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(1)ASAP : a protocol for symbolic computation systems Stéphane Dalmas, Marc Gaetano, Alain Sausse. To cite this version: Stéphane Dalmas, Marc Gaetano, Alain Sausse. ASAP : a protocol for symbolic computation systems. [Research Report] RT-0162, INRIA. 1994, pp.31. �inria-00070007�. HAL Id: inria-00070007 https://hal.inria.fr/inria-00070007 Submitted on 19 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 AUTOMATIQUE. ASAP a protocol for symbolic computation systems Ste´phane Dalmas Marc Gae¨tano Alain Sausse. N˚ 162 Mars 1994. PROGRAMME 2 Calcul symbolique, programmation et ge´nie logiciel. ISSN 0249-6399. apport technique. 1994.

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(134) iV]Nw4w4biVuYb•‡_NiVm4iWgqpTi)^>[#_at4/kŸx4]¤knbw4]¦•Fbk_a[Ybg¥_€o/bVgvb• oFmknuW[npvw4^¤kœi"_9gÏgvb• ,?!$#!7 '*)8, 7 %_aw/•‡knb"u#k]ašx_auYuY[npvo4j4uYbkí¢6”*4bgvb_h¨Nbk]aš]Nj4[&uWb"[Y`™ki"_aw‡o/b ]Ntb"[#_auY]>[#k Ÿ*pvuY w4] kn]Nw/kísNpvwFuYb"^Nb"[#k_aw/• _a[W[#_hm¦k%]aš\o¤mFuYbk"¢ ~§u k—4]NjFgT•(o/bw4]NuYb•uY/_au iV]>w¤uY[V_a[Ym.uY]@k—]N` bœiV]N`` ]Nw™iV]NwF¨Nb"wFunpv]Nw/k*_aw _a[npvunm)pTk%w4]Nu*_auYu#_NiW4b•.uY] _aw¡]Nt/b"[V_auY]N[¢    .Ÿx4b"[Yb (pTkj/knb•¡Ÿ*pvuY_€[npvunpvbk 4sXƒ._aw/•‡cŠp¥k&_t/b"[—šRbiVungvm¡¨9_hgqpT•‡uYb"[Y` uY]o/b&uY[#_€w/kn`.pvuYuYb2• Ã_€w/•([YbiVbVpv¨Nb•  oFm  !#"/¢ > b"[Yb)_€[Yb)kn]N` b&uW[npv¨NpT_hgXbVž/_a`  tFgvb k]aš\uYb" [Y`™ k% Ÿx [npvuYuWb"w pvw_.iV]N` `]NwªiV]Nw/iV[Yb"uYb.knmFw¤u#_9ž 1    

(135)     }¼]N[x_auYuY[npvo4j4uYb•uYb"[Y`(k"sNŸ*b&i"_aw j/knb&_&gqpTknuœ_9šRuYb"[*uY4bw/_a` b&]€šuW4b&]Nt/b"[#_€uY]N[ ©p˜u%pTk+znj/knux_.iV]Nw¤¨>b"wFp˜b"wFu w4]NuV_aunpv]Nw uY] _h¨N]apT• •F[#_hŸ*pvw4^ uY[Wb"bk - 1 . . .             !  ! "

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(137) 0  –1 b"[Yb*pTk*_&t/knb"j/•F] §iV]¦•Fb0§Ÿx4]¤k—bx` b_awFpvw4^@k—4]NjFgT• obdknuW[#_hpv^NFunšR]>[YŸx_a[#• \•FbkYiV[npvoFpvw4^ uY4bxb"w/iV]4•>pvw4^ ]a> š_.uYb"[W` 1 # hº’€µ¦» hµ(]Nj4uYt4j4u uYb"[Y` ›?u %$TŽ $'&%p˜wFuYb"^Nb"[ < §?u %  (6* µ) ]Nj4uYt4j4u p˜wFuYb"^Nb"[ §?u  ]Nj4uYt4j4u ŸxFpvuYb - µ %TŽí+µ $'&*oFp˜w/_€[Ym <.§u   (6*µ ) ]Nj4uYt4j4u oFp˜w/_€[Y;m §?u  ]Nj4uYt4j4u ŸxFpvuYb - µ %TŽíµ $'&x_auYuY[—p˜o4j4uWb2 • < ›?u \  (6*µ ) ]Nj4uYt4j4u _€uYuY[npvo4j4uYb u#_a^ - ]Nj4uYt4j4u ]>t/b"[#_auW]N[ §]Nt/b"[V_auY]N[ §?u  ]Nj4uYt4j4u ŸFp˜uWb - ]Nj4uYt4j4u pvwFuYb"^Nb"[ ›w¤j4`.o/b"[ ]aš _auWuY[npvo4j4uYbk §u - ]Nj4uYt4j4u ŸFp˜uWb - ]Nj4uYt4j4u pvwFuYb"^Nb"[ n_a[npvunm ?u  &§º;, p $-) ¥ƒN¢v¢ÑwFj4`.o/b"[ ]aš _€uYuY[npvo4j4uYbk ›?u 

(138) »

(139) º ]Nj4uYt4j4u _auYuY[npvo4j4uY.b n_auYuY[npvo4j4uYb w/_a` >b §us>4p - . . . ÝFß¡åZY€ù—ç\[. .

(140) ƒ"‰. . #  #. # '  #%=

(141) B  # \'.  . ]Nj4uYt4j4u ŸxFpvuYb- ]Nj4uYt4j4u uYb"[Y` Ã_€uYuY[npvo4j4uYb ¨9_hgvj4b §us>p4- ]Nj4uYt4j4u ŸxFpvuYb- µ*)» &§º; µ %CŽ"µ ]Nj4uYt4j4u ]>t/b"[#_auW]N[ §]Nt/b"[V_auY]N[*u? ]Nj4uYt4j4u ŸFp˜uWb - ]Nj4uYt4j4u pvwFuYb"^Nb"[ n_a[npvunm ?u  ]Nj4uYt4j4u ŸFp˜uWb - µ*)

(142) » $'& &›º6p,$ ) ¥ƒN¢v¢ÑwFj4`.o/b"[ ]aš kn]Nw/k ›?u 

(143) »

(144) º ]Nj4uYt4j4u uYb"[Y` Ãkn]N/w §uhsa4p - µ*)

(145) » &›º6 µ*)» $ & µ*)»­]Nj4uYt4j4u uYb"[Y` ”*4b&šj4w/iVunpv]Nw‡]Nj4uYt4j4u ŸxFpvuYb -xknb"w/•4k&_(knt/_NiVb@iW/_a[#_>iVuYb"[¢;”*4b&šj4w/iVunpv]Nw‡]Nj4uYt4j4u _auYuY[—p˜o4j4uWb uV_a^ knb"w/•4k_k—t/biWpT_hg)iY/_a[V_NiVuYb"[.j/knb•°uY]¡pT•Fb"w¤u—pϚm _auYuW[npvo4j4uYb•°]Nt/b"[V_auY]N[#>k §]4iVu#_hg  !/¯ 343xiV]4•Fbª‹Nc V¢X”*4b šj4w/iVunpv]Nw/k\]>j4uYt4j4u pvw¤uYb"^>b"=[ §?u #sa]Nj4uWt4j4u ]Ntb"[#_auY]>?[ §]N/t 

(146) _aw/•.]Nj4uWt4j4u _auWuY[npvo4j4uYb -X_a[Wbÿ•FbkWiV[npvo/b•pvw™uW4b š]agqgv]9Ÿÿp˜w4^ knj4o/knbiVu—p˜]>w

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