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File: images/para_iterate_dec-eps-converted-to.pdf Graphic file (type pdf) Package pdftex.def Info: images/para_iterate_dec-eps-converted-to.pdf used on i nput line 125. (pdftex.def) Requested size: 235.73141pt x 163.96306pt. Package epstopdf Info: Source file: (epstopdf) date: 2014-07-01 08:43:07 (epstopdf) size: 10160 bytes (epstopdf) Output file: (epstopdf) date: 2014-07-01 08:47:31 (epstopdf) size: 5024 bytes (epstopdf) Command: (epstopdf) \includegraphics on input line 130. Package epstopdf Info: Output file is already uptodate. 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. 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[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. 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(./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. 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