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CoqSSRMathComp.pdf

 CoqSSRMathComp.pdf

Masakazu Asama

June 09, 2018
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  1. $PR443FqFDU.BUI$PNQ
    Ͱఆཧূ໌
    ઙؒਖ਼࿨!/*40$


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  2. ͜Μͳܦݧ͋Γ·ͤΜ͔ʁ
    !2
    041'΍*4*4ͱ͍͍ͬͨΘΏΔϦϯΫεςʔτܕ
    ͷϧʔςΟϯάϓϩτίϧͰ͸μΠΫετϥ๏ͱ
    ݺ͹ΕΔΞϧΰϦζϜͰܦ࿏Λܭࢉ͢Δ͕
    Ռͨͯ͠ຊ౰ʹμΠΫετϥ๏Ͱܭࢉͨ͠ܦ࿏ʹ
    ͸lઈରʹzϧʔϓ͕ଘࡏ͠ͳ͍ͷͩΖ͏͔ʁ
    ͱ͍͏͜ͱ͕ؾʹͳͬͯ໷ͳ͔ͳ͔৸෇͚ͳ͍
    $PR443FqFDU.BUI$PNQΛ࢖͑͹ʜ

    ͦͷূ໌ʹໃ६΍ඈ༂͕ͳ͍͔νΣοΫͰ͖Δ

    ࢖༻͢ΔఆཧͳͲΛ؆୯ʹ֬ೝͰ͖Δ
    㱠উखʹূ໌ͯ͘͠ΕΔ
    ˞ͨͩͦ͠͏͍͏ͷ΋͋Δ
    Πϥετ $
    ͍Β͢ͱ΍

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  3. $PR443FqFDU.BUI$PNQ
    w $PR
    w ఆཧূ໌ࢧԉγεςϜͷͻͱͭ
    w (BMMJOBͱݺ͹ΕΔϓϩάϥϛϯάݴޠ͕ఏڙ͞Ε͓ͯΓ(BMMJOBΛ
    ༻͍ͯূ໌Λهड़͢ΔˠܗࣜԽ
    w 443FqFDU
    w $PRͰܗࣜԽ͢ΔࡍͷศརͳϞϊΛ·ͱΊͨϥΠϒϥϦ
    w ΋ͱ΋ͱ͸࢛৭ఆཧ 'PVSDPMPSUIFPSFN
    ͷূ໌ͷܗࣜԽͷࡍ
    ʹඞཁͱͳͬͨఆཧͳͲ͕·ͱΊΒΕͨ΋ͷ
    w .BUI$PNQ
    w ح਺Ґ਺ఆཧ 'FJU5IPNQTPOUIFPSFN0EEPSEFSUIFPSFN
    Λ
    ূ໌ΛܗࣜԽ͢Δࡍʹඞཁͱͳͬͨ΋ͷΛ·ͱΊͨ΋ͷ
    w ݱࡏ͸443FqFDUΛؚΉ
    !3

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  4. ࢛৭ఆཧ 'PVSDPMPSUIFPSFN

    w טΈࡅ͍͍ͯ͏ͱʰͲΜͳ஍ਤͰ͋ͬͯ΋

    ࢛৭͋Ε͹ྡ઀͢ΔྖҬ͕ҟͳΔ৭ʹͳΔ

    Α͏ʹృΓ෼͚Δࣄ͕Ͱ͖Δʱͱ͍͏ఆཧ
    w ೥ʹϑϥϯγεɾΨεϦʔ͕ఋͷϑϨ

    σϦοΫɾΨεϦʔʹ࣭໰ͨ͠ͷ͕ॳग़ͱ

    ͞Ε͍ͯΔ
    w ೥ʹέωεɾΞοϖϧͱϰΥϧϑΨϯ

    άɾϋʔέϯʹΑͬͯίϯϐϡʔλΛར༻

    ͨ͠ূ໌͕ͳ͞Ε͕ͨਓखʹΑΔ࣮ߦ͕ࣄ

    ্࣮ෆՄೳͳن໛ͩͬͨͨΊʹݕূΛߦ͏

    ࣄ͕Ͱ͖ͣຊ౰ʹূ໌Ͱ͖͍ͯΔͷ͔ٙ໰

    ࢹ͢Δ޲͖΋͋ͬͨ
    w ೥ʹδϣϧδϡɾΰϯςΟΤʹΑͬͯ$PRΛ༻͍ͨূ໌ͷܗࣜ
    Խ͕ߦΘΕݱࡏͰ͸࢛৭ఆཧ͸ূ໌͞Εͨͱଊ͑ΒΕ͍ͯΔ
    !4
    ը૾8JLJQFEJBΑΓҾ༻

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  5. ͜Μͳײ͡
    !5

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  6. ͜Μͳײ͡
    !6
    εΫϦϓτΤϦΞ
    ূ໌Λॻ͘ ܗࣜԽ͢Δ
    ͱ͜Ζ

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  7. ͜Μͳײ͡
    !7
    ΰʔϧΤϦΞ
    ݱࡏͷঢ়ଶ͕දࣔ͞ΕΔͱ͜Ζ
    ্ஈʜίϯςΩετ
    ৚݅ͳͲ͕දࣔ͞ΕΔ
    Լஈʜαϒΰʔϧ
    ূ໌͍ͨ͜͠ͱ

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  8. ͜Μͳײ͡
    !8
    ϨεϙϯεΤϦΞ
    ίϚϯυͷग़ྗ͕දࣔ͞ΕΔͱ͜Ζ

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  9. ͜Μͳײ͡
    !9
    ূ໌ΛਐΊͨΓ໭ͨ͠Γ͢ΔͨΊͷϘλϯ
    ਐΊΔͱഎܠ৭͕มΘΔ

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  10. ͜Μͳײ͡
    !10

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  11. ͜Μͳײ͡
    !11

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  12. ͜Μͳײ͡
    !12

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  13. ͜Μͳײ͡
    !13

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  14. ͜Μͳײ͡
    !14

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  15. ͜Μͳײ͡
    !15

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  16. ͜Μͳײ͡
    !16

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  17. ͜Μͳײ͡
    !17

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  18. ͜Μͳײ͡
    !18

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  19. ͜Μͳײ͡
    !19

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  20. ͜Μͳײ͡
    !20

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  21. ͜Μͳײ͡
    !21

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  22. ͜Μͳײ͡
    !22

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  23. ͜Μͳײ͡
    !23

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  24. ͜Μͳײ͡
    !24

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  25. ͜Μͳײ͡
    !25

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  26. ͜Μͳײ͡
    !26

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  27. ͜Μͳײ͡
    !27

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  28. ͜Μͳײ͡
    !28

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  29. ͜Μͳײ͡
    !29

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  30. ͜Μͳײ͡
    !30

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  31. ͜Μͳײ͡
    !31

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  32. ͜Μͳײ͡
    !32

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  33. ͜Μͳײ͡
    !33

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  34. ͜Μͳײ͡
    !34

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  35. ͜Μͳײ͡
    !35

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  36. ͜Μͳײ͡
    !36

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  37. ͱ͜ΖͰ
    !37

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  38. ͱ͜ΖͰ
    !38

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  39. ͱ͜ΖͰ
    !39

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  40. ͱ͜ΖͰ
    !40

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  41. w ೥ʹϋεέϧɾΧϦʔ͕ώϧϕϧτͷਪ࿦ମܥͱίϯϏωʔλ
    ͕ରԠͯ͠ΔΜ͡Όͳ͍͔ͱࢦఠͨ͠
    w ೥ʹ΢ΟϦΞϜɾΞϧϰΟϯɾϋϫʔυ͕ήϯπΣϯͷࣗવԋ៷
    ͱ୯७ܕ෇͖ϥϜμܭࢉʹߏจతͳಉܕੑ͕͋Δ͜ͱΛࣔͨ͠
    w ཁ͢ΔʹҎԼͷରԠ͕͋ΔΒ͍͠
    w $PR͸ܕγεςϜͷධՁΛ͢Δ͜ͱͰূ໌ʹޡΓ͕ͳ͍͜ͱΛอূ͠
    ͍ͯΔʁʁʁ
    ΧϦʔʹϋϫʔυಉܕରԠ
    !41
    ϓϩάϥϜɹɹূ໌
    ܕɹɹ໋୊
    ϓϩάϥϜͷධՁɹɹূ໌ͷ୯७Խ

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  42. ·ͱΊ
    w $PR443FqFDU.BUI$PNQΛ࢖͑͹ܭࢉػͷྗΛआΓͯఆཧূ໌ͷ
    ׬શੑΛอূ͢Δ͜ͱ͕Ͱ͖Δ
    w 443FqFDU.BUI$PNQʹ͸ศརͳఆཧͳͲ͕༻ҙ͞Ε͓ͯΓθϩ͔
    ΒܗࣜԽ͢ΔखؒΛল͍ͯ͘ΕΔ
    w 443FqFDUʹ͸άϥϑཧ࿦ͷܗࣜԽΛߦ͏ͨΊͷϥΠϒϥϦ΋༻ҙ
    ͞Ε͍ͯΔ
    w ܗࣜԽͨ͠΋ͷ͸ܭࢉػͰػցతʹѻ͏͜ͱ΋ՄೳͳͷͰ΋͔ͨ͠͠
    Βఆཧূ໌ͷࣗಈԽ΋Ͱ͖ΔΑ͏ʹͳΔ͔΋͠Εͳ͍ʁʁʁ
    w ͢ͰʹϓϨεόʔΨʔࢉज़ʁͱ͔͍͏ͷ͸େ෦෼Λܾఆ͢Δ͜ͱ͕
    Ͱ͖ΔΒ͍͠ʁʁʁ
    !42

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  43. ࢀߟจݙ
    w $PR443FqFDU.BUI$PNQʹΑΔఆཧূ໌ʙϑϦʔιϑτͰ͸͡Ί
    Δ਺ֶͷܗࣜԽʙഡݪֶɺΞϑΣϧτɾϨφϧυ
    w IUUQXXXNPSJLJUBDPKQCPPLTCPPL
    w .BUIFNBUJDBM$PNQPOFOUT UIFCPPL
    (JU)VC1BHFT
    w IUUQTNBUIDPNQHJUIVCJPNDC
    w 4PGUXBSF'PVOEBUJPOT
    w IUUQTTPGUXBSFGPVOEBUJPOTDJTVQFOOFEV
    w 1SPQPTJUJPOTBTUZQFT1IJMJQ8BEMFS
    w IUUQIPNFQBHFTJOGFEBDVLXBEMFSQBQFSTQSPQPTJUJPOT
    BTUZQFTQSPQPTJUJPOTBTUZQFTQEG
    w 5IF$PR1SPPG"TTJTUBOU
    w IUUQTDPRJOSJBGS
    w .BUIFNBUJDBM$PNQPOFOUT
    w IUUQNBUIDPNQHJUIVCJPNBUIDPNQ
    !43

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  44. ࢀߟจݙ
    w $PRTPVSDFTGPSUIFQSPPGPGUIF'PVS$PMPS5IFPSFN
    EJTUSJCVUFECZ.JDSPTPGU3FTFBSDI
    w IUUQSFTFBSDINJDSPTPGUDPNFOVTEPXOMPBETFC
    CEGDCGFECEFEEFGBVMUBTQY
    w 3PVUJOHJO&RVJMJCSJVN+PB
    _P-V
    ’T4PCSJOIP 5JNPUIZ((SJ⒏O
    w IUUQXXXDMDBNBDVLdUHHQVCMJDBUJPOT
    SPVUJOH@JO@FRVJMJCSJVN@NUOT@QEG
    w IUUQXXXDMDBNBDVLdUHHNFUBSPVUJOHSJFW
    !44

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