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User Guide to the CTCOQ Proof Environment

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(1)User Guide to the CTCOQ Proof Environment Janet Bertot, Yves Bertot, Yann Coscoy, Healfdene Goguen, Francis Montagnac. To cite this version: Janet Bertot, Yves Bertot, Yann Coscoy, Healfdene Goguen, Francis Montagnac. User Guide to the CTCOQ Proof Environment. [Technical Report] RT-0210, INRIA. 1997, pp.63. �inria-00069961�. HAL Id: inria-00069961 https://hal.inria.fr/inria-00069961 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 EN AUTOMATIQUE. User Guide to the. . Proof Environment. J. Bertot, Y. Bertot, Y. Coscoy, H. Goguen, and F. Montagnac. N˚ 0210 Octobre 1997. THÈME 2. ISSN 0249-0803. apport technique.

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(113) '„iwh Zl ' ° ou\_)a ; 4C  ƒZrZkwk Z(l '„h  kjlŽp JiwhZmpDh s;p ¢>iwhZm _kja s »pDh ou\_a :=< 4 4?>@5A?B"3=CD ƒZrZkwk Zl '„h  `aEhyRr 0Jiw{+a nEo+a Xa JiwouiwhZm =§ ]¶`’ƒ,l@{uo pDh†o*l@ƒZouijl@h_s*lD£»ou\Zijs7`aEhyr pD{+agou\_al@ƒZouijl@h_s  @54?>=> ' ° :  (' ° pDh  6 <=<  § +5476. 6.. +CBD %>@?/-EI%L I . . 0 90 I. ][ \_a 7ŸHg —¡ iwh†o+aE{}£Àp@n a%ƒZ{+lÔ¢†i Za sFs+aE¢ŽaEh N>iwh Zs lD£ '„iwh Zl('#sq§[]\_a WBX Y<Y.? Z

(114) '„iwh Zl(' s+rZƒZƒ,l@{uo+sa JiwouiwhZm pDh Ñs+nE{uiwƒZo`OpDiwh†o+aEh“pDh_n aM§ []\_a ;>=@? =  '„iwh Zl' JijsuƒZk pqt>sOou\_aŠnErZ{u{+aEhyo kwijs+oOlD£!mŽlŽpDkjs JrZ{uiwhZm mŽlŽpDk Jiw{+a nEo+a  ƒZ{+l†lD£Àsq§ []\_a;  ? 

(115) 

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(117)   + ?A=  B Z

(118) X  B'„\Ziwkja7ou\_a7`l@r_s+a7ijs]iwh ou\_[a WBX Y<Y.? Z

(119) '„iwh Zl '*:§ ]¶o5ijs pDkjs+l„ƒlMs+suiwvZkjao+l NŽa aEƒou\_a»n l@hyo+aEhyo+slD£Zou\_a ;  ? (

(120) 

(121) R X g Y  '„iwh Zl ' iwh¦p  % ?    ?  Y  Z = '„iwh Z(l ' v†tBo t>ƒZiwhZm  <  QX [

(122)   ? =  B Z

(123) X  '„\Ziwkja ou\_a `l@r_s+a/ijs7iwh¦ou\_a ;  ? 

(124) 

(125) R X g Y  '„iwh Zl '*§*‚  X(X <=  =:'„iwh Zl 'nqpDhva/nE{+aqpDo+a  '„\_aEh ou\_agr_s+aE{#{+a x†r_a suo+s„ou\_ago+a 3Jo-lD£—ou\_agƒZ{+l>lD£lD£pžou\_a l@{+aE`  vytBo t>ƒZiwhZm  £¤l@{  Z = iwhF9p '„iwh Zl ' '„\_aE{+agp*ou\_a l@{+aE` Æs]h“pD`a-ijs]s+aEkja nEo+a  l@c{ '„\_aEhBou\_a-r_s aE{ {+a x†r_a suo+s€ou\_a-o+a 3Jo lD£½ou\_a7nErZ{u{+aEh†o]ƒZ{+l†lD£  vyto¶t†ƒZiwhZm   iwh ou\_a WBX Y<Y.? Z

(126) '„iwh Z(l ' =§  ‚  X(?  '„iwh Zl ' nqpDh pDkjs l vagl@ƒ,aEh_a Bv†tOo¶t†ƒZiwhZm  ) '„\Ziwkjagou\_a!s+aEkja nEouijl@hFijs„l@hŠpDhŠa 3Ja nErZo+a Fn l@`’`OpDh ŠlD£ pDh rZh _hZijs+\_a FƒZ{+l†lD£1pDh Fou\_a!`l@r_s agiwhŠou\_Va WBX Y<Y.? Z

(127) '„iwh Zl '*§ Hp@suo ° ou\_a€sut>s+o+aE` pDkjs+l)ƒZ{+lq¢>i Za s1p W  Z =@?      ?   '„iwh Zl ' ° '„\_aE{+a]aE{u{+l@{ ° '€pD{uhZiwhZm ° l@{ iwhJ£¤l@{u`OpDouijl@h `a s+s pDmŽa s€pD{+a JijsuƒZk p tŽa o+l!\_aEkwƒr_s+aE{+srZh ZaE{+suo pDh ou\_a#sur_n n a s+s»l@{£¸pDiwkwrZ{+a lD£ ou\_aEiw{)p@nEouiw¢>iwo tŽ§ S_l@{»¢>ijsur“pDkwi 5 iwhZm’pDh a JiwouiwhZmžn l@`’`OpDh Zs ° r_s+aE{+s '„iwkwk,`lMsuoukwt '»l@g{ N.'„iwou\   =    '„iwRh 0 Zl '#sq§

(128).

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(130) '„iwh Zl'Ñ\“p@s1p)ƒZ{uiw¢†iwkjaEmŽa ’s+o pDour_sq§ []\_a  % ?    ?  Y  Z =R'„iwh Zl('#s nE{+aqpDo+a £¤{+l@`ou\_a ;  ? 

(131) 

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(133) ‰qˆ. .  =@X =  =@X =   WBX 

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(136). +54,+.   

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(138) pDh ;>=@?A=  „' iwh Zl' ° l@{-r_suiwhZmOou\_a ŽN aEt†vlŽpD{ ¦p@n n aEkjaE{ pDo+l@{+s Za s nE{uiwv,a FvaEkjl(' „ ' \_aEhŠou\_ag`l@r_s+a!ijs„iwhFou\_a ;>=@? =  „' iwh Zl*' §   8  ! § ~»\“pDhZmŽa sou\_aŠnErZ{u{+aEhyo surZvZmŽlŽpDk-o+l ou\_aŠh_a>3 oOl@h_aM§ []\_aŠnErZ{u{+aEhyo surZvZmŽlŽpDk5h_a a Zs#o+lžva!suƒa nEi “a  „' \_aEh l@h_a!r_s a s9  X(X 98 % 8 PX Z>= Z  £¤{+l@`¥ou\_a<;  ? (

(139) 

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