PLDI '21論文読み会: Cyclic Program Synthesis

Transcript

1. ୲౰ߐޱ
   $ZDMJD1SPHSBN4ZOUIFTJT
   1-%*ಡΈձ!*EFJO
   

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2. EFEVDUJWFQSPHSBNTZOUIFTJT
   ༩͑ΒΕͨ࢓༷Λຬͨ͢ϓϩάϥϜΛࣗಈͰߏ੒͢ΔλεΫ
   ਖ਼͕͠͞ূ໌͞Ε͍ͯΔ
   

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3. ݚڀ֓ཁ
   ࠶ؼతͳิॿؔ਺ΛؚΉIFBQNBOJQVMBUJOHQSPHSBNͷࣗಈੜ੒
   w $ZDMJD1SPPGͷٕज़ΛϓϩάϥϜ߹੒ʹԠ༻
   

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4. എܠ
   

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5. ϓϩάϥϜͷ࢓༷
   4FQBSBUJPOMPHJD
   w ϙΠϯλɺࢀরͳͲΛ൐͏ϓϩάϥϜͷঢ়ଶมԽΛදݱͰ͖Δ࿦ཧ
   w ࠶ؼతͳड़ޠΛ࢖ͬͯɺ༷ʑͳσʔλߏ଄ΛදݱͰ͖Δ
   

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6. طଘݚڀ4VT-JD
   4USVDUVSJOHUIFTZOUIFTJTPGIFBQNBOJQVMBUJOHQSPHSBNT<101->
   w 4FQBSBUJPOMPHJDΛ࢓༷ʹ$MJLFͳ࠶ؼؔ਺Λੜ੒
   w 4ZOUIFUJD4FQBSBUJPO-PHJD
   ͱ͍͏ϓϩάϥϜੜ੒༻ͷਪ࿦ମܥΛ࡞੒
   SSL
   ˎϒϥ΢β্ͰࢼͤΔ
   

   ɹIUUQDPNDPNDTBJMNJUFEVDPNDPN4V4-JL
   

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7. طଘݚڀ4VT-JD
   ͷݶք
   ิॿؔ਺෇͖ϓϩάϥϜΛੜ੒Ͱ͖ͳ͍
   ྫҎԼͷੜ੒͸ࣦഊ͢Δ
   ˎMJTUBQQFOEΛߦ͏࠶ؼతͳؔ਺͕ඞཁʹͳΔҝ
   Ұൠతʹɺิॿؔ਺ͷ࢓༷ΛࣗಈͰݟ͚ͭΔͷ͸೉͍͠໰୊
   ɹূ໌୳ࡧͷ؍఺Ͱ͸ɺؼೲ๏͕ճΔΑ͏ʹద੾ʹิ୊Λੜ੒͢Δ͜ͱʹରԠ
   

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8. ఏҊख๏
   

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9. ఏҊख๏
   w DZDMJDQSPPGΛ༻͍ͯ ͱ͍͏ਪ࿦ମܥΛߟҊ
   w 4VT-J,ͷ Λ֦ு
   w ্Ͱূ໌Λ୳ࡧ͠ɺϓϩάϥϜΛੜ੒͢Δ
   w ิॿؔ਺෇͖ϓϩάϥϜͷੜ੒͕Մೳʹ
   SSL↺
   SSL
   SSL↺
   

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10. $ZDMJDQSPPG
    "O*OUSPEVDUJPOUP$ZDMJD1SPPGTΑΓ
    IUUQXXXDTVDMBDVLTUB
    ff
    +#SPUIFSTUPOTMJEFT
    1"3*4@'-P$@@@QBSUQEG
    ॥؀Λڐ͢ূ໌ମܥ
    ূ໌໦ͷ-FBG෦෼ͱผͷOPEF΁ͷzCBDLMJOLz͕࡞ΕΔ
    w ॥؀ͷ࢓ํʹ͸੍໿Λ՝͢
    ɹɹʮ॥؀ͷதͰূ໌͕lਐΜͰ͍ΔzʯΈ͍ͨͳ੍໿
    ˎࣗ༝ʹ॥؀Λڐͤ͹ԿͰ΋ূ໌Ͱ͖ͯ͠·͏
    w ূ໌୳ࡧͱͷ૬ੑ͕ྑ͍෦෼͕͋Δ
    w POEFNBOEʹؼೲ๏͕ճͤΔ
    

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11. SSL↺
    w ͷ֦ு
    w ҎԼͷ߲̐ؔ܎Λಋग़͢Δূ໌ମܥ
    SSL
    Γ;
    𝒫
    ⇝
    𝒬
    ∣ c
    ࣄલ৚݅ ࣄޙ৚݅
    ม਺؀ڥ
    ͔ Ͱଋറ
    
    ∀ ∃
    ϓϩάϥϜ
    w ྫ
    w ߏจৄࡉ ࿦จͷ'JHVSF
    
    ∀r, s, x∃y; {r ↦ x * tree(x, s)} ⇝ {r ↦ y * sll(y, s)} ∣
    fl
    BUUFO S
    
    

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12. ͷಋग़نଇൈਮ
    SSL↺
    ʹ΋ಉ༷ͳ΋ͷ͋Δ΋ͷ
    SSL
    

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13. ͷಋग़نଇൈਮ
    SSL↺
    ಠࣗͷ΋ͷ ؔ਺ݺͼग़͠पΓ
    
    ͜Ε͸ؔ਺ݺͼग़͠ͷ४උͷͨΊͷSVMFɹ 8SJUFϧʔϧ͸ Λ௚઀ಋ༷͘ʹ͔͠࢖͑ͳ͍ͷͰඞཁ
    
    Q
    ؔ਺ݺͼग़͠ ࣗମ͕ੜ੒ͷର৅ʹͳ͍ͬͯΔ
    f(¯
    x)
    

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14. USFF'MBUUFOͷಋग़
    w
    
    
    fl
    BUUFOͷ࠶ؼݺͼग़͠ʹରԠ
    w
    ิॿؔ਺BQQFOE಺ͷ࠶ؼʹରԠ
    w BQQFOE͸ҎԼͷΑ͏ʹൃݟ͞ΕΔ
    ೋͭͷ Λͨ͠ޙ B
    
    Λ͞Βʹల։3FBEͨ͠ޙ C
    
    C
    ͔Β B
    ΁ͷ$BMM͕ద༻Ͱ͖Δ͜ͱʹؾ෇͘
    D
    ͷ༷ʹQSPDΛૠೖ͠CBDLMJOLΛ࡞Δ
    flatten()
    sll(yl, sl
    )
    

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15. ؔ਺ݺͼग़͠ͷੜ੒
    ީิΛ
    fi
    Y͞Ε্ͨͰɺҎԼͷඇܾఆੑ͕͋Δ
    w ୅ೖ
    w ࢒Γύʔτ ͷબ୒
    w TFUVQ෦෼ ͷੜ੒
    σ
    R
    c1
    ީิͱͳΔCBDLMJOLઌ DPNQBOJPO
    શͯΛࢼ͢
    

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16. ؔ਺ݺͼग़͠ͷੜ੒
    S` Y`͸GSFTIͳ ଋറ͞Εͨม਺
    
    ∃
    ͷTVCTFU QSFIFBQ͕࢒ͬͯ΋ྑ͍WFSTJPOͷFNQنଇ
    Ͱผ్ੜ੒໰୊Λղ͘
    SSL↺
    ྫࠨਤͷ
    ͷ෦෼ͷੜ੒
    ͷಋग़͔Β
    FNQنଇͰ࢒ͬͨ෦෼͕
    TFUVQϓϩάϥϜ
    ͕ಘΒΕΔ
    ∃ σ
    R
    c
    

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17. ධՁ
    

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18. ࣮ݧ݁Ռ
    w ࠶ؼతͳิॿؔ਺෇͖ͷϓϩάϥϜ
    w ࠨਤͷͱҎ֎
    w zDPNQMFYUFSNJOBUJPONFUSJDzΛඞཁͱ
    ͢Δ΋ͷ
    w ͱ
    w ૬ޓ࠶ؼతͳϓϩάϥϜ
    w
    w ͱ͕૬ޓ࠶ؼʹͳΔͷ͸ਓؒͷ
    ײ֮ͱ͸ͣΕΔʣ
    ༷ʑͳlෳࡶͳzϓϩάϥϜͷੜ੒ʹ੒ޭ
    

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19. ϕϯνϚʔΫྫMJTUJOQMBDFTPSU
    

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20. ϕϯνϚʔΫྫMJTUJOQMBDFTPSU
    ༨ஊTPSUͷఆ͕ٛΑ͘෼͔Βͳ͍
    ˣͳͲͰ͸μϝͳͷ͔
    5FDIOJDBMQBQFSͷ"QQFOEJOH$ʹҎԼͷهࡌ
    

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21. ϕϯνϚʔΫྫVOJRVFMJTUJOUFSTFDUJPO
    ҎԼͷΑ͏ͳTJNQMFͳ࢓༷Ͱ͸ੜ੒ʹࣦഊ͢Δ
    ҎԼͷΑ͏ͳFMFNؔ਺͕ੜ੒Ͱ͖Ε͹ྑ͍͕ɺ
    ख๏ͷݶքΛ௒͑Δ
    ͜ͷ࣌఺ͰɺZ͸EFTUSVDUͯ͠ΔͷͰYΛSʹՃ͑ͯྑ͍͔஌Δखஈ͕ͳ͍
    ҎԼͷΑ͏ʹ୳ࡧ͸͢Δ͕ɺɺ
    

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22. ϕϯνϚʔΫྫVOJRVFMJTUJOUFSTFDUJPO
    ZΛEFTUSVDU͠ͳ͍Α͏QPTUDPOEJUJPOʹڧΊΕ͹੒ޭ͢Δ
    ͕ɺҎԼͷΑ͏ͳzී௨ͷz࣮૷͸ੜ੒͞Εͳ͍ʢͰ͖ͳ͍ʣ
    ͜͜Ͱิॿؔ਺ͷ࢓༷ͷQSFDPOEJUJPOͷ৚݅Λ؇ΊΔඞཁ͕͋ΓɺఏҊख๏Ͱ͸Ͱ͖ͳ͍
    ୅ΘΓʹɺzී௨ͱ͸ఔԕ͍zϓϩάϥϜ͕ੜ੒͞ΕΔ
    ஶऀୡͰ͢ΒผͷϓϩάϥϜݕূػΛ࢖ͬͯਖ਼͠͞Λ͔֬ΊΔఔ
    

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23. MJNJUBUJPO
    w ੜ੒Ͱ͖Δิॿؔ਺ʹ੍ݶ͋Γ
    w ৽ͨͳEBUBߏ଄Λ࢖͏΋ͷ΍ɺBDDVNVMBUPSͳͲ௥ՃҾ਺Λ࢖͏Α͏ͳ΋ͷ͸ੜ
    ੒Ͱ͖ͳ͍
    w ิॿؔ਺ͷ࢓༷Λద੾ʹzҰൠԽzͰ͖ͳ͍ʢJOUFSTFDUͷྫʹ༷͋ͬͨʹʣ
    w ੜ੒ίʔυͷύϑΥʔϚϯε͸อূ͞Εͳ͍
    w MPPQͷαϙʔτ͕ͳ͍
    w ຤ඌ࠶ؼΛੜ੒͢Δ࢓૊ΈΛ࡞Ε͹ྑ͍͕ɺద੾ͳBDDVNVMBUPSΛੜ੒͢Δඞཁ͕
    ͋Δͷ͕೉͍͠
    

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24. ·ͱΊ
    w ࠶ؼతͳิॿؔ਺ΛؚΉIFBQNBOJQVMBUJOHQSPHSBNͷࣗಈੜ੒
    w $ZDMJD1SPPGͷٕज़ΛϓϩάϥϜ߹੒ʹԠ༻
    w ϓϩάϥϜ߹੒πʔϧʢ$ZQSFTTʣΛ࣮૷
    w ૬ޓ࠶ؼؚΉิॿؔ਺෇͖ϓϩάϥϜͷੜ੒ʹ੒ޭ
    

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