2016-12-01ãã1ã¶æéã®è¨äºä¸è¦§
æ»æ²¢ã«ã¬ã³ããã®å¤ãªæ¥æ¬èªã2015å¹´ã«è©å¤ã«ãªã£ãããã§ãããããã2017å¹´ã§ããã©ã ã¢ãã«ãã¬ã¹ 2015-10-06: ééãé£çºã®æ¥æ¬èªã話é¡ã« åã¯ç¥ããªãã£ãã®ã§ããã©ããªæ¥æ¬èªã ã£ããã ããï¼ãã¨YouTubeãæ¢ãããéå»ã®åç»ããã£ããããã¾ããâ¦
æ¨æ¥æ¸ããè¨äºããããã¼ãã£ã¼ããé¨ããããå°ãé 使ã£ã¦èãã¦ã¿ããããã®ãªãã§ï¼ ãããããæ¹å¤ï¼å¦å®ãã¦ãã対象ã§ããããã¼ãã£ã¼ãã£ã¦ä½ãªã®ï¼ å³å¯ãªå®ç¾©ãããªãã¦ããããããã©ããªã¤ã¡ã¼ã¸ãæã£ã¦ããã®ãç¥ãããã§ãããã©ãããããªâ¦
å²ã¨æè¿ã次ã®è¨äºãããã¯ãã¼ã¯ã¨æ³¨ç®ãéããããã§ãã è¥æããã°ã©ãã¼ä¿åçï¼ããã¼ãã£ã¼ãå¾¹åºè§£èª¬ã¨ä½æã«ã³ãã³ã°ãã¼ãã¼ è¦ãåã«äºæ³ããããã«ããä½è¨ã£ã¦ãã !? ã³ã¤ãããã¢ãããã«ããçãªæ±ãã§ããããé°å²æ°ã¨ãã¦ã¯ãããã¡ãªãã·â¦
Mizarã®å¦çç³»ã¯ã¾ã£ãã使ãã«ããã§ãããã®ä½¿ãåæã¯æ¥µæªã§ãããããã«ãé¢ãããåãææ ¢ãã¦ä½¿ããã¨ãã¦ããã®ã¯ãMizarã®æ§æã¨æå³ã¢ãã«ãç´ æ´ãããããã§ããæé«ã§ãããç¹ã«ãä»ã®è¨¼æç³»ã®ã¿ã¯ãã£ã¯è¨èªã®é£èªãã«è¾æãã人ã«ã¯ææ¿ããã§â¦
Mizarã¯ãéåè«ã¨ä¸éè¿°èªè«çãçµã¿è¾¼ã¿ã§æã£ã¦ãã¾ããä½ããªãæããï¼from scratchï¼ãéåè«ï¼ä¸éè¿°èªè«çã«ããæå³ã®ããå®çãè¨è¿°ããã®ã¯å´åããããéãã¦ç¾å®çã§ã¯ããã¾ãããä»å±ã®ã©ã¤ãã©ãªMMLï¼Mizar Mathematical Libraryï¼ã«é ¼ããâ¦
証ææ¤è¨¼ç³»Mizar試ç¨å ±åã第ä¸å¼¾ã§ããã証ææ¤è¨¼ç³»Mizarã®ã¸ã¬ã³ãã¨è¨¼æç³»ã®æãã«ã¦ï¼ Mizarã®é£ããã¯ãè¨èªä»æ§ãã¢ãã«ã«èµ·å ããã¨ããããã¯ãã·ã¹ãã ã®æ©è½ãå¤èããã¦å¤å¤§ãªã¹ãã¬ã¹ãå¼·ããç¹ã«ããã¾ãã[...snip...]ããã£ãããªããªã¼ã¼ãâ¦
証ææ¤è¨¼ç³»Mizarã試ããå°è±¡ã®ç¶å ±ã§ããå å®¹ï¼ ãããã¯ã²ã©ã!ããããããã¯ç´ æ´ããã!!ã Mizarã³ãã¥ãã㣠Mizarã®å¯è½æ§ ãããã¯ã²ã©ã!ããããããã¯ç´ æ´ããã!!ãMizarã®è§£èª¬ã«ãããµã³ãã«ã³ã¼ãã¯ã»ã¼åãã¾ãã*1ãåã試ããç¯å²ã§ã¯ã²ã¨â¦
Mizarã¯è¨¼ææ¤è¨¼ç³»ã§ããå½¢å¼çãªè¨¼æè¨è¿°è¨èªã¨ãã®å¦çç³»ã¨ããæ¬ãã§ã¯CoqãIsabelleã®ä»²éã§ããã対話çã§ã¯ãªãã®ã§ä½¿ãåæã¯ã ãã¶éãã¾ããã¨ããããã¤ã³ã¹ãã¼ã«ãã¦ä½¿ã£ã¦ã¿ã¾ããããå å®¹ï¼ ã¤ã³ã¹ãã¼ã« 使ã£ã¦ã¿ã ææ³ ã¤ã³ã¹ãã¼ã«Mizarã®â¦
ããã³ããªã¼ï¼ãªã¼ãåã¨ã«ã¦ããã³ã®ã¹ã±ã¤ã³é¢ä¿å¼ãã«ããã¦ãããã¶ãæç«ããã ãããã¿ãããªãã¨ãå¹¾ã¤ãæ¸ãã¦ãã¾ãããã®ã²ã¨ã¤ã«æ¬¡ã®éä¼´æ§ãããã¾ãã k-LinCat(Link(C), D) Cat(C, U(D)) ããã§ãk-LinCatã¯k-ç·å½¢åã®åã§ããLink(-)ã¯åãªâ¦