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グレブナー基底で嘘を見抜く

The document describes a theft incident where a student's homework was stolen. There are three suspects - A, B, and C. Each suspect provides a testimony accusing one of the others. Based on determining who is lying, the logical conclusion is that suspect A is the culprit.

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グレブナー基底大好きbot グレブナー基底で 　 嘘を見抜く
グ？
グレブナー基底 とは？ ＝ 様々な 多項式 の 計算 に 　使える、数学の概念
挙手 グレブナー基底って 知ってる？
挙手 グレブナー基底って 聞いたことある？
グレブナー基底 ＝ 聞いたことあるけど、 よくわかんないやつ
ポ？
ポン酢 とは？ ＝ 様々な 料理 の 味付け に 　使える、日本の調味料
挙手 ポン酢 って 知ってる？
挙手 ポン酢って 聞いたことある？
挙手 じゃあ ポン酢 の 定義、言える？
ポン酢 ＝ 聞いたことあるけど、 よくわかんないやつ
考察 ■ グレブナー基底＝定義は知らないけど、聞 いたことはある ■ ポン酢＝定義は知らないけど、　　　　　　 食べたことはある
結論 グレブナー基底 ＝ポン酢
目的 グレブナー基底の厳密な定義 ではなく　　　　　 具体的な応用例を実食していく
キーワード
嘘
キーワード 嘘
盗難事件、発生 8/31(金)の朝、小学生のM子さんの 宿題が何者かに盗まれた。ももこさ んは「あーせっかく全部やったのに なー。いけずぅ」と嬉しそうに言って いた。
容疑者は３人 ■ 新井さん ■ 馬場さん ■ みぎわさん
容疑者は３人 (個人情報保護) ■ Aさん ■ Bさん ■ Cさん
容疑者の証言 ■ A「Bは嘘つきだ」 ■ B「Cは犯人でない」 ■ C「AかBが犯人だ」
犯人は誰か？ ※ただし、嘘をついているの は、犯人だけとする
容疑者の証言 (嘘=犯人) ■ A「Bは嘘つきだ」 ■ B「Cは犯人でない」 ■ C「AかBが犯人だ」
挙手 分かった人
背理法で示す Aが正直と仮定する。 Aが正直 ⇒Aの証言から、「Bは嘘つき」 ⇒Bの証言が嘘から、「Cは犯人=嘘つき」 ⇒Cの証言からAとBはどちらも犯人でない ⇒Bは犯人でない（矛盾） ■  A「Bは嘘つきだ」 ■  B「Cは犯人でない」 ■  C「AかBが犯人だ」 よって、背理法から、Aが犯人。
グレブナー基底で 　 嘘を見抜く
容疑者を変数化 ■ Aさん→ ■ Bさん→ ■ Cさん→ x<latexit sha1_base64="T5eNG1t/rh/1LJqdf1tI18J36qA=">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</latexit><latexit 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真偽をゼロイチ に ■ A=正直⇔ 、A=嘘 ⇔ ■ B=正直⇔ B=嘘 ⇔ ■ C=正直⇔、C=嘘 ⇔
証言を多項式化 A「Bは嘘つき」 ⇔ 𝑥+ 𝑦−1=0
なぜなら、 の時、 (A:正直) ⇒ (B:嘘) (A:嘘) ⇒ (B:正直)
証言を多項式化 A「Bは嘘つき」 ⇔ 𝑥+ 𝑦−1=0
証言を多項式化 B「Cは正直」 ⇔ 𝑦− 𝑧=0
証言を多項式化 C「AかBは嘘つき」 ⇔ 𝑧−(1− 𝑥)(1− 𝑦)=0
証言の連立方程式 {█𝑥+ 𝑦−1&=0 𝑦− 𝑧&=0 𝑧−(1− 𝑥)(1− 𝑦)&=0  
どう解くか？ でも手でやるのは 　　めんどくさい
グレブナー基底を 使えば、 連立方程式 が 自動的に解ける
証言の多項式の グレブナー基底を計算 < 𝑥+ 𝑦−1, 𝑦− 𝑧, 𝑧−(1− 𝑥)(1− 𝑦)> ⇓ { 𝑥+ 𝑧−1, 𝑦− 𝑧,​ 𝑧↑2 }
連立方程式の書き換え 元の連立方程式 グレブナー基底
連立方程式の書き換え {█𝑥+ 𝑧−1&=0 𝑦− 𝑧&=0 ​ 𝑧↑2 &=0   グレブナー基底
連立方程式の解 {█𝑥+ 𝑧−1&=0 𝑦− 𝑧&=0 ​ 𝑧↑2 &=0   ⟹{█𝑥=1 𝑦&=0 𝑧&=0   グレブナー基底
結論 A=嘘 ⇔ 𝑥=1 だったので、 犯人 は A、つまり、
新井
あらい
あ らい
a lie
嘘
グレブナー基底の歴史
「天使と悪魔と人間」問題 ■  天使…常に本当のことを言う ■  悪魔…常に嘘のことを言う ■  人間…本当のことも言うし嘘のことも言う 証言 ■  A「私は天使ではありません」 ■  B「私は悪魔ではありません」 ■  C「私は人間ではありません」 天使と悪魔と人間が１人ずついるとき、A、B、Cがそれぞれ 誰なのかを当てよ
天使と悪魔と人間（嘘）と人間（正直）に １、２、３、４を対応させる ■ 天使…常に本当のことを言う ↔︎ ■ 悪魔…常に嘘のことを言う ↔︎ ■ 人間(嘘つき)…人間かつ嘘のことを言う ↔︎ ■ 人間（正直）…人間かつ正直のことを言う ↔ x = 1<latexit sha1_base64="AQNQvNoNCzvfHC31qxVkEcwuDHE=">AAACZnichVHLSsNAFD2Nr1q1VkUU3BRLxVW5EUERhKIbl33YKqhIEscaTJOQpMVa/AHBrV24UhARP8ONP+Cif6C4rODGhbdpQFTUO8zMmTP33Dkzo9qG7npEzZDU1d3T2xfujwwMDkWHYyOjRdeqOJooaJZhOZuq4gpDN0XB0z1DbNqOUMqqITbUw9X2/kZVOK5umetezRY7ZaVk6vu6pnhM5Y+W5d1YglLkR/wnkAOQQBAZK3aDbezBgoYKyhAw4TE2oMDltgUZBJu5HdSZcxjp/r7ACSKsrXCW4AyF2UMeS7zaCliT1+2arq/W+BSDu8PKOJL0SLfUoge6o2d6/7VW3a/R9lLjWe1ohb07fDqZf/tXVebZw8Gn6k/PHvax6HvV2bvtM+1baB199bjRyi/lkvUZuqIX9n9JTbrnG5jVV+06K3IXiPAHyN+f+ycozqVkSsnZ+UR6JfiKMKYwjVl+7wWksYYMCnxuCWc4RyP0JEWlcWmikyqFAs0YvoQU/wAeWYp6</latexit><latexit 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sha1_base64="AQNQvNoNCzvfHC31qxVkEcwuDHE=">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</latexit><latexit sha1_base64="AQNQvNoNCzvfHC31qxVkEcwuDHE=">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</latexit> x = 2<latexit 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sha1_base64="p8oeuT/bC7h9Q5yqklppmMQTmWQ=">AAACZnichVHLSsNAFD2N7/qqiii4KZaKq3IjgiIIohuXaq0WailJHGswTUIyLWrxBwS3unClICJ+hht/wEX/QHFZwY0Lb9OAaFHvMDNnztxz58yM7lqmL4lqEaWtvaOzq7sn2tvXPzAYGxre8p2yZ4iM4ViOl9U1X1imLTLSlJbIup7QSroltvWDlcb+dkV4vunYm/LIFfmSVrTNPdPQJFPpw8WZQixBKQoi3grUECQQxpoTu8UOduHAQBklCNiQjC1o8LnloILgMpdHlTmPkRnsC5wgytoyZwnO0Jg94LHIq1zI2rxu1PQDtcGnWNw9VsaRpCe6ozo90j290MevtapBjYaXI571pla4hcHT8fT7v6oSzxL7X6o/PUvsYT7warJ3N2AatzCa+srxRT29sJGsTtE1vbL/K6rRA9/ArrwZN+ti4xJR/gD153O3gq2ZlEopdX02sbQcfkU3JjCJaX7vOSxhFWvI8LlFnOEcF5FnZUAZVcaaqUok1IzgWyjxTyBZins=</latexit><latexit sha1_base64="p8oeuT/bC7h9Q5yqklppmMQTmWQ=">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</latexit> x = 3<latexit 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sha1_base64="fhGF+QA/6TNDQIuOKrh209Q3sgU=">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</latexit><latexit sha1_base64="fhGF+QA/6TNDQIuOKrh209Q3sgU=">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</latexit> x = 4<latexit 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証言を多項式化 ■ A「私は天使ではありません」 x=1、x=2、x=3の時は上手くいくが、 x=4の時、ダメ。x=4で等式が成立して欲しい。 ⇒0と１の問題に帰着させたい () x (x 2)(x 3)(x 4) = 1?<latexit sha1_base64="B74wZXo7qtTw+FYsEU3ZcrLaBa4=">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</latexit><latexit sha1_base64="B74wZXo7qtTw+FYsEU3ZcrLaBa4=">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</latexit><latexit sha1_base64="B74wZXo7qtTw+FYsEU3ZcrLaBa4=">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</latexit><latexit sha1_base64="B74wZXo7qtTw+FYsEU3ZcrLaBa4=">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</latexit>
有限体　　　　　　　　　　　　で考える。 F5 = {0, 1, 2, 3, 4}<latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit> （5=0 とする） 12 = 1 22 = 4 32 = 9 = 5 + 4 = 4 42 = 16 = 3 · 5 + 1 = 1<latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit><latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit><latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit><latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit>
有限体　　　　　　　　　　　　で考える。 F5 = {0, 1, 2, 3, 4}<latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit> （5=0 とする） よって、 に対し 12 = 1 22 = 4 32 = 9 = 5 + 4 = 4 42 = 16 = 3 · 5 + 1 = 1<latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit><latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit><latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit><latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit> x2 = 1 () x = 1, 4<latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit><latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit><latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit><latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit> x2 = 4 () x = 2, 3<latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit><latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit><latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">AAACg3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQvIVcQZ2ZrE+OTnpeekppUUZaZnlCQWFeWXK1TYGukYxwsoG+gZgIECJsMQylBmgIKAfIHlDDEMKQz5DMkMpQy5DKkMeQwlQHYOQyJDMRBGMxgyGDAUAMViGaqBYkVAViZYPpWhloELqLcUqCoVqCIRKJoNJNOBvGioaB6QDzKzGKw7GWhLDhAXAXUqMKgaXDVYafDZ4ITBaoOXBn9wmlUNNgPklkognQTRm1oQz98lEfydoK5cIF3CkIHQhdfNJQxpDBZgt2YC3V4AFgH5Ihmiv6xq+udgqyDVajWDRQavge5faHDT4DDQB3llX5KXBqYGzWbgAkaAIXpwYzLCjPQMDfQMA02UHZygUcHBIM2gxKABDG9zBgcGD4YAhlCgvS0Mqxg2M2xhYmXSZjJiMoEoZWKE6hFmQAFMtgDGqZST</latexit><latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit> x = 1, 2, 3, 4<latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit><latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit><latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit><latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit>
証言を多項式化 ■ A「私は天使ではありません」 x=4の時も上手くいく () x2 (x 2)(x 3)(x 4) = 1<latexit sha1_base64="UOjl4tnMDGqZ8Y/MlF6ler5cm5Y=">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</latexit><latexit sha1_base64="UOjl4tnMDGqZ8Y/MlF6ler5cm5Y=">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</latexit><latexit sha1_base64="UOjl4tnMDGqZ8Y/MlF6ler5cm5Y=">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</latexit><latexit sha1_base64="UOjl4tnMDGqZ8Y/MlF6ler5cm5Y=">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</latexit>
証言を多項式化 ■ B「私は悪魔ではありません」 y=2の時、上手くいかない。 4-(2-1)(2-3)(2-4)=2で等式が成立しない。 () y2 (y 1)(y 3)(y 4) = 1?<latexit sha1_base64="71eltvpgkUHTGeq5TyUIQ+M/aTE=">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</latexit><latexit sha1_base64="71eltvpgkUHTGeq5TyUIQ+M/aTE=">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</latexit><latexit sha1_base64="71eltvpgkUHTGeq5TyUIQ+M/aTE=">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</latexit><latexit sha1_base64="71eltvpgkUHTGeq5TyUIQ+M/aTE=">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</latexit>
有限体　　　　　　　　　　　　で考える。 F5 = {0, 1, 2, 3, 4}<latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit> （5=0 とする） よって、 に対しx = 1, 2, 3, 4<latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit><latexit 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sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit><latexit 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証言を多項式化 ■ B「私は悪魔ではありません」 y=2の時、4-3=1となり、等式が成立。 () y2 3(y 1)4 (y 3)4 (y 4)4 = 1<latexit sha1_base64="pfSZn02Vr5LO0ddJoPQqR/HUOe8=">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</latexit><latexit sha1_base64="pfSZn02Vr5LO0ddJoPQqR/HUOe8=">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</latexit><latexit sha1_base64="pfSZn02Vr5LO0ddJoPQqR/HUOe8=">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</latexit><latexit sha1_base64="pfSZn02Vr5LO0ddJoPQqR/HUOe8=">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</latexit>
証言を多項式化 ■ C「私は人間ではありません」 () z2 (z 1)(z 2) = 1<latexit sha1_base64="gLfIQa/SobTxWTkWioJIuMiXfJQ=">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</latexit><latexit sha1_base64="gLfIQa/SobTxWTkWioJIuMiXfJQ=">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</latexit><latexit sha1_base64="gLfIQa/SobTxWTkWioJIuMiXfJQ=">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</latexit><latexit sha1_base64="gLfIQa/SobTxWTkWioJIuMiXfJQ=">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</latexit>
条件を多項式化 ■ AとBとCは、別々の種族（天使、悪魔、人間） 第１式でx,y,zがそれぞれ異なることが分かり、 第２式で{x,y,z}={1,2,3},{1,2,4}（人間は２人いな いこと）が分かる () ( (x y)4 (y z)4 (z x)4 = 1 (x + y + z 1)(x + y + z 2) = 0 <latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">AAACwnichVHNbtNAEP7q8lPMT0N7QeJSETVKVCUaV5VASJUq4MCBQ39IW6kOke1u3G0d26w3aZ3QF+AFOHACCSHEY/TCC3DoI1TcCBIXDowdSwgqYFa78+03883O7rpxIBNNdDphTF64eOny1BXz6rXrN6ZLN2c2k6inPNH0oiBS266TiECGoqmlDsR2rITTdQOx5R48zOJbfaESGYVPdRqLVtfxQ9mRnqOZapda9pMo9APR0Ur6e9pRKjq0XeHLcOhx2eTYrB7V09qzpWpaH2RuUD9iV1m2bJtDC+nCoG7VCrBYqyyTaYtwtxC3S2VqUG5z54FVgDIKW41K72FjFxE89NCFQAjNOICDhMcOLBBi5loYMqcYyTwucAyTtT3OEpzhMHvAq8+7nYINeZ/VTHK1x6cEPBUr5zBPn+kDjegTfaQz+vHXWsO8RtZLyt4da0Xcnn55a+P7f1Vd9hp7v1T/7Fmjg3t5r5J7j3Mmu4U31vcHr0Yb99fnhxV6S1+4/zd0Sid8g7D/zXu3JtZfw+QPsP587vNgc7FhUcNaWyqvPCi+Ygq3cQdVfu+7WMFjrKLJ557gDF8xMh4Z+8ZzIxmnGhOFZha/mfHiJ2+DqxA=</latexit><latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit><latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit><latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit>
証言の連立方程式 8 >>>>>>< >>>>>>: x2 (x 2)(x 3)(x 4) = 1 y2 3(y 1)4 (y 3)4 (y 4)4 = 1 z2 (z 1)(z 2) = 1 (x y)4 (y z)4 (z x)4 = 1 (x + y + z 1)(x + y + z 2) = 0<latexit sha1_base64="gGQYkhEmXqxEojSovHL+XdV7MeA=">AAADBnichZHNS9xQEMAn6Ycaa13bi+Bl6aLsIlkmu4uKUJB66dGvVcHokjyf68NsEpLsssniXfwHPHiyUEopeJNeC734D3jwTyg9WujFg5OPfqjYziMz82bmN5n3nulawg8QLyX50eMnT/v6B5TBZ0PPh3MjL1Z9p+0xXmeO5XjrpuFzS9i8HojA4uuux42WafE1c28+zq91uOcLx14JQpdvtoymLXYEMwIKNXInusmbwu4x6uHvK/l8d6uiFrtqpUSqGqtaaeK1puuUCilVLYaqVtqqkammpkbmV0UUwxEVkKr85qhJmNZGsYnU7l9IsTsZTiZI6sQYKjq3t7OZGrkCljGR/H1Hy5wCZLLg5D6ADtvgAIM2tICDDQH5Fhjg09oADRBcim1Cj2IeeSLJc9gHhdg2VXGqMCi6R7pJu40satM+7uknNKO/WPR5ROZhHC/wI17hOX7Cb3j9YK9e0iOeJSRrpix3G8OHo8s//0u1yAaw+4f658wB7MBMMqug2d0kEp+CpXwnOrpanl0a703gO/xO85/gJX6lE9idH+z9Il86BoUeQLt73fed1UpZw7K2WCvMvcmeoh/G4BUU6b6nYQ7ewgLUgUl9kipNSdPygXwqn8mf01JZypiXcEvkLzfsx7X0</latexit><latexit sha1_base64="gGQYkhEmXqxEojSovHL+XdV7MeA=">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</latexit><latexit sha1_base64="gGQYkhEmXqxEojSovHL+XdV7MeA=">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</latexit><latexit sha1_base64="gGQYkhEmXqxEojSovHL+XdV7MeA=">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</latexit>
グレブナー基底と計算 =)<latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit><latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit><latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit><latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit> グレブナー基底 8 >< >: x 4 = 0 y 2 = 0 z 1 = 0<latexit sha1_base64="jDWlWeDV+tdAbMA1QB7yjmcb7Ag=">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</latexit><latexit sha1_base64="jDWlWeDV+tdAbMA1QB7yjmcb7Ag=">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</latexit><latexit sha1_base64="jDWlWeDV+tdAbMA1QB7yjmcb7Ag=">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</latexit><latexit sha1_base64="jDWlWeDV+tdAbMA1QB7yjmcb7Ag=">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</latexit> x = 4, y = 2, z = 1<latexit 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■  天使…常に本当のことを言う ■  悪魔…常に嘘のことを言う ■  人間…本当のことも言うし嘘のことも言う 証言 ■  A「私は天使ではありません」 ■  B「私は悪魔ではありません」 ■  C「私は人間ではありません」 答え：A:人間(正直)、B:悪魔、C:天使
証言の一般化 X1「〇〇〇」 X2「〇〇〇」 X3「〇〇〇」 X1、X2、X3の〇〇〇がそれぞれが多項式　　　　　　　 で表されているとする。つまり、 　　　　　　　　「Xiの〇〇〇が正しい」 このとき、 X1「○○○」 X2「○○○」 X3「○○○」 fi(x, y, z)<latexit sha1_base64="Pkpm5zFkZTCJu2nnj/1QGuG8Wzk=">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</latexit><latexit 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sha1_base64="eF8VrNcvaxrv8fOueZajw2yKURw=">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</latexit> () y2 3f2(x, y, z)4 = 1<latexit 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sha1_base64="ByevHITFg2KX6Q0n819zQpa28dc=">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</latexit><latexit sha1_base64="ByevHITFg2KX6Q0n819zQpa28dc=">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</latexit> () z2 3f3(x, y, z)4 = 1<latexit sha1_base64="gYhJrzpWiMxCT7knTl8bFDtaFSU=">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</latexit><latexit sha1_base64="gYhJrzpWiMxCT7knTl8bFDtaFSU=">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</latexit><latexit sha1_base64="gYhJrzpWiMxCT7knTl8bFDtaFSU=">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</latexit><latexit sha1_base64="gYhJrzpWiMxCT7knTl8bFDtaFSU=">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</latexit>
証明 有限体{0,1,2,4,5}で考える。（つまり、5=0として考える。） が成り立つので（フェルマーの小定理）、　　　　　 　　　　　　　　　　　　　　　　　に対し また、 x4 = 1 () x = 1, 2, 3, 4<latexit sha1_base64="16UaCNN49KYYQvOIk9/9E+H6CUk=">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</latexit><latexit 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sha1_base64="16UaCNN49KYYQvOIk9/9E+H6CUk=">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</latexit><latexit sha1_base64="16UaCNN49KYYQvOIk9/9E+H6CUk=">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</latexit> f(x, y, z)4 = 0 () f(x, y, z) = 0<latexit sha1_base64="K9qphfoJ7EMB3+RUKLNjFXzM+F0=">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</latexit><latexit sha1_base64="K9qphfoJ7EMB3+RUKLNjFXzM+F0=">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</latexit><latexit sha1_base64="K9qphfoJ7EMB3+RUKLNjFXzM+F0=">AAACkHicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQtop2lU6FTqVGnGmdgaKMT45Oel56SmlRRlpmeUJBYV5ZcrwBTYGsQLKBvoGYCBAibDEMpQZoCCgHyB5QwxDCkM+QzJDKUMuQypDHkMJUB2DkMiQzEQRjMYMhgwFADFYhmqgWJFQFYmWD6VoZaBC6i3FKgqFagiESiaDSTTgbxoqGgekA8ysxisOxloSw4QFwF1KjCoGlw1WGnw2eCEwWqDlwZ/cJpVDTYD5JZKIJ0E0ZtaEM/fJRH8naCuXCBdwpCB0IXXzSUMaQwWYLdmAt1eABYB+SIZor+savrnYKsg1Wo1g0UGr4HuX2hw0+Aw0Ad5ZV+SlwamBs1m4AJGgCF6cGMywoz0DA30DANNlB2coFHBwSDNoMSgAQxvcwYHBg+GAIZQoL0TGbYzHGA4yCTEZMFkz+QIUcrECNUjzIACmLwAwuqY1g==</latexit><latexit sha1_base64="K9qphfoJ7EMB3+RUKLNjFXzM+F0=">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</latexit> {x, y, z} ⇢ {0, 1, 2, 3, 4}<latexit 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sha1_base64="ZMoJgD35bAuy0yQp7lrOFyxkxsE=">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</latexit> f(x, y, z)4 = 1 () f(x, y, z) 6= 0<latexit sha1_base64="mWKzA+jDei2SnOQQMO2d6+XkNy0=">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</latexit><latexit sha1_base64="mWKzA+jDei2SnOQQMO2d6+XkNy0=">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</latexit><latexit sha1_base64="mWKzA+jDei2SnOQQMO2d6+XkNy0=">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</latexit><latexit sha1_base64="mWKzA+jDei2SnOQQMO2d6+XkNy0=">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</latexit> x2 = 1 () x = 1, 4<latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit><latexit 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sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit><latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit> x2 = 4 () x = 2, 3<latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit><latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit><latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit><latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit>
X1「○○○」　　　　　　　　　　　　　　　　　　を示す。 　●　　　　　　　　　　　　　　　　　　　　　の時、 　● の時、 よって、⇒が成り立つ。 x = 1, 4, f1(x, y, z) = 0<latexit sha1_base64="UZDcGl+SXxQ4g6LhIYvvCakHqpY=">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</latexit><latexit sha1_base64="UZDcGl+SXxQ4g6LhIYvvCakHqpY=">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</latexit><latexit sha1_base64="UZDcGl+SXxQ4g6LhIYvvCakHqpY=">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</latexit><latexit sha1_base64="UZDcGl+SXxQ4g6LhIYvvCakHqpY=">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</latexit> x2 3f1(x, y, z)4 = 1 0 = 1<latexit sha1_base64="QyOQU8GRPvPZmqKuoFVavubGxGo=">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</latexit><latexit sha1_base64="QyOQU8GRPvPZmqKuoFVavubGxGo=">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</latexit><latexit sha1_base64="QyOQU8GRPvPZmqKuoFVavubGxGo=">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</latexit><latexit sha1_base64="QyOQU8GRPvPZmqKuoFVavubGxGo=">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</latexit> =) x2 3f1(x, y, z)4 = 1<latexit sha1_base64="5/8Z7/ZGUYEs7HeMgx9SUzt2RIg=">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</latexit><latexit sha1_base64="5/8Z7/ZGUYEs7HeMgx9SUzt2RIg=">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</latexit><latexit sha1_base64="5/8Z7/ZGUYEs7HeMgx9SUzt2RIg=">AAACiHicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQsox/jk56UXZaZnlCQWFeWXK1TEGekap8UbalToVOpUacaZ2BoCVRnoGYCBAibDEMpQZoCCgHyB5QwxDCkM+QzJDKUMuQypDHkMJUB2DkMiQzEQRjMYMhgwFADFYhmqgWJFQFYmWD6VoZaBC6i3FKgqFagiESiaDSTTgbxoqGgekA8ysxisOxloSw4QFwF1KjCoGlw1WGnw2eCEwWqDlwZ/cJpVDTYD5JZKIJ0E0ZtaEM/fJRH8naCuXCBdwpCB0IXXzSUMaQwWYLdmAt1eABYB+SIZor+savrnYKsg1Wo1g0UGr4HuX2hw0+Aw0Ad5ZV+SlwamBs1m4AJGgCF6cGMywoz0DA30DANNlB2coFHBwSDNoMSgAQxvcwYHBg+GAIZQoL2dDOsZdjDsZOJiMmAyZ7KEKGVihOoRZkABTE4AzwKVzQ==</latexit><latexit sha1_base64="5/8Z7/ZGUYEs7HeMgx9SUzt2RIg=">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</latexit> x = 2, 3, f1(x, y, z) 6= 0<latexit sha1_base64="hgIb/tOftbzGFcnvdwQPrE5K1KQ=">AAACgnichVHLSsNAFD3Gd31V3QgiFIuiUspNFRRREN249FUVrJQknWpomsQkLdbiyp0/4MKVgoi4009w4w+48BPEpYIbF96kAVFR7zAzZ87cc+fMjGobuusRPdZJ9Q2NTc0trZG29o7Ormh3z7prlRxNpDXLsJxNVXGFoZsi7emeITZtRyhF1RAbamHB398oC8fVLXPNq9hiu6jsmHpe1xSPqWx0YH82lRhPZPZKSi6Wz8oj+4lK4mA0Y4q9GEWy0TglKYjYTyCHII4wlqzoJTLIwYKGEooQMOExNqDA5bYFGQSbuW1UmXMY6cG+wCEirC1xluAMhdkCjzu82gpZk9d+TTdQa3yKwd1hZQxD9EBX9EL3dE1P9P5rrWpQw/dS4VmtaYWd7TruW337V1Xk2cPup+pPzx7ymAq86uzdDhj/FlpNXz44eVmdXhmqDtM5PbP/M3qkO76BWX7VLpbFyin8D5C/P/dPsJ5KypSUlyfic/PhV7SgH4MY4feexBwWsYQ0n3uEK9zgVmqQxiRZGq+lSnWhphdfQpr5ADf5kmc=</latexit><latexit sha1_base64="hgIb/tOftbzGFcnvdwQPrE5K1KQ=">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</latexit><latexit sha1_base64="hgIb/tOftbzGFcnvdwQPrE5K1KQ=">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</latexit><latexit sha1_base64="hgIb/tOftbzGFcnvdwQPrE5K1KQ=">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</latexit> x2 3f1(x, y, z)4 = 4 3 = 1<latexit sha1_base64="3c8397+Xw2SdUf5xUGeuE7PjYIg=">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</latexit><latexit sha1_base64="3c8397+Xw2SdUf5xUGeuE7PjYIg=">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</latexit><latexit sha1_base64="3c8397+Xw2SdUf5xUGeuE7PjYIg=">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</latexit><latexit sha1_base64="3c8397+Xw2SdUf5xUGeuE7PjYIg=">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</latexit>
X1「○○○」　　　　　　　　　　　　　　　　　　を示す。 よって、←が成り立つ。（証明終） (= x2 3f1(x, y, z)4 = 1<latexit sha1_base64="ztELA6AGvX7Kld98C3M4mZj2Rik=">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</latexit><latexit 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sha1_base64="ztELA6AGvX7Kld98C3M4mZj2Rik=">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</latexit> x = 1, 4 () x2 = 1 () 1 3f1(x, y, z)4 = 1 () f1(x, y, z)4 = 0 () f1(x, y, z) = 0<latexit 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大阪桐蔭中学　入試問題（２００８年） Ａ，Ｂ，Ｃの３人は、見た目からは分かりませんが、１人は天使、 １人は悪魔、１人は人間です。天使は本当の事しか話しません。 一方、悪魔はウソの事しか話しません。人間は本当の事も、ウ ソの事も話します。 Ａ，Ｂ，Ｃ が次のような会話をしました。 　　　Ａ　「Ｂは人間だ」 　　　Ｂ　「Ｃは悪魔ではない」 　　　Ｃ　「Ａは人間ではない」 このとき、Ａは天使、悪魔、人間のうちどれでしょうか？
証言を多項式化 ■ Ｂは人間だ であるから、 A「Bは人間だ」 () f1(x, y, z) = (y 3)(y 4) = 0<latexit sha1_base64="a7RO65kl1uFF8se2eMDFv2qj3mA=">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</latexit><latexit 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sha1_base64="RBS6byctPNIoVHPoTKPAAK+TRQU=">AAACkHicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQtox/jk56XnpKaVFGWmZ5QkFhXllyukxRtqVOhU6lRp2mpU6hprAgkTTVuDeAFlAz0DMFDAZBhCGcoOSjHaU246VAbkCyxniGFIYchnSGYoZchlSGXIYygBsnMYEhmKgTCawZDBgKEAKBbLUA0UKwKyMsHyqQy1DFxAvaVAValAFYlA0WwgmQ7kRUNF84B8kJnFYN3JQFtygLgIqFOBQdXgqsFKg88GJwxWG7w0+IPTrGqwGSC3VALpJIje1IJ4/i6J4O8EdeUC6RKGDIQuvG4uYUhjsAC7NRPo9gKwCMgXyRD9ZVXTPwdbBalWqxksMngNdP9Cg5sGh4E+yCv7krw0MDVoNgMXMAIM0YMbkxFmpGdooGcYaKjs4MQAARwM0gxKDBrA8DZncGDwYAhgCAXaO5FhO8MBhoNMQkwWTPZMjhClTIxQPcIMKIDJCwCJW5tr</latexit><latexit sha1_base64="BAgl1p7/zbv/Ado5042C0hjjgcw=">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</latexit> () x2 3(y 3)4 (y 4)4 = 1<latexit sha1_base64="SOTKWPcMAn3prPvXAHo8u6N7+vM=">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</latexit><latexit sha1_base64="b28lEIXBFWQoMBRvq1Y0voC0CnA=">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</latexit><latexit sha1_base64="b28lEIXBFWQoMBRvq1Y0voC0CnA=">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</latexit><latexit sha1_base64="Fr/vXIt081fALJJn+ELQjgHlhrk=">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</latexit>
証言を多項式化 ■ Cは悪魔ではない であるから、 B「Cは悪魔ではない」 () f2(x, y, z) = (z 1)(z 3)(z 4) = 0<latexit sha1_base64="+dQbw/mHTFYRKhGzBeRb130DDTk=">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</latexit><latexit sha1_base64="0+rArmZHaPvIvTtzS52/SQCB9ic=">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</latexit><latexit sha1_base64="0+rArmZHaPvIvTtzS52/SQCB9ic=">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</latexit><latexit sha1_base64="fw55IwHBbyJMJN1ghq7v9c0jgQw=">AAAClXicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQsYxPjk56XnpKaVFGWmZ5QkFhXllyukxRtpVOhU6lRp2mpU6RpqAgljEGGiaWsQL6BsoGcABgqYDEMoQ5kBCgLyBZYzxDCkMOQzJDOUMuQypDLkMZQA2TkMiQzFQBjNYMhgwFAAFItlqAaKFQFZmWD5VIZaBi6g3lKgqlSgikSgaDaQTAfyoqGieUA+yMxisO5koC05QFwE1KnAoGpw1WClwWeDEwarDV4a/MFpVjXYDJBbKoF0EkRvakE8f5dE8HeCunKBdAlDBkIXXjeXMKQxWIDdmgl0ewFYBOSLZIj+sqrpn4OtglSr1QwWGbwGun+hwU2Dw0Af5JV9SV4amBo0m4ELGAGG6MGNyQgz0jM00DMMNFR2cIJGBQeDNIMSgwYwvM0ZHBg8GAIYQoH2TmPYw3CU4RiTOJMtkwuTG0QpEyNUjzADCmDyBwBQj5m6</latexit> () y2 3(z 1)4 (z 3)4 (z 4)4 = 1<latexit sha1_base64="wM9FM7ru6ndmRjRk1fdIabr3Z9k=">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</latexit><latexit sha1_base64="ruumuH9kC+lL/qcwjoATtHCwgkg=">AAAClXicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQsYxPjk56XnpKaVFGWmZ5QkFhXllytUxhnpGmtU6RpqxpkAKWMIZQKkbA3jBZQN9AzAQAGTYQhlKDsoxWhPuelQGZAvsJwhhiGFIZ8hmaGUIZchlSGPoQTIzmFIZCgGwmgGQwYDhgKgWCxDNVCsCMjKBMunMtQycAH1lgJVpQJVJAJFs4FkOpAXDRXNA/JBZhaDdScDbckB4iKgTgUGVYOrBisNPhucMFht8NLgD06zqsFmgNxSCaSTIHpTC+L5uySCvxPUlQukSxgyELrwurmEIY3BAuzWTKDbC8AiIF8kQ/SXVU3/HGwVpFqtZrDI4DXQ/QsNbhocBvogr+xL8tLA1KDZDFzACDBED25MRpiRnqGBnmGgobKDEwMEcDBIMygxaADD25zBgcGDIYAhFGjvNIY9DEcZjjGJM9kyuTC5QZQyMUL1CDOgACZ/AJFPnKE=</latexit><latexit sha1_base64="ruumuH9kC+lL/qcwjoATtHCwgkg=">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</latexit><latexit sha1_base64="HBofpA4nNK+EgYU4cNQSGa/EI6E=">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</latexit>
証言を多項式化 ■ Aは人間ではない であるから、 C「Aは人間ではない」 () f3(x, y, z) = (x 1)(x 2) = 0<latexit sha1_base64="PVViBHWl0GZf3iaDAXQ4prM0eOE=">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</latexit><latexit 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sha1_base64="+D35KjtY0B/LHz26aqfkf5xmh48=">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</latexit><latexit sha1_base64="WBiXJq2iQPSOOUE1xq7MCcYU0/Y=">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</latexit> () z2 3(x 1)4 (x 2)4 = 1<latexit 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条件を多項式化 ■ AとBとCは、別々の種族（天使、悪魔、人間） 第１式でx,y,zがそれぞれ異なることが分かり、 第２式で{x,y,z}={1,2,3},{1,2,4}（人間は２人いな いこと）が分かる () ( (x y)4 (y z)4 (z x)4 = 1 (x + y + z 1)(x + y + z 2) = 0 <latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit><latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">AAACwnichVHNbtNAEP7q8lPMT0N7QeJSETVKVCUaV5VASJUq4MCBQ39IW6kOke1u3G0d26w3aZ3QF+AFOHACCSHEY/TCC3DoI1TcCBIXDowdSwgqYFa78+03883O7rpxIBNNdDphTF64eOny1BXz6rXrN6ZLN2c2k6inPNH0oiBS266TiECGoqmlDsR2rITTdQOx5R48zOJbfaESGYVPdRqLVtfxQ9mRnqOZapda9pMo9APR0Ur6e9pRKjq0XeHLcOhx2eTYrB7V09qzpWpaH2RuUD9iV1m2bJtDC+nCoG7VCrBYqyyTaYtwtxC3S2VqUG5z54FVgDIKW41K72FjFxE89NCFQAjNOICDhMcOLBBi5loYMqcYyTwucAyTtT3OEpzhMHvAq8+7nYINeZ/VTHK1x6cEPBUr5zBPn+kDjegTfaQz+vHXWsO8RtZLyt4da0Xcnn55a+P7f1Vd9hp7v1T/7Fmjg3t5r5J7j3Mmu4U31vcHr0Yb99fnhxV6S1+4/zd0Sid8g7D/zXu3JtZfw+QPsP587vNgc7FhUcNaWyqvPCi+Ygq3cQdVfu+7WMFjrKLJ557gDF8xMh4Z+8ZzIxmnGhOFZha/mfHiJ2+DqxA=</latexit><latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit><latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit>
証言の連立方程式 8 >>>>>>< >>>>>>: x2 3(y 3)4 (y 4)4 = 1 y2 3(z 1)4 (z 3)4 (z 4)4 = 1 z2 3(x 1)4 (x 2)4 = 1 (x y)4 (y z)4 (z x)4 = 1 (x + y + z 1)(x + y + z 2) = 0<latexit sha1_base64="sJ/xWpSoBMQSkpeF1sziEI71IXU=">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</latexit><latexit sha1_base64="sJ/xWpSoBMQSkpeF1sziEI71IXU=">AAADC3ichVHNS9xQEJ/EVm20utpLwcvSxUWRXSZxQdEKopce/VoVjC7J87k+zCYhyS6bLP4DhZ49eFKwRTz2VnorBf8BD/4J4tFCLz108gHtVtpOSGbe72My7z3TtYQfIN5Kcs+Tp719/c+UgcHnQ8O5kdFN32l6jFeZYznetmn43BI2rwYisPi263GjYVp8yzxajvmtFvd84dgbQejy3YZRt8WBYEZAUC33Xjd5XdgdRj38YyWfb+9ppemJsDQ9uVehVKFUXFB1nagwoaKSGlNRqoi6FFGiaKeKdkn7jaJlmLaMUl+7i5wKp+LGWaFNFhdQ0bm9nw1WyxWwjEnkHxdqVhQgixUn9wF02AcHGDShARxsCKi2wACfnh1QAcElbBc6hHlUiYTncAwKeZuk4qQwCD2ib51WOxlq0zru6SduRn+x6PXImYdxvMFLfMBrvMI7/PHXXp2kRzxLSNlMvdytDb99uf79v64G5QAOf7n+OXMABzCbzCpodjdB4l2w1N+KTh7W59bGO0U8x3ua/wxv8QvtwG59YxerfO0UFLoA9c/jflxsamUVy+pqpbC4lF1FP4zBK5ig856BRXgDK1AFJg1KmjQvvZbfyR/lT/LnVCpLmecFdIX89Setlbet</latexit><latexit sha1_base64="sJ/xWpSoBMQSkpeF1sziEI71IXU=">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</latexit><latexit sha1_base64="sJ/xWpSoBMQSkpeF1sziEI71IXU=">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</latexit>
グレブナー基底と計算 =)<latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit><latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit><latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit><latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit> グレブナー基底 8 >< >: x 2 = 0 y 1 = 0 z 4 = 0<latexit 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sha1_base64="sJ/xWpSoBMQSkpeF1sziEI71IXU=">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</latexit>
■  天使…常に本当のことを言う ■  悪魔…常に嘘のことを言う ■  人間…本当のことも言うし嘘のことも言う 証言 ■  A「Bは人間だ」 ■  B「Cは悪魔ではない」 ■  C「Aは人間ではない」 答え：A:悪魔、B:天使、C:人間(正直)
まとめ ■ グレブナー基底で連立方程式が解ける ■ 多項式で表すことでパズルに応用 ■ グレブナー基底の定義は難しいので、「グレブ ナ基底と代数多様体入門」などの専門書で勉 強するといいです

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グレブナー基底で嘘を見抜く

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    グレブナー基底 とは？ ＝ 様々な多項式 の 計算 に 　使える、数学の概念
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    ポン酢 とは？ ＝ 様々な料理 の 味付け に 　使える、日本の調味料
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sha1_base64="AuLdew5jpKTPI6dy3LbA+v6AZWo=">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</latexit> z<latexit sha1_base64="9fic6A8G+DmZBGiKEjiO1nNUJwk=">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</latexit><latexit sha1_base64="9fic6A8G+DmZBGiKEjiO1nNUJwk=">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</latexit><latexit sha1_base64="9fic6A8G+DmZBGiKEjiO1nNUJwk=">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</latexit><latexit sha1_base64="9fic6A8G+DmZBGiKEjiO1nNUJwk=">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</latexit>
  • 29.
    真偽をゼロイチ に ■ A=正直⇔ 、A=嘘⇔ ■ B=正直⇔ B=嘘 ⇔ ■ C=正直⇔、C=嘘 ⇔
  • 30.
  • 31.
    なぜなら、 の時、 (A:正直) ⇒(B:嘘) (A:嘘) ⇒ (B:正直)
  • 32.
  • 33.
  • 34.
  • 35.
    証言の連立方程式 {█𝑥+ 𝑦−1&=0𝑦− 𝑧&=0 𝑧−(1− 𝑥)(1− 𝑦)&=0  
  • 36.
  • 37.
  • 38.
    証言の多項式の グレブナー基底を計算 < 𝑥+ 𝑦−1,𝑦− 𝑧, 𝑧−(1− 𝑥)(1− 𝑦)> ⇓ { 𝑥+ 𝑧−1, 𝑦− 𝑧,​ 𝑧↑2 }
  • 39.
  • 40.
    連立方程式の書き換え {█𝑥+ 𝑧−1&=0 𝑦−𝑧&=0 ​ 𝑧↑2 &=0   グレブナー基底
  • 41.
    連立方程式の解 {█𝑥+ 𝑧−1&=0 𝑦−𝑧&=0 ​ 𝑧↑2 &=0   ⟹{█𝑥=1 𝑦&=0 𝑧&=0   グレブナー基底
  • 42.
  • 43.
  • 44.
  • 45.
  • 46.
  • 47.
  • 50.
  • 51.
    「天使と悪魔と人間」問題 ■  天使…常に本当のことを言う ■  悪魔…常に嘘のことを言う ■ 人間…本当のことも言うし嘘のことも言う 証言 ■  A「私は天使ではありません」 ■  B「私は悪魔ではありません」 ■  C「私は人間ではありません」 天使と悪魔と人間が１人ずついるとき、A、B、Cがそれぞれ 誰なのかを当てよ
  • 52.
    天使と悪魔と人間（嘘）と人間（正直）に １、２、３、４を対応させる ■ 天使…常に本当のことを言う ↔︎ ■ 悪魔…常に嘘のことを言う ↔︎ ■ 人間(嘘つき)…人間かつ嘘のことを言う↔︎ ■ 人間（正直）…人間かつ正直のことを言う ↔ x = 1<latexit sha1_base64="AQNQvNoNCzvfHC31qxVkEcwuDHE=">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</latexit><latexit 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sha1_base64="AQNQvNoNCzvfHC31qxVkEcwuDHE=">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</latexit><latexit sha1_base64="AQNQvNoNCzvfHC31qxVkEcwuDHE=">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</latexit> x = 2<latexit sha1_base64="p8oeuT/bC7h9Q5yqklppmMQTmWQ=">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</latexit><latexit sha1_base64="p8oeuT/bC7h9Q5yqklppmMQTmWQ=">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</latexit><latexit sha1_base64="p8oeuT/bC7h9Q5yqklppmMQTmWQ=">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</latexit><latexit sha1_base64="p8oeuT/bC7h9Q5yqklppmMQTmWQ=">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</latexit> x = 3<latexit sha1_base64="fhGF+QA/6TNDQIuOKrh209Q3sgU=">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</latexit><latexit sha1_base64="fhGF+QA/6TNDQIuOKrh209Q3sgU=">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</latexit><latexit sha1_base64="fhGF+QA/6TNDQIuOKrh209Q3sgU=">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</latexit><latexit sha1_base64="fhGF+QA/6TNDQIuOKrh209Q3sgU=">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</latexit> x = 4<latexit sha1_base64="TV1soH+kGNhPljlN4QXAhv3/Ei0=">AAACZnichVHLSsNAFD2N7/poVUTBTbEorsqNFBRBEN24tK19QBVJ4lhD0yQkabEWf0BwqwtXCiLiZ7jxB1z0DxSXFdy48DYNiIp6h5k5c+aeO2dmVNvQXY+oGZK6unt6+/oHwoNDwyOR6OhYzrWqjiaymmVYTkFVXGHopsh6umeIgu0IpaIaIq+W19v7+ZpwXN0yt7y6LXYqSsnU93VN8ZjKHK4kd6NxSpAfsZ9ADkAcQWxa0RtsYw8WNFRRgYAJj7EBBS63ImQQbOZ20GDOYaT7+wLHCLO2ylmCMxRmyzyWeFUMWJPX7Zqur9b4FIO7w8oYZumRbqlFD3RHz/T+a62GX6Ptpc6z2tEKezdyMpV5+1dV4dnDwafqT88e9rHke9XZu+0z7VtoHX3t6LyVWU7PNuboil7Y/yU16Z5vYNZeteuUSF8gzB8gf3/unyC3kJApIaeS8dW14Cv6MY0ZzPN7L2IVG9hEls8t4RRnOA89SSPShDTZSZVCgWYcX0KKfQAkWYp9</latexit><latexit sha1_base64="TV1soH+kGNhPljlN4QXAhv3/Ei0=">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</latexit><latexit sha1_base64="TV1soH+kGNhPljlN4QXAhv3/Ei0=">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</latexit><latexit sha1_base64="TV1soH+kGNhPljlN4QXAhv3/Ei0=">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</latexit>
  • 53.
    証言を多項式化 ■ A「私は天使ではありません」 x=1、x=2、x=3の時は上手くいくが、 x=4の時、ダメ。x=4で等式が成立して欲しい。 ⇒0と１の問題に帰着させたい () x (x2)(x 3)(x 4) = 1?<latexit sha1_base64="B74wZXo7qtTw+FYsEU3ZcrLaBa4=">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</latexit><latexit sha1_base64="B74wZXo7qtTw+FYsEU3ZcrLaBa4=">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</latexit><latexit sha1_base64="B74wZXo7qtTw+FYsEU3ZcrLaBa4=">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</latexit><latexit sha1_base64="B74wZXo7qtTw+FYsEU3ZcrLaBa4=">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</latexit>
  • 54.
    有限体　　　　　　　　　　　　で考える。 F5 = {0,1, 2, 3, 4}<latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit> （5=0 とする） 12 = 1 22 = 4 32 = 9 = 5 + 4 = 4 42 = 16 = 3 · 5 + 1 = 1<latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">AAACmnicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQuYqhnGGdkaxsRwqRkBGSYghjGQYWlrqm0C4ZqAFJjZGsckp+SXKJhqG9oaxgsoG+gZgIECJsMQylBmgIKAfIHlDDEMKQz5DMkMpQy5DKkMeQwlQHYOQyJDMRBGMxgyGDAUAMViGaqBYkVAViZYPpWhloELqLcUqCoVqCIRKJoNJNOBvGioaB6QDzKzGKw7GWhLDhAXAXUqMKgaXDVYafDZ4ITBaoOXBn9wmlUNNgPklkognQTRm1oQz98lEfydoK5cIF3CkIHQhdfNJQxpDBZgt2YC3V4AFgH5Ihmiv6xq+udgqyDVajWDRQavge5faHDT4DDQB3llX5KXBqYGzWbgAkaAIXpwYzLCjPQMDfQMA02UHZygUcHBIM2gxKABDG9zBgcGD4YAhlCgvbMZDjKcYjjNJMPkxOTJ5A1RysQI1SPMgAKYQgDAv5dy</latexit><latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit><latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit><latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit>
  • 55.
    有限体　　　　　　　　　　　　で考える。 F5 = {0,1, 2, 3, 4}<latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">AAACdnichVHLSsNAFD2N7/po1Y0gSLFUXZRyUxVFEERBXNZHVbBSkjhqaJqEJK1o8Qf8ARfiQkGL+Blu/AEX/QRxqaALF96mAVFR7zAzZ87cc+fMjGobuusR1UJSU3NLa1t7R7izq7snEu3tW3etkqOJrGYZlrOpKq4wdFNkPd0zxKbtCKWoGmJDLSzU9zfKwnF1y1zzDm2xXVT2TH1X1xSPqXy0dzE/OZurUFJOppPjyYnccT4apxT5EfsJ5ADEEUTGilaRww4saCihCAETHmMDClxuW5BBsJnbRoU5h5Hu7wscI8zaEmcJzlCYLfC4x6utgDV5Xa/p+mqNTzG4O6yMIUEPdEPPdE+39Ejvv9aq+DXqXg55VhtaYecjJwOrr/+qijx72P9U/enZwy6mfa86e7d9pn4LraEvH50+r86sJCojdElP7P+CanTHNzDLL9rVslg5Q5g/QP7+3D/BejolU0penojPzQdf0Y5BDGOM33sKc1hCBlk+9wDnuEY19CYNSQlptJEqhQJNP76ERB/qpY7C</latexit> （5=0 とする） よって、 に対し 12 = 1 22 = 4 32 = 9 = 5 + 4 = 4 42 = 16 = 3 · 5 + 1 = 1<latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit><latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit><latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit><latexit sha1_base64="h+7VJ3JgyAysYHUXH0+VOZ6ufNw=">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</latexit> x2 = 1 () x = 1, 4<latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit><latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit><latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit><latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">AAACg3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQvIVcQZ2RrG+OTnpeekppUUZaZnlCQWFeWXK1TYGuqYxAsoG+gZgIECJsMQylBmgIKAfIHlDDEMKQz5DMkMpQy5DKkMeQwlQHYOQyJDMRBGMxgyGDAUAMViGaqBYkVAViZYPpWhloELqLcUqCoVqCIRKJoNJNOBvGioaB6QDzKzGKw7GWhLDhAXAXUqMKgaXDVYafDZ4ITBaoOXBn9wmlUNNgPklkognQTRm1oQz98lEfydoK5cIF3CkIHQhdfNJQxpDBZgt2YC3V4AFgH5Ihmiv6xq+udgqyDVajWDRQavge5faHDT4DDQB3llX5KXBqYGzWbgAkaAIXpwYzLCjPQMDfQMA02UHZygUcHBIM2gxKABDG9zBgcGD4YAhlCgvS0Mqxg2M2xhYmXSZjJiMoEoZWKE6hFmQAFMtgDAXJSQ</latexit> x2 = 4 () x = 2, 3<latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">AAACg3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQvIVcQZ2ZrE+OTnpeekppUUZaZnlCQWFeWXK1TYGukYxwsoG+gZgIECJsMQylBmgIKAfIHlDDEMKQz5DMkMpQy5DKkMeQwlQHYOQyJDMRBGMxgyGDAUAMViGaqBYkVAViZYPpWhloELqLcUqCoVqCIRKJoNJNOBvGioaB6QDzKzGKw7GWhLDhAXAXUqMKgaXDVYafDZ4ITBaoOXBn9wmlUNNgPklkognQTRm1oQz98lEfydoK5cIF3CkIHQhdfNJQxpDBZgt2YC3V4AFgH5Ihmiv6xq+udgqyDVajWDRQavge5faHDT4DDQB3llX5KXBqYGzWbgAkaAIXpwYzLCjPQMDfQMA02UHZygUcHBIM2gxKABDG9zBgcGD4YAhlCgvS0Mqxg2M2xhYmXSZjJiMoEoZWKE6hFmQAFMtgDGqZST</latexit><latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit><latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit><latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit> x = 1, 2, 3, 4<latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit><latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit><latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit><latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit>
  • 56.
    証言を多項式化 ■ A「私は天使ではありません」 x=4の時も上手くいく () x2 (x 2)(x3)(x 4) = 1<latexit sha1_base64="UOjl4tnMDGqZ8Y/MlF6ler5cm5Y=">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</latexit><latexit sha1_base64="UOjl4tnMDGqZ8Y/MlF6ler5cm5Y=">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</latexit><latexit sha1_base64="UOjl4tnMDGqZ8Y/MlF6ler5cm5Y=">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</latexit><latexit sha1_base64="UOjl4tnMDGqZ8Y/MlF6ler5cm5Y=">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</latexit>
  • 57.
    証言を多項式化 ■ B「私は悪魔ではありません」 y=2の時、上手くいかない。 4-(2-1)(2-3)(2-4)=2で等式が成立しない。 () y2 (y 1)(y3)(y 4) = 1?<latexit sha1_base64="71eltvpgkUHTGeq5TyUIQ+M/aTE=">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</latexit><latexit sha1_base64="71eltvpgkUHTGeq5TyUIQ+M/aTE=">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</latexit><latexit sha1_base64="71eltvpgkUHTGeq5TyUIQ+M/aTE=">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</latexit><latexit sha1_base64="71eltvpgkUHTGeq5TyUIQ+M/aTE=">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</latexit>
  • 58.
    有限体　　　　　　　　　　　　で考える。 F5 = {0,1, 2, 3, 4}<latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">AAACdnichVHLSsNAFD2N7/po1Y0gSLFUXZRyUxVFEERBXNZHVbBSkjhqaJqEJK1o8Qf8ARfiQkGL+Blu/AEX/QRxqaALF96mAVFR7zAzZ87cc+fMjGobuusR1UJSU3NLa1t7R7izq7snEu3tW3etkqOJrGYZlrOpKq4wdFNkPd0zxKbtCKWoGmJDLSzU9zfKwnF1y1zzDm2xXVT2TH1X1xSPqXy0dzE/OZurUFJOppPjyYnccT4apxT5EfsJ5ADEEUTGilaRww4saCihCAETHmMDClxuW5BBsJnbRoU5h5Hu7wscI8zaEmcJzlCYLfC4x6utgDV5Xa/p+mqNTzG4O6yMIUEPdEPPdE+39Ejvv9aq+DXqXg55VhtaYecjJwOrr/+qijx72P9U/enZwy6mfa86e7d9pn4LraEvH50+r86sJCojdElP7P+CanTHNzDLL9rVslg5Q5g/QP7+3D/BejolU0penojPzQdf0Y5BDGOM33sKc1hCBlk+9wDnuEY19CYNSQlptJEqhQJNP76ERB/qpY7C</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit><latexit sha1_base64="QVH2+etqMaUcBdfZ0uvmsXXLk2Y=">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</latexit> （5=0 とする） よって、 に対しx = 1, 2, 3, 4<latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit><latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit><latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit><latexit sha1_base64="3jHVgILjDXdtgRL+D/BhBXucV3A=">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</latexit> 14 = 1 24 = 16 = 3 · 5 + 1 = 1 34 = 81 = 16 · 5 + 1 = 1 44 = 256 = 51 · 5 + 1 = 1<latexit sha1_base64="rcNeJzdf49fNGxWIh/78ZKZbqNU=">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</latexit><latexit sha1_base64="rcNeJzdf49fNGxWIh/78ZKZbqNU=">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</latexit><latexit sha1_base64="rcNeJzdf49fNGxWIh/78ZKZbqNU=">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</latexit><latexit sha1_base64="rcNeJzdf49fNGxWIh/78ZKZbqNU=">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</latexit> （フェルマーの小定理）x4 = 1 () x = 1, 2, 3, 4<latexit sha1_base64="16UaCNN49KYYQvOIk9/9E+H6CUk=">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</latexit><latexit sha1_base64="16UaCNN49KYYQvOIk9/9E+H6CUk=">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</latexit><latexit sha1_base64="16UaCNN49KYYQvOIk9/9E+H6CUk=">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</latexit><latexit sha1_base64="16UaCNN49KYYQvOIk9/9E+H6CUk=">AAACh3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQsoVcSZ2BrG+OTnpeekppUUZaZnlCQWFeWXK1TYGuoY6RjrmMQLKBvoGYCBAibDEMpQZoCCgHyB5QwxDCkM+QzJDKUMuQypDHkMJUB2DkMiQzEQRjMYMhgwFADFYhmqgWJFQFYmWD6VoZaBC6i3FKgqFagiESiaDSTTgbxoqGgekA8ysxisOxloSw4QFwF1KjCoGlw1WGnw2eCEwWqDlwZ/cJpVDTYD5JZKIJ0E0ZtaEM/fJRH8naCuXCBdwpCB0IXXzSUMaQwWYLdmAt1eABYB+SIZor+savrnYKsg1Wo1g0UGr4HuX2hw0+Aw0Ad5ZV+SlwamBs1m4AJGgCF6cGMywoz0DA30DANNlB2coFHBwSDNoMSgAQxvcwYHBg+GAIZQoL0dDOsYtjPsYOJk0mcyY7KAKGVihOoRZkABTI4AAbWVdw==</latexit>
  • 59.
    証言を多項式化 ■ B「私は悪魔ではありません」 y=2の時、4-3=1となり、等式が成立。 () y2 3(y 1)4 (y3)4 (y 4)4 = 1<latexit sha1_base64="pfSZn02Vr5LO0ddJoPQqR/HUOe8=">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</latexit><latexit sha1_base64="pfSZn02Vr5LO0ddJoPQqR/HUOe8=">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</latexit><latexit sha1_base64="pfSZn02Vr5LO0ddJoPQqR/HUOe8=">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</latexit><latexit sha1_base64="pfSZn02Vr5LO0ddJoPQqR/HUOe8=">AAAClXicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQsYxPjk56XnpKaVFGWmZ5QkFhXllytUxhnpGmtU6hpqxpkAKWMIZQKkbA3jBZQN9AzAQAGTYQhlKDNAQUC+wHKGGIYUhnyGZIZShlyGVIY8hhIgO4chkaEYCKMZDBkMGAqAYrEM1UCxIiArEyyfylDLwAXUWwpUlQpUkQgUzQaS6UBeNFQ0D8gHmVkM1p0MtCUHiIuAOhUYVA2uGqw0+GxwwmC1wUuDPzjNqgabAXJLJZBOguhNLYjn75II/k5QVy6QLmHIQOjC6+YShjQGC7BbM4FuLwCLgHyRDNFfVjX9c7BVkGq1msEig9dA9y80uGlwGOiDvLIvyUsDU4NmM3ABI8AQPbgxGWFGeoYGeoaBJsoOTtCo4GCQZlBi0ACGtzmDA4MHQwBDKNDeaQx7GI4yHGMSZ7JlcmFygyhlYoTqEWZAAUz+APTKmZI=</latexit>
  • 60.
    証言を多項式化 ■ C「私は人間ではありません」 () z2 (z 1)(z2) = 1<latexit sha1_base64="gLfIQa/SobTxWTkWioJIuMiXfJQ=">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</latexit><latexit sha1_base64="gLfIQa/SobTxWTkWioJIuMiXfJQ=">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</latexit><latexit sha1_base64="gLfIQa/SobTxWTkWioJIuMiXfJQ=">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</latexit><latexit sha1_base64="gLfIQa/SobTxWTkWioJIuMiXfJQ=">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</latexit>
  • 61.
    条件を多項式化 ■ AとBとCは、別々の種族（天使、悪魔、人間） 第１式でx,y,zがそれぞれ異なることが分かり、 第２式で{x,y,z}={1,2,3},{1,2,4}（人間は２人いな いこと）が分かる () ( (x y)4 (y z)4 (zx)4 = 1 (x + y + z 1)(x + y + z 2) = 0 <latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit><latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit><latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit><latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit>
  • 62.
    証言の連立方程式 8 >>>>>>< >>>>>>: x2 (x 2)(x 3)(x4) = 1 y2 3(y 1)4 (y 3)4 (y 4)4 = 1 z2 (z 1)(z 2) = 1 (x y)4 (y z)4 (z x)4 = 1 (x + y + z 1)(x + y + z 2) = 0<latexit sha1_base64="gGQYkhEmXqxEojSovHL+XdV7MeA=">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</latexit><latexit sha1_base64="gGQYkhEmXqxEojSovHL+XdV7MeA=">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</latexit><latexit sha1_base64="gGQYkhEmXqxEojSovHL+XdV7MeA=">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</latexit><latexit sha1_base64="gGQYkhEmXqxEojSovHL+XdV7MeA=">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</latexit>
  • 63.
    グレブナー基底と計算 =)<latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit><latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit><latexitsha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit><latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit> グレブナー基底 8 >< >: x 4 = 0 y 2 = 0 z 1 = 0<latexit sha1_base64="jDWlWeDV+tdAbMA1QB7yjmcb7Ag=">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</latexit><latexit sha1_base64="jDWlWeDV+tdAbMA1QB7yjmcb7Ag=">AAACnXicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQtYxCSlpmfmVScDzSiu5VJQqNA1UbM1iIkBMit1jWDMKl1DIJMrJjUvBao0XkDZQM8ADBQwGYZQhjIDFATkCyxniGFIYchnSGYoZchlSGXIYygBsnMYEhmKgTCawZDBgKEAKBbLUA0UKwKyMsHyqQy1DFxAvaVAValAFYlA0WwgmQ7kRUNF84B8kJnFYN3JQFtygLgIqFOBQdXgqsFKg88GJwxWG7w0+IPTrGqwGSC3VALpJIje1IJ4/i6J4O8EdeUC6RKGDIQuvG4uYUhjsAC7NRPo9gKwCMgXyRD9ZVXTPwdbBalWqxksMngNdP9Cg5sGh4E+yCv7krw0MDVoNgMXMAIM0YMbkxFmpGdooGcYaKLs4ASNCg4GaQYlBg1geJszODB4MAQwhALtncdwhOEswzkmeSZXJh8mP4hSJkaoHmEGFMAUDgCGb5t0</latexit><latexit sha1_base64="jDWlWeDV+tdAbMA1QB7yjmcb7Ag=">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</latexit><latexit sha1_base64="jDWlWeDV+tdAbMA1QB7yjmcb7Ag=">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</latexit> x = 4, y = 2, z = 1<latexit sha1_base64="54gavNJGG6VL5rGrirzoW9ZJloY=">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</latexit><latexit sha1_base64="54gavNJGG6VL5rGrirzoW9ZJloY=">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</latexit><latexit sha1_base64="54gavNJGG6VL5rGrirzoW9ZJloY=">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</latexit><latexit sha1_base64="54gavNJGG6VL5rGrirzoW9ZJloY=">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</latexit> 8 >>>>>>< >>>>>>: x2 (x 2)(x 3)(x 4) = 1 y2 3(y 1)4 (y 3)4 (y 4)4 = 1 z2 (z 1)(z 2) = 1 (x y)4 (y z)4 (z x)4 = 1 (x + y + z 1)(x + y + z 2) = 0<latexit sha1_base64="gGQYkhEmXqxEojSovHL+XdV7MeA=">AAADBnichZHNS9xQEMAn6Ycaa13bi+Bl6aLsIlkmu4uKUJB66dGvVcHokjyf68NsEpLsssniXfwHPHiyUEopeJNeC734D3jwTyg9WujFg5OPfqjYziMz82bmN5n3nulawg8QLyX50eMnT/v6B5TBZ0PPh3MjL1Z9p+0xXmeO5XjrpuFzS9i8HojA4uuux42WafE1c28+zq91uOcLx14JQpdvtoymLXYEMwIKNXInusmbwu4x6uHvK/l8d6uiFrtqpUSqGqtaaeK1puuUCilVLYaqVtqqkammpkbmV0UUwxEVkKr85qhJmNZGsYnU7l9IsTsZTiZI6sQYKjq3t7OZGrkCljGR/H1Hy5wCZLLg5D6ADtvgAIM2tICDDQH5Fhjg09oADRBcim1Cj2IeeSLJc9gHhdg2VXGqMCi6R7pJu40satM+7uknNKO/WPR5ROZhHC/wI17hOX7Cb3j9YK9e0iOeJSRrpix3G8OHo8s//0u1yAaw+4f658wB7MBMMqug2d0kEp+CpXwnOrpanl0a703gO/xO85/gJX6lE9idH+z9Il86BoUeQLt73fed1UpZw7K2WCvMvcmeoh/G4BUU6b6nYQ7ewgLUgUl9kipNSdPygXwqn8mf01JZypiXcEvkLzfsx7X0</latexit><latexit sha1_base64="gGQYkhEmXqxEojSovHL+XdV7MeA=">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</latexit><latexit sha1_base64="gGQYkhEmXqxEojSovHL+XdV7MeA=">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</latexit><latexit sha1_base64="gGQYkhEmXqxEojSovHL+XdV7MeA=">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</latexit>
  • 64.
    ■  天使…常に本当のことを言う ■  悪魔…常に嘘のことを言う ■ 人間…本当のことも言うし嘘のことも言う 証言 ■  A「私は天使ではありません」 ■  B「私は悪魔ではありません」 ■  C「私は人間ではありません」 答え：A:人間(正直)、B:悪魔、C:天使
  • 65.
    証言の一般化 X1「〇〇〇」 X2「〇〇〇」 X3「〇〇〇」 X1、X2、X3の〇〇〇がそれぞれが多項式　　　　　　　 で表されているとする。つまり、 　　　　　　　　「Xiの〇〇〇が正しい」 このとき、 X1「○○○」 X2「○○○」 X3「○○○」 fi(x, y, z)<latexitsha1_base64="Pkpm5zFkZTCJu2nnj/1QGuG8Wzk=">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</latexit><latexit 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sha1_base64="Pkpm5zFkZTCJu2nnj/1QGuG8Wzk=">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</latexit><latexit sha1_base64="Pkpm5zFkZTCJu2nnj/1QGuG8Wzk=">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</latexit> (i = 1, 2, 3)<latexit 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sha1_base64="CvW7pLfHNhjmQMuB5NaXrzaysJs=">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</latexit><latexit 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sha1_base64="MW4KV+3+JasWH+qsoCj64b1uU84=">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</latexit> () x2 3f1(x, y, z)4 = 1<latexit 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sha1_base64="eF8VrNcvaxrv8fOueZajw2yKURw=">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</latexit><latexit sha1_base64="eF8VrNcvaxrv8fOueZajw2yKURw=">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</latexit> () y2 3f2(x, y, z)4 = 1<latexit 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sha1_base64="ByevHITFg2KX6Q0n819zQpa28dc=">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</latexit> () z2 3f3(x, y, z)4 = 1<latexit 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sha1_base64="gYhJrzpWiMxCT7knTl8bFDtaFSU=">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</latexit><latexit 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  • 66.
    証明 有限体{0,1,2,4,5}で考える。（つまり、5=0として考える。） が成り立つので（フェルマーの小定理）、　　　　　 　　　　　　　　　　　　　　　　　に対し また、 x4 = 1 ()x = 1, 2, 3, 4<latexit sha1_base64="16UaCNN49KYYQvOIk9/9E+H6CUk=">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</latexit><latexit 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sha1_base64="16UaCNN49KYYQvOIk9/9E+H6CUk=">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</latexit><latexit sha1_base64="16UaCNN49KYYQvOIk9/9E+H6CUk=">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</latexit> f(x, y, z)4 = 0 () f(x, y, z) = 0<latexit 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sha1_base64="K9qphfoJ7EMB3+RUKLNjFXzM+F0=">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</latexit><latexit sha1_base64="K9qphfoJ7EMB3+RUKLNjFXzM+F0=">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</latexit><latexit sha1_base64="K9qphfoJ7EMB3+RUKLNjFXzM+F0=">AAACkHicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQtop2lU6FTqVGnGmdgaKMT45Oel56SmlRRlpmeUJBYV5ZcrwBTYGsQLKBvoGYCBAibDEMpQZoCCgHyB5QwxDCkM+QzJDKUMuQypDHkMJUB2DkMiQzEQRjMYMhgwFADFYhmqgWJFQFYmWD6VoZaBC6i3FKgqFagiESiaDSTTgbxoqGgekA8ysxisOxloSw4QFwF1KjCoGlw1WGnw2eCEwWqDlwZ/cJpVDTYD5JZKIJ0E0ZtaEM/fJRH8naCuXCBdwpCB0IXXzSUMaQwWYLdmAt1eABYB+SIZor+savrnYKsg1Wo1g0UGr4HuX2hw0+Aw0Ad5ZV+SlwamBs1m4AJGgCF6cGMywoz0DA30DANNlB2coFHBwSDNoMSgAQxvcwYHBg+GAIZQoL0TGbYzHGA4yCTEZMFkz+QIUcrECNUjzIACmLwAwuqY1g==</latexit> {x, y, z} ⇢ {0, 1, 2, 3, 4}<latexit sha1_base64="ZMoJgD35bAuy0yQp7lrOFyxkxsE=">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</latexit><latexit 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sha1_base64="ZMoJgD35bAuy0yQp7lrOFyxkxsE=">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</latexit><latexit sha1_base64="ZMoJgD35bAuy0yQp7lrOFyxkxsE=">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</latexit> f(x, y, z)4 = 1 () f(x, y, z) 6= 0<latexit sha1_base64="mWKzA+jDei2SnOQQMO2d6+XkNy0=">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</latexit><latexit 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sha1_base64="mWKzA+jDei2SnOQQMO2d6+XkNy0=">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</latexit><latexit sha1_base64="mWKzA+jDei2SnOQQMO2d6+XkNy0=">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</latexit> x2 = 1 () x = 1, 4<latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">AAACg3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQvIVcQZ2RrG+OTnpeekppUUZaZnlCQWFeWXK1TYGuqYxAsoG+gZgIECJsMQylBmgIKAfIHlDDEMKQz5DMkMpQy5DKkMeQwlQHYOQyJDMRBGMxgyGDAUAMViGaqBYkVAViZYPpWhloELqLcUqCoVqCIRKJoNJNOBvGioaB6QDzKzGKw7GWhLDhAXAXUqMKgaXDVYafDZ4ITBaoOXBn9wmlUNNgPklkognQTRm1oQz98lEfydoK5cIF3CkIHQhdfNJQxpDBZgt2YC3V4AFgH5Ihmiv6xq+udgqyDVajWDRQavge5faHDT4DDQB3llX5KXBqYGzWbgAkaAIXpwYzLCjPQMDfQMA02UHZygUcHBIM2gxKABDG9zBgcGD4YAhlCgvS0Mqxg2M2xhYmXSZjJiMoEoZWKE6hFmQAFMtgDAXJSQ</latexit><latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit><latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit><latexit sha1_base64="FHSyw+/cf65z+a8CYhTf1n60IEg=">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</latexit> x2 = 4 () x = 2, 3<latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit><latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit><latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit><latexit sha1_base64="1N4iLRmJfqPGpRVYlm/bKz40H+I=">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</latexit>
  • 67.
    X1「○○○」　　　　　　　　　　　　　　　　　　を示す。 　●　　　　　　　　　　　　　　　　　　　　　の時、 　● の時、 よって、⇒が成り立つ。 x =1, 4, f1(x, y, z) = 0<latexit sha1_base64="UZDcGl+SXxQ4g6LhIYvvCakHqpY=">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</latexit><latexit sha1_base64="UZDcGl+SXxQ4g6LhIYvvCakHqpY=">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</latexit><latexit sha1_base64="UZDcGl+SXxQ4g6LhIYvvCakHqpY=">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</latexit><latexit sha1_base64="UZDcGl+SXxQ4g6LhIYvvCakHqpY=">AAACfnichVHLSsNAFD3GV62vqhvFTbEoCrXeSEERhKIbl76qgkpJ4rQG0yQmabEWce8PuHClUEQE/Qg3/oALP0FcKrhx4U0aEBX1DjNz5sw9d87MqLahux7RY4PU2NTc0hppi7Z3dHZ1x3p611yr5Ggiq1mG5WyoiisM3RRZT/cMsWE7QimqhlhX9+b9/fWycFzdMle9ii22i0rB1PO6pnhM5WIDB7NyMp3c2i8pO/F8Th49SFaSh2OzFM3FEpSiIOI/gRyCBMJYtGKX2MIOLGgooQgBEx5jAwpcbpuQQbCZ20aVOYeRHuwLHCHK2hJnCc5QmN3jscCrzZA1ee3XdAO1xqcY3B1WxjFMD3RFL3RP1/RE77/WqgY1fC8VntW6Vti57pP+lbd/VUWePex+qv707CGP6cCrzt7tgPFvodX15cPTl5WZ5eHqCF3QM/s/p0e64xuY5VettiSWz+B/gPz9uX+CtcmUTCl5KZ3IzIVfEcEghjDK7z2FDBawiCyfe4wabnArQRqRxqWJeqrUEGr68CWk6Q95bJC8</latexit> x2 3f1(x, y, z)4 = 1 0 = 1<latexit sha1_base64="QyOQU8GRPvPZmqKuoFVavubGxGo=">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</latexit><latexit sha1_base64="QyOQU8GRPvPZmqKuoFVavubGxGo=">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</latexit><latexit sha1_base64="QyOQU8GRPvPZmqKuoFVavubGxGo=">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</latexit><latexit sha1_base64="QyOQU8GRPvPZmqKuoFVavubGxGo=">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</latexit> =) x2 3f1(x, y, z)4 = 1<latexit sha1_base64="5/8Z7/ZGUYEs7HeMgx9SUzt2RIg=">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</latexit><latexit sha1_base64="5/8Z7/ZGUYEs7HeMgx9SUzt2RIg=">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</latexit><latexit sha1_base64="5/8Z7/ZGUYEs7HeMgx9SUzt2RIg=">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</latexit><latexit sha1_base64="5/8Z7/ZGUYEs7HeMgx9SUzt2RIg=">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</latexit> x = 2, 3, f1(x, y, z) 6= 0<latexit sha1_base64="hgIb/tOftbzGFcnvdwQPrE5K1KQ=">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</latexit><latexit sha1_base64="hgIb/tOftbzGFcnvdwQPrE5K1KQ=">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</latexit><latexit sha1_base64="hgIb/tOftbzGFcnvdwQPrE5K1KQ=">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</latexit><latexit sha1_base64="hgIb/tOftbzGFcnvdwQPrE5K1KQ=">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</latexit> x2 3f1(x, y, z)4 = 4 3 = 1<latexit sha1_base64="3c8397+Xw2SdUf5xUGeuE7PjYIg=">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</latexit><latexit sha1_base64="3c8397+Xw2SdUf5xUGeuE7PjYIg=">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</latexit><latexit sha1_base64="3c8397+Xw2SdUf5xUGeuE7PjYIg=">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</latexit><latexit sha1_base64="3c8397+Xw2SdUf5xUGeuE7PjYIg=">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</latexit>
  • 68.
    X1「○○○」　　　　　　　　　　　　　　　　　　を示す。 よって、←が成り立つ。（証明終） (= x2 3f1(x, y,z)4 = 1<latexit sha1_base64="ztELA6AGvX7Kld98C3M4mZj2Rik=">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</latexit><latexit sha1_base64="ztELA6AGvX7Kld98C3M4mZj2Rik=">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</latexit><latexit sha1_base64="ztELA6AGvX7Kld98C3M4mZj2Rik=">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</latexit><latexit sha1_base64="ztELA6AGvX7Kld98C3M4mZj2Rik=">AAACh3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQsoxfjk56XnpKaVJBYV5ZcrVMQZ6RqnxRtqVOhU6lRpxpnYGsYLKBvoGYCBAibDEMpQZoCCgHyB5QwxDCkM+QzJDKUMuQypDHkMJUB2DkMiQzEQRjMYMhgwFADFYhmqgWJFQFYmWD6VoZaBC6i3FKgqFagiESiaDSTTgbxoqGgekA8ysxisOxloSw4QFwF1KjCoGlw1WGnw2eCEwWqDlwZ/cJpVDTYD5JZKIJ0E0ZtaEM/fJRH8naCuXCBdwpCB0IXXzSUMaQwWYLdmAt1eABYB+SIZor+savrnYKsg1Wo1g0UGr4HuX2hw0+Aw0Ad5ZV+SlwamBs1m4AJGgCF6cGMywoz0DA30DANNlB2coFHBwSDNoMSgAQxvcwYHBg+GAIZQoL0dDOsYtjPsYOJk0mcyY7KAKGVihOoRZkABTI4AtEaVUA==</latexit> x = 1, 4 () x2 = 1 () 1 3f1(x, y, z)4 = 1 () f1(x, y, z)4 = 0 () f1(x, y, z) = 0<latexit 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sha1_base64="i6AoyMyFgnvpSkZ7VjI/TSmHi2I=">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</latexit><latexit sha1_base64="i6AoyMyFgnvpSkZ7VjI/TSmHi2I=">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</latexit>
  • 69.
  • 70.
    証言を多項式化 ■ Ｂは人間だ であるから、 A「Bは人間だ」 () f1(x, y,z) = (y 3)(y 4) = 0<latexit sha1_base64="a7RO65kl1uFF8se2eMDFv2qj3mA=">AAACkHicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQtox/jk56XnpKaVFGWmZ5QkFhXllyukxRtqVOhU6lRp2mpU6hprAgkTTVuDeAFlAz0DMFDAZBhCGcoOSjHaCxgYGALyBZYzxDCkMOQzJDOUMuQypDLkMZQA2TkMiQzFQBjNYMhgwFAAFItlqAaKFQFZmWD5VIZaBi6g3lKgqlSgikSgaDaQTAfyoqGieUA+yMxisO5koC05QFwE1KnAoGpw1WClwWeDEwarDV4a/MFpVjXYDJBbKoF0EkRvakE8f5dE8HeCunKBdAlDBkIXXjeXMKQxWIDdmgl0ewFYBOSLZIj+sqrpn4OtglSr1QwWGbwGun+hwU2Dw0Af5JV9SV4amBo0m4ELGAGG6MGNyQgz0jM00DMMNFR2cGKAAA4GaQYlBg1geJszODB4MAQwhALtnciwneEAw0EmISYLJnsmR4hSJkaoHmEGFMDkBQDC+pnl</latexit><latexit sha1_base64="RBS6byctPNIoVHPoTKPAAK+TRQU=">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</latexit><latexit sha1_base64="RBS6byctPNIoVHPoTKPAAK+TRQU=">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</latexit><latexit sha1_base64="BAgl1p7/zbv/Ado5042C0hjjgcw=">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</latexit> () x2 3(y 3)4 (y 4)4 = 1<latexit sha1_base64="SOTKWPcMAn3prPvXAHo8u6N7+vM=">AAACjnicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQtoxvjk56XnpKaVFGWmZ5QkFhXllytUxBnpGmtU6hprxpkAKRMgZWsYL6BsoGcABgqYDEMoQ9lBKUZ7AQMDQ0C+wHKGGIYUhnyGZIZShlyGVIY8hhIgO4chkaEYCKMZDBkMGAqAYrEM1UCxIiArEyyfylDLwAXUWwpUlQpUkQgUzQaS6UBeNFQ0D8gHmVkM1p0MtCUHiIuAOhUYVA2uGqw0+GxwwmC1wUuDPzjNqgabAXJLJZBOguhNLYjn75II/k5QVy6QLmHIQOjC6+YShjQGC7BbM4FuLwCLgHyRDNFfVjX9c7BVkGq1msEig9dA9y80uGlwGOiDvLIvyUsDU4NmM3ABI8AQPbgxGWFGeoYGeoaBhsoOTgwQwMEgzaDEoAEMb3MGBwYPhgCGUKC9/QxbGfYx7GcSYDJjsmWyhyhlYoTqEWZAAUweAOLPmRc=</latexit><latexit sha1_base64="b28lEIXBFWQoMBRvq1Y0voC0CnA=">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</latexit><latexit sha1_base64="b28lEIXBFWQoMBRvq1Y0voC0CnA=">AAACjnicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQtoxvjk56XnpKaVFGWmZ5QkFhXllytUxBnpGmtU6hprxpkAKRMgZWsYL6BsoGcABgqYDEMoQ9lBKUZ7yk2HyoB8geUMMQwpDPkMyQylDLkMqQx5DCVAdg5DIkMxEEYzGDIYMBQAxWIZqoFiRUBWJlg+laGWgQuotxSoKhWoIhEomg0k04G8aKhoHpAPMrMYrDsZaEsOEBcBdSowqBpcNVhp8NnghMFqg5cGf3CaVQ02A+SWSiCdBNGbWhDP3yUR/J2grlwgXcKQgdCF180lDGkMFmC3ZgLdXgAWAfkiGaK/rGr652CrINVqNYNFBq+B7l9ocNPgMNAHeWVfkpcGpgbNZuACRoAhenBjMsKM9AwN9AwDDZUdnBgggINBmkGJQQMY3uYMDgweDAEMoUB7+xm2Muxj2M8kwGTGZMtkD1HKxAjVI8yAApg8AKkwmp0=</latexit><latexit sha1_base64="Fr/vXIt081fALJJn+ELQjgHlhrk=">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</latexit>
  • 71.
    証言を多項式化 ■ Cは悪魔ではない であるから、 B「Cは悪魔ではない」 () f2(x, y,z) = (z 1)(z 3)(z 4) = 0<latexit sha1_base64="+dQbw/mHTFYRKhGzBeRb130DDTk=">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</latexit><latexit sha1_base64="0+rArmZHaPvIvTtzS52/SQCB9ic=">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</latexit><latexit sha1_base64="0+rArmZHaPvIvTtzS52/SQCB9ic=">AAAClXicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQsYxPjk56XnpKaVFGWmZ5QkFhXllyukxRtpVOhU6lRp2mpU6RpqAgljEGGiaWsQL6BsoGcABgqYDEMoQ9lBKUZ7yk2HyoB8geUMMQwpDPkMyQylDLkMqQx5DCVAdg5DIkMxEEYzGDIYMBQAxWIZqoFiRUBWJlg+laGWgQuotxSoKhWoIhEomg0k04G8aKhoHpAPMrMYrDsZaEsOEBcBdSowqBpcNVhp8NnghMFqg5cGf3CaVQ02A+SWSiCdBNGbWhDP3yUR/J2grlwgXcKQgdCF180lDGkMFmC3ZgLdXgAWAfkiGaK/rGr652CrINVqNYNFBq+B7l9ocNPgMNAHeWVfkpcGpgbNZuACRoAhenBjMsKM9AwN9AwDDZUdnBgggINBmkGJQQMY3uYMDgweDAEMoUB7pzHsYTjKcIxJnMmWyYXJDaKUiRGqR5gBBTD5AwDny5zJ</latexit><latexit sha1_base64="fw55IwHBbyJMJN1ghq7v9c0jgQw=">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</latexit> () y2 3(z 1)4 (z 3)4 (z 4)4 = 1<latexit sha1_base64="wM9FM7ru6ndmRjRk1fdIabr3Z9k=">AAAClXichVFdSxtBFD2u9Stajfqg0JdgsFiK4a4KiiAELdKHQv2KCkbD7jqJg5vdZXYSicE/4A/QB19qoZTSv9C3Yukf8MGfID4q+NKH3uwGSivaO8yeO2fuuXNm1g5cGWqiqxaj9Vlbe0dnV6K753lvX7J/YD30K8oROcd3fbVpW6FwpSdyWmpXbAZKWGXbFRv2/kJjf6MqVCh9b03XArFdtkqeLErH0kwVkpR/53slVxS1kqU9bSnlH6RqOxPjk2OH4+arnSmGyRimGObMQjJNGYoi9TAxm0k6O5J//QHAkp/8jDx24cNBBWUIeNCcu7AQ8tiCCULA3DbqzCnOZLQvcIQEaytcJbjCYnafvyVebTVZj9eNnmGkdvgUl6diZQqjdElf6JZ+0le6pl+P9qpHPRpeaox2rBVBoe94ePX+v6oyo8beH9WTnjWKmIm8SvYeREzjFk6srx6e3q7OrozWX9JHumH/53RF3/kGXvXO+bQsVs6Q4B9g/vvcD5P1iYxJGXPZTGfnEUcnXmAEY/ze08jiLZaQ43NP8A0X+GEMGXPGG2MxLjVamppB/BXG+9/K7psb</latexit><latexit sha1_base64="ruumuH9kC+lL/qcwjoATtHCwgkg=">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</latexit><latexit sha1_base64="ruumuH9kC+lL/qcwjoATtHCwgkg=">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</latexit><latexit sha1_base64="HBofpA4nNK+EgYU4cNQSGa/EI6E=">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</latexit>
  • 72.
    証言を多項式化 ■ Aは人間ではない であるから、 C「Aは人間ではない」 () f3(x, y,z) = (x 1)(x 2) = 0<latexit sha1_base64="PVViBHWl0GZf3iaDAXQ4prM0eOE=">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</latexit><latexit sha1_base64="+D35KjtY0B/LHz26aqfkf5xmh48=">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</latexit><latexit sha1_base64="+D35KjtY0B/LHz26aqfkf5xmh48=">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</latexit><latexit sha1_base64="WBiXJq2iQPSOOUE1xq7MCcYU0/Y=">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</latexit> () z2 3(x 1)4 (x 2)4 = 1<latexit sha1_base64="6gzDUOLCsXFYqESuHJx5yBS+9ps=">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</latexit><latexit sha1_base64="w77RjEe2SJzTRFOFodhEx1QnqPM=">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</latexit><latexit sha1_base64="w77RjEe2SJzTRFOFodhEx1QnqPM=">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</latexit><latexit sha1_base64="v3FkXLlnv8uD+WAX12k+SxmEC0Q=">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</latexit>
  • 73.
    条件を多項式化 ■ AとBとCは、別々の種族（天使、悪魔、人間） 第１式でx,y,zがそれぞれ異なることが分かり、 第２式で{x,y,z}={1,2,3},{1,2,4}（人間は２人いな いこと）が分かる () ( (x y)4 (y z)4 (zx)4 = 1 (x + y + z 1)(x + y + z 2) = 0 <latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit><latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit><latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit><latexit sha1_base64="g92nv6pGuKcuf0xOzLHxHouRcZQ=">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</latexit>
  • 74.
    証言の連立方程式 8 >>>>>>< >>>>>>: x2 3(y 3)4 (y 4)4 =1 y2 3(z 1)4 (z 3)4 (z 4)4 = 1 z2 3(x 1)4 (x 2)4 = 1 (x y)4 (y z)4 (z x)4 = 1 (x + y + z 1)(x + y + z 2) = 0<latexit sha1_base64="sJ/xWpSoBMQSkpeF1sziEI71IXU=">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</latexit><latexit sha1_base64="sJ/xWpSoBMQSkpeF1sziEI71IXU=">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</latexit><latexit sha1_base64="sJ/xWpSoBMQSkpeF1sziEI71IXU=">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</latexit><latexit sha1_base64="sJ/xWpSoBMQSkpeF1sziEI71IXU=">AAADC3ichVHNS9xQEJ/EVm20utpLwcvSxUWRXSZxQdEKopce/VoVjC7J87k+zCYhyS6bLP4DhZ49eFKwRTz2VnorBf8BD/4J4tFCLz108gHtVtpOSGbe72My7z3TtYQfIN5Kcs+Tp719/c+UgcHnQ8O5kdFN32l6jFeZYznetmn43BI2rwYisPi263GjYVp8yzxajvmtFvd84dgbQejy3YZRt8WBYEZAUC33Xjd5XdgdRj38YyWfb+9ppemJsDQ9uVehVKFUXFB1nagwoaKSGlNRqoi6FFGiaKeKdkn7jaJlmLaMUl+7i5wKp+LGWaFNFhdQ0bm9nw1WyxWwjEnkHxdqVhQgixUn9wF02AcHGDShARxsCKi2wACfnh1QAcElbBc6hHlUiYTncAwKeZuk4qQwCD2ib51WOxlq0zru6SduRn+x6PXImYdxvMFLfMBrvMI7/PHXXp2kRzxLSNlMvdytDb99uf79v64G5QAOf7n+OXMABzCbzCpodjdB4l2w1N+KTh7W59bGO0U8x3ua/wxv8QvtwG59YxerfO0UFLoA9c/jflxsamUVy+pqpbC4lF1FP4zBK5ig856BRXgDK1AFJg1KmjQvvZbfyR/lT/LnVCpLmecFdIX89Setlbet</latexit>
  • 75.
    グレブナー基底と計算 =)<latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit><latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit><latexitsha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit><latexit sha1_base64="xvD98gq5W0+MS1g1kgw00U9+N3k=">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</latexit> グレブナー基底 8 >< >: x 2 = 0 y 1 = 0 z 4 = 0<latexit 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sha1_base64="sJ/xWpSoBMQSkpeF1sziEI71IXU=">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</latexit><latexit sha1_base64="sJ/xWpSoBMQSkpeF1sziEI71IXU=">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</latexit>
  • 76.
    ■  天使…常に本当のことを言う ■  悪魔…常に嘘のことを言う ■ 人間…本当のことも言うし嘘のことも言う 証言 ■  A「Bは人間だ」 ■  B「Cは悪魔ではない」 ■  C「Aは人間ではない」 答え：A:悪魔、B:天使、C:人間(正直)
  • 77.