The Three Gap Theorem : Specification and Proof in Coq
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Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. The Three Gap Theorem:Specification and Proof in Micaela Mayero. No 3848 D´ecembre 1999. ISSN 0249-6399. ISRN INRIA/RR--3848--FR+ENG. ` THEME 2. apport de recherche.
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(94) OXC. ! X (. ,=:7- > ,=:05G- 0 0 H+* ,:4- , A0@F5; /[email protected] >! 05 :/.,F5 > 0 , A0@F5; /[email protected] >! 05 :/.,F5 B, M$8>.69G ,3/:46 G >3, A8@ G- 00 , :05G- 0 00 0 < IM.M95 - I;,! FG?69; .K1=,K1B>54- 0 , >(1 >54- 0 , :7- > 0 H+*-,=:7-> 0 H=* , 1B>5E- 0 =, :7- 0 H+*-=, :7- 0 H=* ,:7- , A0@ 5; 4/[email protected] 4>! E5 :4/., 5Q> 0 , AE@F5; 4/[email protected] 4> 05 :4/E,5 0 0 H+* 0 ( (6, A0@ 5; 4/[email protected] 4> 05.:4/0,F5 , 50A0- IE@ > 0 0 H+* , A0@F5; 4/[email protected] 4>! 050:4/0,5 ,:7- , A0@ 5; 4/[email protected] 4>! E5 :4/., 5 , 50A0-FIE@ > 0 0 , A0@ 5; 4/[email protected] 4>! E5 :/.,F5 ;0 0 IM.M95 - I;,! FG?69; ./K1=, K1B>54- 0 , >(1 >54- 0 , :0I B, M$8?>.6 G , A8@ G- 00 > 0 H+* , :7- >3=, :E5G- 0 0 H=* 0 , 9 1B>57- ' =, :72 , :7 0 2 , :7- , A0@ 5; 4/[email protected] 4>! E5 :/., 5 > 0 , A0@F5; /[email protected] >! 05 :4/0,F5 0 0 2 , :7- , A0@ 5; 4/[email protected] 4>! E5 :/., 5 ;0 , A0@ 5; 4/[email protected] 4>! E5 :4/., 5 , M$8?>.69G , /:469G > , A 8@ G- 0 0 =, :05G- 0 0 0 0 0 H+* -. -. <. 5 :FG7I<. ! . 0 =, :EI ,BM$8?>069G , A 8@ G- , :7- >3,=:E5G- 0 0 H=* , 1B>5E- 0 , ,=:4- 0 2 ,=:7- 0 2 ,:7- , A0@ 5; 4/[email protected] 4>! E5 :/., 5 > 0 , A0@F5; /[email protected] >! 05 :4/0,F5 ,:7- , A0@ 5; 4/[email protected] 4>! E5 :/., 5 ;0 , A0@ 5; 4/[email protected] 4>! E5 :4/., 5 , M$8?>.69G , /:469G > , A 8@ G- 0 0 IM.M95 IED 050A0- IE@ ./ "1+, " >(1L>57- 0 =, :7- > 0 H+*-, :7->3, M$8?>.69G , 50AE-FIE@ , / 0 > 0 (6, 50A0-FIE@> 0 < IM.M95 IED 050A0- IE@ ./ 1+, " >(1L>57- 0 ,=:0I ,=:05FG- 0 > 0 H+*-, :7-># , 50AE-FIE@ , / 0 > 0 (6, 50A0-FIE@> 0 <. - IM.M95. -. -. 0 ,3>K1B>. +,. - I;, FG?69; ./ X1 K1B> 5E-. 5E-. 0 0 > 0 +H * 0 0. 2. ,=:05G, A 8?@. 0 0 0 0 0 < 0 00 H+*. G-. 0 +H *. . 0> /[email protected] 80;6:057@K< . . " % ". . ". . $. . " #" . $). . HJIfN `pILnxN_N¤Y\XZXWY£ VZUL[(XZN_MM-b\g ^ Y\nxnxNGgpv<Y]Ufw(`xY(`xILN `pIfnpNGNaXZN_UL[\`pIfg Yc`pILNt[]b\vfg_® Nt^_b\U´gjNGN `pI<b` b\XWX `xILN&vDY\VZU>`xgtYco`xILN{^_VWny^ XZN{b\npN(`xbc¯]N_UVZU>`pYb]^_^_Y\eLU>`GD£ ILVd^yI©MNGb\Ufg`xIfb`T`pIfN&N °CVdgr`xN_Uf^_N&Y\ b-¤Y\efnj`xI XZN_Uf[c`pIVdg VWMvDY]gxgjVZkLXZN\®. . . I;-98C7> , @ I.I< /CE-E,IG 0 8 G 5 :4/.,F5 8@.@%1 3> K / 1 4M 6:4- 5 :4/.,F5 / /CE-E,IG 0 8 G / F @ C7/ 05 :4/.,F51 F:75.:4/.,5 2 :4-5 :/. , 5 /CE-E,IG 0 8 G / F @ C7/ .K1 %1B>5EJ I <. . +,. +, " +, ,. 0,. 0 1, . 3, , . 0. ,. 00 0. , . 0 0 ( (6, . 0 0. <. >. 0 <. UWV X \ UZY.
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