Mechanical Verification of a Generic Incremental ABR Conformance Algorithm
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Mechanical Verification of a Generic Incremental ABR Conformance Algorithm Michaël Rusinowitch , Sorin Stratulat , Francis Klay. N˚3794 Novembre 1999. ISSN 0249-6399. ISRN INRIA/RR--3794--FR+ENG. THÈME 2. apport de recherche.
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(321) ²gWgGsrpusrZx6ZdMg¬gWMZ~Mg srygIygW¶g x g {2pu{|w®y®¯gWg gW7su {|b{|yX y ypuf X gydq {w oGdZ{|{w{|oZ)oa{h{|Mt|suypu'vwdMvDg ~Mg 'q)Z6gWt {2 y~Mg prg qo srgy x g su gWsrg ygW¿Ï[® Np}f¹{|su g ¬ydq{woÂydMg+6{2yg 'tw®Uydqg+ÆZynx g su@pro ] c_a F zydMgWo ¹²pusr@²puoÂt2Dg twoMsuÀ{2®yg VX ²dMgWo¹ydMg¬²proZt2² x
(322) two y6{|puoq@ydMgz~Moqpu ~Mgnx
(323) g su dqg oqx g x {|o¹Bg¬x6dMgI~MsugWN{|y bX ¿#Ï[® c puUydMgzÆqy yx {Ddqg su{|2#o {|o ~qyx6 {wd7 Mvwfhg ytDdZtw~q{2y g t2®¯tww@gWydM² gg5 ~qx {|{|g oqo7@ ydqdM{2t2Qy@,.² ydMydZgzF{2,x y)tw o {|ysug Ñatwp}s~qpuqyo WyÃZgIg {2~My®P{wg x o Qg,.y)x {|x6yoZdqdMx
(324) gWg g sM6~M{w{2sugWsryqgx
(325) {|6tw{2ygWo ygI@y tDx6²srdMuprgWgIsu7ó~MZ{2sugy¬gWhyf¹dM{2g y{|suprro gWF,y gW ydq®P{w{D{woqx
(326) o gsup}{| yFgW, Q¿U{|,.oqc dMdMgWgWg ooqMx
(327) prs}g+y){wx pug f¹yfh{|dMsutDgWfg g a{~Moqpu ~Mgx g su F, ¿ pª® ' ] `_a 3 F] `_a F [X ydMg o ´'´puoqgWsrg g yyg®¯[twX f ydMg¿ x
(328) gWsr}²pªydypufg .X Ãq{woq ] `_a 2 g s}g sug
(329) y ZgydMgx
(330) gWsr²pryd7fhpuoMprf¹{w.s !~qx6dGydq{2y {|oZ ´'´sug
(331) puy oqgW sr
(332) óg g yBygg ®¯ Q
(333) tw,.f pª ®@¿ yprdMy)gpux
(334) gWMsrg
(335) }ÆqoM²gIpª7yd{|oqypu f[gX '
(336) tw{wyoqdM gW²p}gw¿@cdMg o 2¬{|~Msu~M¬gIvwt {w{| sypuo_dqg5ydqg g ®¯g g g f¹oq{|x pugoM{wpuoMsrvDvNtwt|pª®ydMydMf g ¨q{wx
(337) ZIÃgWzp=¿ gDp}¿ yt dMt2²;ydq{2y¬ydMg+proZx
(338) g fhg o y{ws{wsrvDtwpªydMf½¨x W Mg suprDg 6ydMg{wfhg{|yg %. %. ). +. %. +. %. 4$&% ' ) -. %$ ' % -. %. 0),+. ),+. ),+. ). $&%. /$ %. ' ). -. $&% '*) -. 3. ),+. $&%('*),+.%. $&%('*),+.-.
(339) ),+. +. $ -. ),+. $*$&%(' ) +.-. 4%. % 3 %. -. +. %$. +. $ '*% /3 - -. $ % /3 '*),+.4$&% *' ) % %. %. 3. ),+.
(340) ),+. ) + $% ' ) -. % /3.
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(342) ¾ , 3 , ' , 45 67( ̨zsªg+ydMtwgI~MvDx dÂpuBUg ÍpuÎÂo_{DydMp}fhnpªy6gIxy{GputwdMo7puvwydqdMg g ´=tDÍnÎÀgWzBZgWx
(343) gIprx
(344) ÆZprÆZxW{2x {|ypuytwputwoZoÂ)t|s}{|®oqyvwdM~qg+{w¨vwgx n² {wgoqM_g su¨prBx
(345) g I6 {2{|yg suvwsu_tDprygIdqyfhp}zxygWg
(346) _ÆqoqtD~MgW_g puo·suwgIÎagIxyytputw{woMMi¹su_{|oqtwÂoMsuM ¿ Æq{h6ÆZy´[twy6´[tw6g g ®¯gW{|yydM~Mg tDgWgWftw®´=MydMt2p}wgWsu{w'oMpuoÀvw~Z{¹{|vwfhgDtw¿@cgdM{|g~MytwgI{wf¹{|twyop}xpu ² y{QdqD{2ÃMy)pä¿tDgw~M¿²oMprg
(347) yd_Ñay)sugWvDtD{|pusóoMp}M ~yy6t¹)q®¯twt2f¼DgzyydMdMgg5~ZgW gW~MWpu¿ 2{|ϵsuo7g oqyx dMg¬gydMBg gWtDx pªgWÆBf¼x {2y²prtDpryod à yydMdMgg¹y2a{|Bpug {wMt|sr®@gIoM tD ow´[à oM g |v à {2yÃpuwGg{|gWg+{wsuoMztDpu¬o´[oMg g oMv tw{2yygIpuw7g+ gI{|oMs}tD Ã.oMoM 'g p}v5{GsugIp {|y5s¯Ã&t|{N®x x
(348) g g susuY}np}){woqg MgWpug 5o {ygI7x
(349) gW{wsr=z¿h{NcqdM{|ghpu)g t|®¯®Ug oqg twoqox ´[g oMyg tv {2{ypr®¯D~Mgnoqx
(350) gWy{wputwsuWo à ®¯twf¼ydMgUÍÎ7BgWx pªÆZxW{2yprtDop})gWoMt|ygW Gg fhMsut2 puoMv 5®¯tDo yW¿ ; . .
(351) 3. 3. %. ). !#"%$&$')( *+ ,.-0/ 123141"%5 687 " 9:$<;=1423114"%54687 "%9:$&> ? L @ ; ? A ;CBD; EF'HG:IJK1423141"%5 687 " 9:$ 'HG3I JK$&M&NCO:/ !%"#$P$&> Q 'HG:I JK!%"%$&$. ydMhgp}cnx g dMvwsugNzgW®¯{|~Mtyoqx g x
(352) ¬x~qyyprtDdZoqpr{|oqo+v¹Mpr wo_gI¿ygWcdMo gdMygWg¹srp}yhg puyo @ndqy²dq{QpuDpusr+g5@BygIdMghxg yprpufhytwpuofhMsupug
(353) g fh´[fhQM{wg suo srg ~qyfhgWgWzg o {wy twnyysrdMgIp}7gyW{wpro·¿srvDctwgWdMpªx gydMgI²f¹{wpuoqproM¨v¹t2x
(354) ²0tD+ZM{|{|oqg I6{|ÃZfh{|¨oZg
(355) x WyWg N!D6!~qoqy¹dMg g+{w oq²y dMproqgM ¹x
(356) t2tw{w²oZgqpª{w{|y6MprtD{|MoqfhgW g
(357) y{wg ! {wvD~Mfhg o ytw®Yydqg®¯~MoqxyprtDoqS R 4 g|à (k"à T$2{|oq (VU7qgIgWoDygWproÀÎagIxyprtDo7ih{woqq¿ 3. 3. -. 3. 3. [ Q]\^\ Q`_ba!vc_edKgf Q`_kV ycdMdMggÆq®¯6~MoZyzxx ytwputwfhoZZStDhIoMg 4%&o y
(358) Ãjt|®i{¹Gx
(359) {|gWoZsr&/ydq0{2y) ² gkg5hx {|{|suóg+pry~ZygIprÀfhpug
(360) oÀ´[2y{|dqsu~Mghg M g
(361) ÆqoMpryputwoZ¬tw®'¨x
(362) 5{woq¨x WD¿cdqg+®¯~qoqxyprtDoÀypufhghg y~Moq WYXDZ. ö¯òYöÿ. -.
(363) .
(364) !" " # "$%&" ' ()+*-,. / %& 01( 23 456%. M )" BD;=E 'H1423114"%54687 "%9:$ - B . . . cdMg®¯~qoqxyprtDo ? 'g
(365) y~Moq&ydqggIx
(366) tDoq¬x twfhBtwoMgWoDytw®M{x
(367) g suwxW{|surgI¬pry{|yg
(368) ´[2{|su~Mg +. . . B#;CE ' 123141"%5 687 " 9:$- E . Dt gWW_ ¿ÏµocE ydqpuF nxW{wpu+gw{_ò MgngW²p}pux s Y{|ygh{QNydZy{2dqy {|y/g
(369) #yp}~M){oZ 4c%& e )gd p » [y 4dM 3gN2ysrprp}fhyWg
(370) ¿ ´[2{|su~MgWt|®ydMgx
(371) g su}puo ){|gNtDygWpuo-gWx gI{wproMv yϵfho»dMgWgN{DydM~qgg
(372) ÆZg5UoMÍngW®¯~qÂλoq®¯xsu~My{woqproMtDx
(373) vwo_y~Zputwy{|to¶vwgDZpuÃYng+y~qdMgWg7x gI~MÀx
(374) twoZpuw~Mgypu²oM~qv¹x
(375) dMyprytDsugdq5g ydMtwMgh®zta{À³Dt|g ®@suap tw²'y¹MtDsu{|p vD{2g y prtD oqÂydq{|{2oq·y puoqdMtDp}~Mx {2s}_y¿ÂgWZ¬cgydMdZg{2p}y5³wx6gWdqy dq{w² gvDtwg gW6ÑMpuoÀgItwpu6twoÀg )®¯tDysrt-ut2²dMZput2oMgI²ÉvGx
(376) prÆqyprydZgW {2punyzydZyydMdM{2ggy ytDdqgWx {2~MygWt|®&puwgWygsudq{|gn®¯y~Mputwoqog x
(377) ÆqypupuoMtwgIo¶g ¹ÑpuMgIsrp}x
(378) ²'x
(379) ~MprgWy6srsuG´[prDMgg
(380) ZÆq®¯gI~MoMx
(381) oqgIprÆqóxgWy¿Gpr7tDcoN{|dM®y²g¹g pryfhdNygIdMy{wg5dMgz~M³wgWg gaÑM²'x
(382) ®¯g ~MtDMoZyxpuytwpuo¹two-ydq{2dMy tDpª~My6&su¿ 6{|BoMgNvDgg
(383) yÆZaoMZgWgn¶puMprfhg aMpusutwp}~qx
(384) prysusuw ¿¹Ï[ y twpu vwoq4{| y~Mghf¹{2Ã2yprx6®dqoMgWt ydMg@ϵ®¯o ~Moqyx
(385) dMygputwogWx
(386) y~qdq{2yYprDg'g
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(388) Ã2ÆqydMoMg gIng fhproMysudMt2wgUgIUÍfhÎngWM{DgW~qsr~Zg'pugysudMg oMgWtwvwywdY¿ 6« ä
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(392) yputwo7puzg
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(394) dqy~qtD goMgIygW prfhx
(395) ~qsup}g
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(398) g)ysrpugItw;oGiMXtD¿@ Ï[gW y P ~qg
(399) {w2ysa~Mydqoq{wo !DprUoN{su; p}wÃwyUX pry®& dMQg~q¿x6ÆqÌd¹6g{5y²x
(400) x gWg prsusrsuqW{wg
(401) ÃwÑMsupu+g
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(403) ´[2{|su~Mgt|®aydqgUx
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(408) yg FgWsu '}ytadqxW{| x
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(410) {QprytDw~Mo g)oq35ydM 4 gn'My¿®¯pufhtwfÉg
(411) ´[QÎ{wgWsrx~qygWprtDo twi QyprgWyYNx
(412) twpro7fhMgW~Mx ygWgI{wydMproqg@v f¹tw{|6ÑapugWf¹W{|Ãas|{|6oq{2Gyg
(413) y´[dq2gn{|su²~Mgpuoqt|V® t2AB²;!)qC.{|E 6F{| fhg
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