Agda2 ã§å‡ºä¼šã†ã€ŒçŸ›ç›¾ã®è¨¼æ˜Žã€ã¨ã®æˆ¦ã„æ–¹ã¯ã˜ã‚ã« ã“ã®è¨˜äº‹ã¯ Theorem Proving Advent Calendar 2011 ã®10日目ã®è¨˜äº‹ã§ã™ã€‚ 1 日目㮠pi8027 ã•ã‚“ã® Agda2 ã®ç´¹ä»‹è¨˜äº‹ ãŒã‚ã‚Šã¾ã—ãŸãŒã€ç§ã‚‚「ä¾å˜åž‹é–¢æ•°åž‹ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°è¨€èªž Agda2 ã€ã«ã¤ã„ã¦ãŠè©±ã—ã—ã¾ã™ã€‚ Agda2 ã¯ä¾å˜åž‹é–¢æ•°åž‹ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°è¨€èªžã§ã‚ã‚‹ã¨åŒæ™‚ã«ã€ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã‚’対話的ã«æ”¯æ´ã™ã‚‹ Emacs 上㮠major-mode ãŒä»˜ã„ãŸé–‹ç™ºç’°å¢ƒã§ã‚‚ã‚ã‚Šã¾ã™ã€‚ã¾ãŸã€ä¾å˜åž‹ã§ã‚ã‚‹ãŒæ•…ã«è«–ç†ã¨ã®å¯¾å¿œãŒã¤ãã€å®šç†è¨¼æ˜Žç³»ã¨ã—ã¦ã®ä½¿ã„方もã§ãã¾ã™ã€‚ãŸã ã—ã€å®šç†è¨¼æ˜Žç³»ã¨ã—ã¦ã®æ©Ÿèƒ½ã¯ Coq ã‚„ Isabelle/HOL よりもãšã£ã¨å¼±ã„ã®ã§ã€ Agda2 を定ç†è¨¼æ˜Žç³»ã¨ã—ã¦ä½¿ã†ã®ã¯ã€ä¸€èˆ¬çš„ã«ã¯ãŠå‹§ã‚ã—ã¾ã›ã‚“。ãªã«ã‹ãƒ¡ãƒªãƒƒãƒˆãŒã‚ã‚Œã°ä½¿ãˆã°è‰¯ã„ã¨æ€ã„ã¾ã™ã€‚ ã“ã®è¨˜äº‹ã§ã¯ã€ Agda ã«ã‚る程度習熟ã—ãŸï¼ˆå‘½é¡Œè«–ç†ã‚„一階述語論ç†ã«ãŠã‘る命
A proof of the irrationality of the square root in Agda
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