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Strategy for Verifying Security Protocols with Unbounded Message Size

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(1)Strategy for Verifying Security Protocols with Unbounded Message Size Yannick Chevalier, Laurent Vigneron. To cite this version: Yannick Chevalier, Laurent Vigneron. Strategy for Verifying Security Protocols with Unbounded Message Size. [Research Report] RR-4368, INRIA. 2002, pp.18. �inria-00072220�. HAL Id: inria-00072220 https://hal.inria.fr/inria-00072220 Submitted on 23 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Strategy for Verifying Security Protocols with Unbounded Message Size Yannick Chevalier — Laurent Vigneron. N° 4368 Janvier 2002. ISSN 0249-6399. ISRN INRIA/RR--4368--FR. THÈME 2. apport de recherche.

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(111) r{]_ahmg_hjr{hvtukO«|g_l¬ kmaq‡_noa0lu¡aqtop#]1†_€„hjgiphj†$tuk  r„]_hmxhmxr„]_a plogXr{aqgGr#xlu¡r{]_hvxPx{aqp)r{hmlogy¦ »sghm‡_agXr{hj±ia€³£«Gaz2lo€¯gXwi`7}=a€¶µ r{]itur¯hvxsgilur¯hmgtug|z2hjgih¥r„hmtok«|g_l¬ kmaq‡ nGa

(112) ¬ hjkmk}$awixŸaR‡tox¯t  ,g*-),+hjg_¡£lo€„`tur{hmlogy§=p)€„aqtur{aq‡ turhjr„xf±$€„xŸrfw$xŸaG¦­¼r

(113) hvx¯†=lGx„x{hj}_kma0r{l2nohmow a 5;*-)$)$t -9*-)hjg1r{]_ahmg_hjr{hvtuk[«|g_l¬ kmaq‡ nGalo¡©t2†_€{hmgiphj†itok[toxfkjlGg_n¨toxtukmk[hm‡_agXr{hj±ia€#x to†_†$aRtu€„hjgin0hmgr{]_a

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(115) }=l ‡ zlo¡r„]_a

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(117) œ`aRtugixr„]_a `aqx„x„tunoa0 ag$p)l ‡ aP}|zr„]_aP«Gaz : ¦\]iaPagipl ‡ hjgin

(118) hmx©xŸw_†i†$lXxŸaR‡0r{l

(119) }=ast

(120) †_w_}ikjhvp

(121) †_€{hmtr„a «oazagipl ‡ hjgin

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(124) tox„xŸw_`=a  tug$ ‡  to€{a¯rƒ¬ la²|†i€{aRx{x{hjlGgix©lu¡yr„]_a

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(126) |hjaq¬lu¡[r{]ia†_€„lo†=lGx{aq‡2†_€„lur{l plokI§$tug$‡MtrPr„]_hmxs†$lGhjgXrf¬©a7x{]_lGw_km‡¨}=a7to}_kjar{l €„w_gžr{]ia!†_€„lur„l|plokI| ¦ dPl¬ aoaq€q§6r{]_a`l|‡_aklo¡PtM†_€„hjgiphj†$tukhvxgilurplo`†_kma)r{aG¸¬©a]itGar{l1p#]_aqp#«Ár{]itur7r{]ia°†_€„lur{l plokOhvx plo€„€{aRp¶r tugi‡2€„w_g_gito}_kjaG§ }|z°oaq€{hj¡£z|hjg_n0r„]_a

(127) aGlokmw r{hmloglu¡r{]_a

(128) «|g_l¬ kmaq‡ nGa¯lo¡aRtop#]†_€{hmgiphj†itok@¦ /.. €%n€. &ˆÉ. ? „„A@ ˆ>†Œ0@CBDB †AEF@ ƒ?„ ‡†9 Yˆ A‰. \]_a«|g_l¬ kjaR‡ noa

(129) lo¡"r{]_a†_€{hmgiphj†itokmxPhjgÁt°†_€{lor{l p)lGkyhvxstukm¬tz|x p#]$tug_nGhjg_n$¦sƯg_a]itGx r{l!oa€„hj¡£z!r„]itr¯tokjk6r{]_a`aqx„x{tonoaqxsptug }=ap)lG`0†=lGx{aq‡2tug$‡2x{agXrr{l0r„]_a

(130) €{hmno]Xr †=a€#xŸlGgy§|r{lnGwitu€#tugXr{aqaPr„]_a

(131) †_€„lur{l plokTptog2}=a

(132) €„w_gy¦ \]_a

(133) «|g_l¬ kmaq‡_noaflu¡"aqtop#]†itu€{r{hvp)hm†itogGrPpqtug2}$a‡ aRp)lG`0†=lGx{aq‡hmgGr„lr{]_€„aa†ito€Ÿr#x¸ y r{]_a

(134) hmg_hjr{hvtuky«|g_l¬ kmaq‡_noao§ ‡ aRp)kvtu€„aq‡!hjg2r{]ia

(135) †_€{lor{l p)lGk@§ y r{]_atGp~Xw_hm€{aR‡°«|g_l¬ kmaq‡ nGao§ lG} r„tohjg_aR‡!}|z!‡_aqp)lG`†$lXxŸhjr{hmlog2lu¡r{]_a€„aqpahmoaq‡`aqx„x{tonoaRx§ y r{]_a

(136) nGag_aq€„tur{aR‡°«|g_l¬ kmaq‡ nGao§ p)€„aqtur{aq‡!¡£lo€Pplo`†=lGx{hjg_nt0`aqx„x{tonoa³Õ¡£€„aqx{]¨«Xgil¬ kjaR‡ noaµ¶¦ » †_€„lur„l|plokhmxplo€„€{aRp¶rq§W¬ hjr{]À{aRxŸ†=aqp)r¯r„l!r„]_ahjgih¥r„hmtokOxŸ†=aqph¥±$pqtr„hjlGgy§ytugi‡Á€{wig_gitu}ikja0h¥¡ aqtGp#]†_€„hjgiphj†$tuk[ptog1p)lG`†$lXxŸa r„]_a

(137) `aqx„x{tonoaqx hjrPhmx x{w_†_†=lGx{aq‡!r{l°x{ag$‡T\¦ e_lG€x{lo`a`aqx„x{tonoaRx§|†_€„hjg$p)hm†itukvx¬ hjkmkywix{a†itu€{r„xlo¡6r„]_a

(138) €{aRp)aqhjGaq‡°`aRx{x„tunGaqxq¦"º|l$§ t!†_€{hmgiphj†itok]$toxsr{l!wi†=‡_tur{ah¥r#x¯«|g_l¬ kmaq‡_noa7tGxsx{lXlGgÁtoxsh¥r€„aqp)aqhjGaqx¯t°`aqx„x{tonoaG¸©hjrf]$toxsr{lxŸr{lG€{ar{]_a0g_a¬œhmg ¡£lG€{`tr„hjlGgy§ togi‡!p#]_aRp#«h¥¡h¥rPptog!}=a¯w$xŸaR‡¡£lo€ ‡ aRp)l ‡ hmg_n0lokv‡!p)hm†_]_aq€„xf³£hI¦ ao¦ †ito€Ÿr#xlo¡6€{aRp)aqhjGaq‡°`aRx{x„tunGaqxOhjrPp)lGw_km‡!g_lur ‡ aRp)l ‡ af}$aRptuw$xŸa hjrs‡ hv‡gilurP]itGasr„]_a

(139) €{hmno]Xr «oaqz_µ¶¦ ÒÒØ. ~€D‚ƒ.

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(141).

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(143) †_€{lor{l p)lGk@¦O\]ia

(144) «Xgil¬ kjaR‡ noalu¡7 }$a¡£lo€„a

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(146) hvx tox„x{hjnGg_aq‡!r{laqtGp#]hmg ¡£lG€{`tr„hjlGgy¦ Äslur{a¨r„]itr¬ ]_ag tᣀ„aqx{] hv‡ aqgGr„h¥±$a€Á³´«oazG§©gilogipao<§ ;;;#µhvxagiplow_gXr„a€„aq‡ ¡£lo€r{]iaM±i€#xƒrr„hj`ao§ tžw_gihm~Xw_aMg_aq¬ r„a€„`¢hvx tow r{lG`tur{hvptokjkmz°noaqg_a€#tr„aq‡T¦ »¯xr{]_a

(147) `aRx{x„tunGa &]itox r„l}$ax{agXr }| z  trPxƒr„a† e §_tug|z°†_€„lo}ikjaq` ¬ hjkmkynGag_aq€„tur{at7¡´tohjkmw_€„ahjg2r{]ihmx¡£wigip¶r„hjlGgy¦ ­®g¨to‡_‡_h¥r„hjlGg!r„l0}=ahmg_ntu}ikja¯r{lp)lG`†$lXxŸa¯r{]_a

(148) `aRx{x„tunGaqxq§Xt0†_€„hjg$p)hm†itukW]itGx tukvxŸlr{l0}$ato}_kma¯r„lGa€„h¥¡£z°r{]_ahmg ¡£lo€„`tr{hmlog €„aqpahmoaq‡2hmgM`aqx„x{tonoaqxq¸Ohj¡[h¥rshvxsx{w_†_†=lGx{aq‡r„l°€{aRp)aqhjGatogMhjg_¡£lo€„`tur{hmlog¨hjr¯tukm€{aRto‡ z!«Xgil¬Px§$h¥rs]$toxr„l!p#]_aqp#«!r{]_hvxPhvx €„aqtokjkmz r„]_a2x„tu`aG¦Á» †_€„hmgip)hm†ituk tukvxŸlÁ«Xgil¬Px

(149) r{]iax{]itu†=a°lu¡ r„]_a!`aRx{x„tunGaqx

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(151) ‹_¸O\]ia¯¡£wigip¶r„hjlGg1cMa/<cP?

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(153) w_g_«|g_l¬ g¨p)hm†_]_aq€„x to€{a€„a†_kvtopaq‡}Xz!to€{hvtu}ikjaRx¦ Äslur{a7r{]ituKr : xŸr„togi‡_xP¡£lo€¯t!†_w_}_kmhvp«oaqzo>§ :  ¡£lo€ft†_€„hjtr„a7«Gazž³£†=lGx„xŸhm}_kmz!r„]_€{lGw_no]¨r„]_a7w$xŸalu¡tr#tu}_kmaRµ)§=togi‡ & : ¡£lG€PtxŸz|``a)r{€„hvp¯«Gaz°lG€ t0plo`†=low_gi‡r„a€„`2¦ \]_aRxŸaPtokjnGlo€„h¥r„]_`xP³´togi‡lur„]_a€#x#µ"tu€„a hm`†_kma`agXr{aR‡hmX g >T@<BFVRS ¦\]ihmx©p)lo`†_hmkma€pqtugr{]ia€„a)¡£lo€„anoaqg_a€#tr„a €{aq¬ €{hjr{a €„w_kmaqx r„]itrP`l ‡ akyr{]_a

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