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/6--͓͡͞ΜΛԥΔͨΊͷ 1SJODJQMFPGFYQMPTJPO !TPUB

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ँࡑ

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Զʮ/6--શવؔ܎ͳ͔ͬͨʜʯ

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ඇਖ਼نԽ/6--͓͡͞ΜΛԥΔͨΊͷ 1SJODJQMFPGFYQMPTJPO !TPUB

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ࣗݾ঺հ w ˏTPUB w JTUZMF *OD w 1)1+BWB4DSJQU

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'PMMPXNF

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%#ͷ͓࿩͠·͢ ϚαΧϦίϫΠσε

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Έͳ͞Μ͸ඇਖ਼نԽ͓͡͞ΜΛ ͝ଘ஌Ͱ͔͢ʁ

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ඇਖ਼نԽ͓͡͞Μͱ͸ w ʮ+0*/͢Δͱ஗͘ͳΔ͔Βਖ਼نԽ΍ΊΕʯ w ʮσʔλ͕ࢄΒ͹Δ͔Βਖ਼نԽ΍ΊΕʯ

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ࡶฌ๻ʮ͙͵͵ʜʯ w ਖ਼͘͠3%#Λཧղͯ͠ͳ͍ͱඇਖ਼نԽ͓͡͞Μ Λ౗͢ͷ͸೉͍͠ w ᐆດͳཧ࿦෢૷ͩͱzܦݧzΛ෢ثʹෛ͚ͯ͠· ͏͜ͱ͕ଟ͍

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๻ʮͦ͏ͩɺཧ࿦෢૷͠Α͏ʯ

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ຊಡΜͩ ཧ࿦͔ΒֶͿσʔλϕʔε࣮ફೖ໳ 8%#13&44QMVT Ԟ໺װ໵ ஶ

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ਖ਼نԽͷඞཁੑΛ ͱ͋ΔҰ໘͔Β੾ΓࠐΜͰΈΔ

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ͦ΋ͦ΋ਖ਼نԽͱ͸

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ਖ਼نԽͱ͸ w 3%#ͷઃܭख๏ͱཱͯ֬͠͞Εͨख๏ w ͻͱ͜ͱͰݴ͏ͱʮσʔλϕʔε͔ΒॏෳΛͳ͘ ͢ʯ࡞ۀ

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ͱ͋Δςʔϒϧ ໊લ ֶ೥ ޷͖ͳ৯΂෺ ࡶฌଠ࿠ όφφ ࡶฌՖࢠ εΠΧ ࡶฌଠ࿠ ΋΋ ࡶฌՖࢠ ΓΜ͝

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ͱ͋Δςʔϒϧ ໊લ ֶ೥ ޷͖ͳ৯΂෺ ࡶฌଠ࿠ όφφ ࡶฌՖࢠ εΠΧ ࡶฌଠ࿠ ΋΋ ࡶฌՖࢠ ΓΜ͝ ʮ̋̋͞Μ͸̋೥ੜʯͱ͍͏৘ใ͕ ॏෳ͍ͯ͠Δ

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ਖ਼نԽ͢Δ ໊લ ֶ೥ ޷͖ͳ৯΂෺ ࡶฌଠ࿠ όφφ ࡶฌՖࢠ εΠΧ ࡶฌଠ࿠ ΋΋ ࡶฌՖࢠ ΓΜ͝ ໊લ ޷͖ͳ৯΂෺ ࡶฌଠ࿠ όφφ ࡶฌՖࢠ εΠΧ ࡶฌଠ࿠ ΋΋ ࡶฌՖࢠ ΓΜ͝ ໊લ ֶ೥ ࡶฌଠ࿠ ࡶฌՖࢠ

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ਖ਼نԽ͠ͳ͍ͱʜ ໊લ ֶ೥ ޷͖ͳ৯΂෺ ࡶฌଠ࿠ όφφ ࡶฌՖࢠ εΠΧ ࡶฌଠ࿠ ΋΋ ࡶฌՖࢠ ΓΜ͝ ࡶฌଠ࿠ ύΠφοϓϧ */4&35

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ਖ਼نԽ͠ͳ͍ͱʜ ໊લ ֶ೥ ޷͖ͳ৯΂෺ ࡶฌଠ࿠ όφφ ࡶฌՖࢠ εΠΧ ࡶฌଠ࿠ ΋΋ ࡶฌՖࢠ ΓΜ͝ ࡶฌଠ࿠ ύΠφοϓϧ */4&35 ໃ६ͨ͠σʔλ

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͢ͳΘͪ ਖ਼نԽ͠ͳ͍ͱ͍͏͜ͱ͸ໃ६ͨ͠σʔλ͕ ૠೖ͞ΕΔཱ֬Λ্͛Δ͜ͱ

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ໃ६ͷޭࡑ

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3%#ͷૅ w 3%#͸ϦϨʔγϣφϧϞσϧΛ࣮૷ͨ͠΋ͷ w ϦϨʔγϣφϧϞσϧ͸ू߹࿦࿦ཧֶΛݩʹ͠ ͨσʔλϞσϦϯά

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3%#ͷૅ w 3%#͸ϦϨʔγϣφϧϞσϧΛ࣮૷ͨ͠΋ͷ w ϦϨʔγϣφϧϞσϧ͸ू߹࿦࿦ཧֶΛݩʹ͠ ͨσʔλϞσϦϯά w ໃ६͸࿦ཧֶΛࡴ͢

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ࡶฌ๻ʮ࿦ཧֶʜ ꒪⌓꒪ ʁʯ

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ඵͰཧղ͢Δ࿦ཧֶ w ࿦ཧֶͱ͸z໋୊zΛ͜Ͷ͘Γ·Θֶ͢໰ w ໋୊ͱ͸ਅِΛ࣮֬ʹ໰͑Δ΋ͷ w ʮਿӜ͸உͰ͋Δʯ w ʮ໺ࡊ͸͓͍͍͠ʯ

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ඵͰཧղ͢Δ࿦ཧֶ w ࿦ཧֶʹ͸ఆཧ͕ଘࡏ͢Δ w ਺ֶͰݴ͏ʮެࣜʯ w ఆཧΛݩʹ͋ΒΏΔ໋୊ͷਅِΛಋ͖ग़͢

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࿦ཧֶʹ͓͚Δఆཧ w ೋॏ൱ఆͷআڈ • not (not A) = true -> A = true w ࿦ཧੵͷಋೖ • A = true, B = true -> (A and B) = true • ࿦ཧ࿨ͷಋೖ • A = true -> (A or B) = true

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ࠓ೔ͷओ໾͸͜ͷఆཧͷ͏ͪͷͭ

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ʊਓਓਓਓਓਓਓਓਓਓਓਓਓʊ ʼɹ1SJODJQMFPGFYQMPTJPOɹʻ ʉ:?:?:?:?:?:?:?:?:?:ʉ

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1SJODJQMFPGFYQMPTJPO w ௚༁͢Δͱʮരൃͷ๏ଇʯ w ࿦ཧֶʹ͓͚Δఆཧͷͭ w ໃ६͔Β͋ΒΏΔ໋୊Λಋ͘ΦιϩγΠఆཧ • (A and not A) = true -> B = true

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1SJODJQMFPGFYQMPTJPO w ௚༁͢Δͱʮരൃͷ๏ଇʯ w ࿦ཧֶʹ͓͚Δఆཧͷͭ w ໃ६͔Β͋ΒΏΔ໋୊Λಋ͘ΦιϩγΠఆཧ • (A and not A) = true -> B = true

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ཁ͢Δʹʜʁ w ʮਿӜ͸ࡶฌͰ͋ΔʯͱʮਿӜ͸ࡶฌͰͳ͍ʯ ͕ڞʹਅ࣮Ͱ͋Δͱ͢Δ

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ཁ͢Δʹʜʁ w ʮਿӜ͸ࡶฌͰ͋ΔʯͱʮਿӜ͸ࡶฌͰͳ͍ʯ ͕ڞʹਅ࣮Ͱ͋Δͱ͢Δ w ʮਿӜ͸ࡀͰ͋Δʯͱ͍͏ಥഥࢠ΋ͳ໋͍ ୊΋ਅͱ͢Δ͜ͱ͕Մೳ

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ূ໌ͯ͠ΈΔ w A and not A͕ਅͱͳΔ"͕ଘࡏ͢ΔͱԾఆ͢Δ

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ূ໌ͯ͠ΈΔ w ೚ҙͷ໋୊Λ#ͱ͢Δ • A or B ͸ਅ • (B or A) and not A ͸ਅ • ਪ࿦نଇʹΑΓB͸ਅ

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ূ໌Ͱ͖ͯ͠·ͬͨʜ w A and (not A)͕ਅͰ͋Δ͜ͱͰɺಥഥࢠ΋ ͳ͘ग़໋͖ͯͨ୊#͕ਅͩͱূ໌Ͱ͖ͯ͠·ͬͨ

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ࡶฌ๻͸ 1SJODJQMFPGFYQMPTJPOΛ֮͑ͨʂ

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ໃ६JT&WJM w ϦϨʔγϣφϧϞσϧͷϕʔε͸࿦ཧֶ w ࿦ཧֶΛഁյ͢Δໃ६͕ଘࡏ͢ΔͱϦϨʔγϣ φϧϞσϧ΋·่ͨյ͢Δ w ʮਖ਼͍͠σʔλʯΛฦ͞ͳ͍3%#ʹՁ஋͸͋Δ ͷ͔

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ໃ६Λආ͚Δʹ͸ʁ w σʔλʹໃ६ΛؚΊͳ͍ॏෳΛۃྗආ͚Δ w ॏෳΛආ͚ΔͨΊʹ͸ਖ਼نԽΛ࢖͏

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ඇਖ਼نԽ͓͡͞ΜʹऻΘΕͨΒ w ਖ਼نԽͷ໨తΛ఻͑Α͏ w ਖ਼نԽ͸ໃ६ΛؚΉՄೳੑΛԼ͛ΔͨΊͷ΋ͷ w ໃ६͸3%#ͷੈքΛյ͠͏Δ w ࠔͬͨΒໃ६ͷ࿩Λ͠Α͏ w ๻ʮ1SJODJQMFPGFYQMPTJPOͱ͍͏ͷ͕͋ͬͯͰ͢Ͷʜʯ

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ͱ͸͍͑ w ݱ࣮ੈքΛશͯ࿦ཧֶͷੈքʹϚοϐϯά͢Δ͜ͱ ͸ෆՄೳ w ݱ࣮ͷσʔλϕʔε͸ϋʔυ΢ΣΞ͓ͩۚ͠΋༗ݶ

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΄ͲΑ͘ਖ਼نԽ͠Α͏ w ਖ਼نԽʹ͸Ϩϕϧ͕͋Δ d/' #/' d/' w 3%#Λ͖ͪΜͱཧղͯ͠܅͚ͩͷ࠷ڧͷσʔλ ϕʔεΛઃܭ͠Α͏ʂ

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͝੩ௌ͋Γ͕ͱ͏͍͟͝·ͨ͠