. - - -Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): -(hyperref) removing `math shift' on input line 303. - -[14] -Underfull \hbox (badness 3482) in paragraph at lines 497--499 -[]\OT1/phv/m/n/10.95 sinon, on af-fecte []a []\OT1/txtt/m/n/10.95 Xd[j].v[i] \O -T1/phv/m/n/10.95 la va-leur m[]emoris[]ee dans le ca-nal - [] - -[15] -Underfull \hbox (badness 2261) in paragraph at lines 515--523 -[]\OT1/phv/m/n/10.95 L'introduction de l'ind[]eterminisme []a la fois dans les -fonc-tions []\OT1/txtt/m/n/10.95 fetch_values \OT1/phv/m/n/10.95 et - [] - -LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <8> not available -(Font) Font shape `OT1/phv/b/n' tried instead on input line 575. -Package hyperref Info: bookmark level for unknown theorem defaults to 0 on inpu -t line 575. -[16] -Package hyperref Info: bookmark level for unknown Proof defaults to 0 on input -line 605. - [17] -Underfull \hbox (badness 10000) in paragraph at lines 776--779 -[]\OT1/phv/m/sl/10.95 Quid de ceci?[] \OT1/phv/m/n/10.95 La conver-gence des it -[]erations asyn-chrones de - [] - - -Underfull \hbox (badness 1303) in paragraph at lines 776--779 -\OT1/phv/m/n/10.95 l'exemple [[]] n'est pas []etablie lorsque pour $\OML/txmi/m -/it/10.95 ^^N[]$ \OT1/phv/m/n/10.95 vaut 1. Il ne peut - [] - -Package epstopdf Info: Source file: -(epstopdf) date: 2014-06-30 13:31:45 -(epstopdf) size: 51342 bytes -(epstopdf) Output file: -(epstopdf) date: 2014-06-30 13:34:16 -(epstopdf) size: 9444 bytes -(epstopdf) Command: -(epstopdf) \includegraphics on input line 782. -Package epstopdf Info: Output file is already uptodate. - -File: images/RC07ce-eps-converted-to.pdf Graphic file (type pdf) - - -Package pdftex.def Info: images/RC07ce-eps-converted-to.pdf used on input line -782. -(pdftex.def) Requested size: 189.10796pt x 340.27386pt. - -Underfull \hbox (badness 10000) in paragraph at lines 815--825 -[]\OT1/phv/m/n/10.95 Des m[]ethodes de si-mu-la-tion bas[]ees sur des strat[]eg -ies et des d[]elais - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 815--825 -\OT1/phv/m/n/10.95 g[]en[]er[]es al[]eatoirement ont d[]ej[]a []et[]e pr[]esent -[]ees [[], - [] - - -Underfull \hbox (badness 4792) in paragraph at lines 815--825 -[]\OT1/phv/m/n/10.95 ]. Ce-pen-dant, comme ces im-plan-ta-tions ne sont - [] - -) [18] [19 <./images/RC07ce-eps-converted-to.pdf>] [20] -Annexe A. -LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <14.4> not available -(Font) Font shape `OT1/phv/b/n' tried instead on input line 187. - -LaTeX Warning: Reference `th:Adrien' on page 21 undefined on input line 187. - -(./annexesccg.tex -Package hyperref Info: bookmark level for unknown lemma defaults to 0 on input -line 17. - - -LaTeX Warning: Reference `th:Adrien' on page 21 undefined on input line 63. - -[21 - -]) - -Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): -(hyperref) removing `math shift' on input line 190. - - -Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): -(hyperref) removing `subscript' on input line 190. - - -Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): -(hyperref) removing `math shift' on input line 190. - - -Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): -(hyperref) removing `math shift' on input line 190. - - -Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): -(hyperref) removing `math shift' on input line 190. - -(./annexecontinuite.tex) -Underfull \hbox (badness 4279) in paragraph at lines 46--192 -\OT1/phv/m/n/10.95 Pour conclure, pour tout $\OML/txmi/m/it/10.95 ^^O > \OT1/tx -r/m/n/10.95 0$\OT1/phv/m/n/10.95 , $\OMS/txsy/m/n/10.95 9 \OML/txmi/m/it/10.95 -T[] \OT1/txr/m/n/10.95 = [](\OML/txmi/m/it/10.95 t[]; t[]; t[]\OT1/txr/m/n/10.9 -5 ) \OMS/txsy/m/n/10.95 2 \U/txsyb/m/n/10.95 N[]\OMS/txsy/m/n/10.95 8\OML/txmi/ -m/it/10.95 t > - [] - -(./annexePromelaProof.tex [22] -Underfull \hbox (badness 10000) in paragraph at lines 52--58 -[]\OT1/phv/m/n/10.95 Let us show how to make the in-de-ter-mi-nism in-side the -two func-tions - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 52--58 -[]\OT1/txtt/m/n/10.95 fetch_values \OT1/phv/m/n/10.95 and []\OT1/txtt/m/n/10.95 - diffuse_values \OT1/phv/m/n/10.95 com-pliant with ([]2.2[]). The func-tion $\O -ML/txmi/m/it/10.95 M[]$ - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 52--58 -\OT1/phv/m/n/10.95 is ob-tai-ned by the suc-ces-sive up-dates of $\OML/txmi/m/i -t/10.95 M[]$ \OT1/phv/m/n/10.95 through the two func-tions - [] - - -Overfull \hbox (237.9212pt too wide) has occurred while \output is active -\OT1/phv/m/sl/10.95 A.3. PREUVE DE CORRECTION ET DE COMPL[]ETUDE DE L'APPROCHE - DE V[]ERIFICATION DE CONVERGENCE []A L'AIDE DE SPIN \OT1/phv/m/n/10.95 23 - [] - -[23] -Underfull \hbox (badness 10000) in paragraph at lines 82--86 -[][]\OT1/phv/b/n/10.95 Lemme $[]$ \OT1/phv/m/n/10.95 (Exis-tence of SPIN Exe-cu --tion)\OT1/phv/b/n/10.95 . []\OT1/phv/m/sl/10.95 For any se-quences $\OT1/txr/m -/n/10.95 (\OML/txmi/m/it/10.95 S[]\OT1/txr/m/n/10.95 )[]$\OT1/phv/m/sl/10.95 , - [] - - -Underfull \hbox (badness 4429) in paragraph at lines 118--123 -[]\OT1/phv/m/sl/10.95 Next, the first call to the func-tion []\OT1/txtt/m/n/10. -95 fetch_value \OT1/phv/m/sl/10.95 ei-ther as-si-gns the head of - [] - - -Underfull \hbox (badness 1874) in paragraph at lines 125--131 -[]\OT1/phv/m/sl/10.95 For the last item, let $\OML/txmi/m/it/10.95 k$\OT1/phv/m -/sl/10.95 , $\OT1/txr/m/n/10.95 0 \OMS/txsy/m/n/10.95 ^^T \OML/txmi/m/it/10.95 -k \OMS/txsy/m/n/10.95 ^^T \OML/txmi/m/it/10.95 n \OMS/txsy/m/n/10.95 ^^@ \OT1/t -xr/m/n/10.95 1$\OT1/phv/m/sl/10.95 . At the end of the first exe-cu-tion - [] - - -Underfull \hbox (badness 10000) in paragraph at lines 125--131 -\OT1/phv/m/sl/10.95 of the []\OT1/txtt/m/n/10.95 update_elems \OT1/phv/m/sl/10. -95 pro-cess, the va-lue of []\OT1/txtt/m/n/10.95 Xp[k] \OT1/phv/m/sl/10.95 is - [] - - -Underfull \hbox (badness 5504) in paragraph at lines 125--131 -\OML/txmi/m/it/10.95 F\OT1/txr/m/n/10.95 ([]\OML/txmi/m/it/10.95 k[]; [] ; []k[ -]n \OMS/txsy/m/n/10.95 ^^@ \OT1/txr/m/n/10.95 1[])$\OT1/phv/m/sl/10.95 . Thus, -by de-fi-ni-tion of $\OML/txmi/m/it/10.95 Xd$\OT1/phv/m/sl/10.95 , it is equal -to - [] - - -Underfull \hbox (badness 5022) in paragraph at lines 154--164 -[]\OT1/phv/m/sl/10.95 if $[]\OT1/txr/m/n/10.95 (\OML/txmi/m/it/10.95 M[]\OT1/tx -r/m/n/10.95 ) = \OMS/txsy/m/n/10.95 f\OT1/txr/m/n/10.95 0\OMS/txsy/m/n/10.95 g$ - \OT1/phv/m/sl/10.95 and $\OMS/txsy/m/n/10.95 9\OML/txmi/m/it/10.95 k : k \OMS/ -txsy/m/n/10.95 ^^U \OML/txmi/m/it/10.95 l \OMS/txsy/m/n/10.95 ^ \OML/txmi/m/it/ -10.95 D[] \OT1/txr/m/n/10.95 = \OML/txmi/m/it/10.95 l$ \OT1/phv/m/sl/10.95 is e -s-ta-bli-shed then - [] - - -Underfull \hbox (badness 1917) in paragraph at lines 154--164 -\OML/txmi/m/it/10.95 M[]\OT1/txr/m/n/10.95 (0)$ \OT1/phv/m/sl/10.95 is $\OT1/tx -r/m/n/10.95 ([]\OML/txmi/m/it/10.95 ; l; c[]\OT1/txr/m/n/10.95 )$ \OT1/phv/m/sl -/10.95 that is ad-ded in the []\OT1/txtt/m/n/10.95 diffuse_values \OT1/phv/m/sl -/10.95 func-tion s.t. - [] - -[24] -Overfull \hbox (237.9212pt too wide) has occurred while \output is active -\OT1/phv/m/sl/10.95 A.3. PREUVE DE CORRECTION ET DE COMPL[]ETUDE DE L'APPROCHE - DE V[]ERIFICATION DE CONVERGENCE []A L'AIDE DE SPIN \OT1/phv/m/n/10.95 25 - [] - -[25]) [26] (./main.bbl) [27 - - -] [28 - -] (./main.lof) -\tf@lof=\write7 -\openout7 = `main.lof'. - - [29] [30 - -] (./main.lot) -\tf@lot=\write8 -\openout8 = `main.lot'. - - -showing upmdefinition -[31] [32 - -] (./main.loe) [33] [34 - -] [35] - -pdfTeX warning: pdflatex (file ./spimufchdr-backpage.pdf): PDF inclusion: found - PDF version <1.6>, but at most version <1.5> allowed - -File: spimufchdr-backpage.pdf Graphic file (type pdf) - - -Package pdftex.def Info: spimufchdr-backpage.pdf used on input line 204. -(pdftex.def) Requested size: 600.04684pt x 900.02122pt. -LaTeX Font Info: Font shape `OT1/phv/bx/n' in size <12> not available -(Font) Font shape `OT1/phv/b/n' tried instead on input line 204. - - -Package glossaries Warning: \makeglossaries hasn't been used, -the glossaries will not be updated. - - -Package glossaries Warning: No \printglossary or \printglossaries found. -This document will not have a glossary. - 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